{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Getting Started with the `castor_etc` Python Package: Photometry\n", "\n", "Isaac Cheng - April 2022 (Updated: November 2024)\n", "\n", "This notebook provides a brief overview of how to use the CASTOR exposure time calculator\n", "(ETC) with some of the different source types: a point source, extended source, and a\n", "galaxy.\n", "\n", "We always recommend reading the docstring of a class or function prior to using it.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:07.300836Z", "iopub.status.busy": "2024-11-11T06:13:07.300567Z", "iopub.status.idle": "2024-11-11T06:13:12.396884Z", "shell.execute_reply": "2024-11-11T06:13:12.396138Z", "shell.execute_reply.started": "2024-11-11T06:13:07.300807Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/conda/lib/python3.12/site-packages/pytools/persistent_dict.py:63: RecommendedHashNotFoundWarning: Unable to import recommended hash 'siphash24.siphash13', falling back to 'hashlib.sha256'. Run 'python3 -m pip install siphash24' to install the recommended hash.\n", " warn(\"Unable to import recommended hash 'siphash24.siphash13', \"\n" ] } ], "source": [ "import astropy.units as u\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from matplotlib.colors import LogNorm\n", "\n", "from castor_etc.background import Background\n", "from castor_etc.photometry import Photometry\n", "from castor_etc.sources import ExtendedSource, GalaxySource, PointSource\n", "from castor_etc.telescope import Telescope" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check which version of the `castor_etc` package we are using.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:12.398894Z", "iopub.status.busy": "2024-11-11T06:13:12.398394Z", "iopub.status.idle": "2024-11-11T06:13:12.550556Z", "shell.execute_reply": "2024-11-11T06:13:12.549741Z", "shell.execute_reply.started": "2024-11-11T06:13:12.398836Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Python 3.12.7\n", "`castor_etc` version: 1.3.2\n" ] } ], "source": [ "from importlib.metadata import version\n", "\n", "!python --version\n", "print(\"`castor_etc` version:\", version(\"castor_etc\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preliminary information\n", "\n", "In general, there are four basic steps to doing any photometry calculation with the\n", "`castor_etc` Python package:\n", "\n", "1. Describe the telescope\n", "2. Characterize the sky background\n", "3. Simulate a source\n", "4. Specify a photometry aperture\n", "\n", "Hence you will need some variation of the following imports:\n", "\n", "```python\n", "from castor_etc.background import Background\n", "from castor_etc.photometry import Photometry\n", "from castor_etc.sources import CustomSource, ExtendedSource, GalaxySource, PointSource\n", "from castor_etc.telescope import Telescope\n", "```\n", "\n", "There are other capabilities available in the `castor_etc` package (e.g., see the\n", "`conversions` module), but these are not necessary to perform a photometry calculation.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Point Source\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Describe the telescope\n", "\n", "First, we specify the telescope parameters by creating a `Telescope` object. All aspects\n", "of the telescope are customizable. This includes, but is not limited to, the number and\n", "name of passbands, passband response curves and the passband limits, the full width at\n", "half-maximum of the telescope's point spread function, pixel scale, read noise, extinction\n", "coefficients of each passband, etc. Given some passband response curve, the photometric\n", "zero-point and pivot wavelength are calculated automatically.\n", "\n", "For convenience, each `Telescope` object is initialized with sensible default values\n", "according to the most up-to-date information available at the time. These parameters are\n", "maintained and updated in a central file. If the user needs to modify any telescope\n", "parameters, it is recommended to pass in just the modified value(s) to a particular\n", "`Telescope` instance rather than modifying the source file directly. If multiple\n", "parameters need to be set each time, the user can store the parameters in a dictionary and\n", "use Python's dictionary unpacking (e.g., `**kwargs`) to automatically populate the\n", "relevant fields.\n", "\n", "This means that, theoretically, this package can be used for other missions as long as the\n", "telescope detector is CCD- or CMOS-based (or at least somewhat similar in the sense that\n", "you can characterize read noise, dark current, etc.).\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:12.552241Z", "iopub.status.busy": "2024-11-11T06:13:12.551963Z", "iopub.status.idle": "2024-11-11T06:13:12.935701Z", "shell.execute_reply": "2024-11-11T06:13:12.934982Z", "shell.execute_reply.started": "2024-11-11T06:13:12.552212Z" } }, "outputs": [], "source": [ "# For now, just use default telescope parameters\n", "MyTelescope = Telescope()\n", "\n", "# (Example) To specify a new detector read noise:\n", "# MyTelescope = Telescope(read_noise=1.0) # electron/pixel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Characterize the sky background\n", "\n", "The sky background is characterized by three parameters: Earthshine, zodiacal light, and\n", "geocoronal emission (aka airglow). By default, the `Background` object uses spectra from\n", "HST that give average Earthshine and zodiacal light values. Users can also input their own\n", "Earthshine or zodiacal light spectra. Alternatively, they can describe the background\n", "conditions by specifying the sky background AB magnitudes per square arcsecond in each\n", "passband, which will take precedence over any spectrum files. Note that these AB\n", "magnitudes should include the effects of both Earthshine and zodiacal light.\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:12.936883Z", "iopub.status.busy": "2024-11-11T06:13:12.936592Z", "iopub.status.idle": "2024-11-11T06:13:13.375803Z", "shell.execute_reply": "2024-11-11T06:13:13.375088Z", "shell.execute_reply.started": "2024-11-11T06:13:12.936859Z" } }, "outputs": [], "source": [ "# Use default sky background values below\n", "MyBackground = Background()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This background object currently does not have any geocoronal emission lines added to it.\n", "\n", "Users can add an arbitrary amount of geocoronal emission lines. For convenience, we set\n", "the default airglow value to represent the O[II] 2471A emission line, which is centred at\n", "2471 angstrom with a linewidth of 0.023 angstrom. There are three predefined flux values\n", "(in units of erg/cm^2/s/arcsec^2): \"high\" ($3.0\\times10^{-15}$), \"avg\"\n", "($1.5\\times10^{-15}$), and \"low\" ($7.5\\times10^{-17}$). As usual, users can specify their\n", "own numeric values of flux, wavelength, and linewidth for each geocoronal emission line.\n", "\n", "Suppose we are expecting high levels of airglow for our observation. We will add a O[II]\n", "2471A geocoronal emission line to reflect this information below.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:13.377874Z", "iopub.status.busy": "2024-11-11T06:13:13.377577Z", "iopub.status.idle": "2024-11-11T06:13:13.401620Z", "shell.execute_reply": "2024-11-11T06:13:13.400946Z", "shell.execute_reply.started": "2024-11-11T06:13:13.377846Z" } }, "outputs": [], "source": [ "MyBackground.add_geocoronal_emission(flux=\"high\")\n", "# Remember that the default wavelength and linewidth are for the O[II] 2471A emission line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's visualize our sky background (excluding geocoronal emission) below. We will also\n", "calculate the sky background AB magnitudes per square arcsecond in each passband, again\n", "only including Earthshine and zodiacal light.\n", "\n", "As a final note, we assume uniform sky background over our aperture. Note, however, that\n", "we can specify spatially non-uniform backgrounds, pixel-by-pixel, in our `Photometry`\n", "object (discussed below). For example, you might wish to multiply each pixel's sky\n", "background by some random value sampled from a Normal distribution. We will not be showing\n", "this here as it is outside the scope of this demonstration, but please feel free to reach\n", "out if you have any questions about this.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:13.402732Z", "iopub.status.busy": "2024-11-11T06:13:13.402473Z", "iopub.status.idle": "2024-11-11T06:13:13.854906Z", "shell.execute_reply": "2024-11-11T06:13:13.854176Z", "shell.execute_reply.started": "2024-11-11T06:13:13.402706Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average sky background AB magnitudes per sq. arcsec: {'uv': np.float64(27.727671220869446), 'u': np.float64(24.24061667787523), 'g': np.float64(22.585290961046475)}\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Visualize the Earthshine + zodiacal light spectra. Note that _all_ of this code is only\n", "# to plot the spectra and that this is absolutely not a required step in using the ETC...\n", "#\n", "fig, ax = plt.subplots()\n", "ax.plot(\n", " MyBackground.earthshine_wavelengths,\n", " MyBackground.earthshine_flam,\n", " lw=1,\n", " label=\"Earthshine\",\n", ")\n", "ax.plot(\n", " MyBackground.zodi_wavelengths,\n", " MyBackground.zodi_flam,\n", " lw=1,\n", " label=\"zodiacal light\",\n", ")\n", "# Since these two spectra have the same wavelength grid, we can simply add them together\n", "# to get the total Earthshine + zodiacal light spectrum. If th|eir wavelength grids are\n", "# different, we can use interpolation (e.g., from `scipy`) to make them the same.\n", "ax.plot(\n", " MyBackground.earthshine_wavelengths,\n", " (MyBackground.earthshine_flam + MyBackground.zodi_flam),\n", " lw=1,\n", " label=\"Earthshine + zodiacal light\",\n", ")\n", "ax.set_xlabel(r\"Wavelength [\\AA]\")\n", "ax.set_ylabel(r\"Flux [$\\rm erg\\,s^{-1}\\,cm^2\\,$\\AA$^{-1}$]\")\n", "ax.legend()\n", "ax.set_xlim(0, 25000)\n", "ax.set_ylim(bottom=0)\n", "#\n", "# Find the sky background AB magnitudes per square arcsecond in each telescope passband\n", "#\n", "print(\n", " \"Average sky background AB magnitudes per sq. arcsec:\",\n", " MyBackground.calc_mags_per_sq_arcsec(MyTelescope),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulate the source\n", "\n", "In general, the creation of any `Source` object has three steps:\n", "\n", "- Determining the type of the source (i.e., a point source, an extended source like a\n", " diffuse nebula, a galaxy, etc.)\n", "- Describing the physical properties of the source, such as its spectrum (including any\n", " emission/absorption lines), the surface brightness profile of an extended source or\n", " galaxy, its redshift, distance, etc. Not all of these parameters need to be specified\n", " depending on your source.\n", "- (Optional) Renormalizing the source spectrum. There are many normalization schemes\n", " available (e.g., normalize to an AB magnitude within a passband, normalize to a total\n", " luminosity and distance). Note that these normalizations can be applied at any time\n", " (e.g., can be before or after the addition of spectral lines).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We currently support generating the following spectra (the choice of spectra is agnostic\n", "to the source type):\n", " - blackbody\n", " - power-law\n", " - emission line\n", " - uniform (i.e., flat), in units of erg/s/cm$^2$/A or erg/s/cm$^2$/Hz or AB magnitude or\n", " ST magnitude\n", "\n", "Users can use their own spectra if available (see the `use_custom_spectrum()` docstring\n", "for more details). Stellar spectra from the Pickles spectral library are also available\n", "(see the `use_pickles_spectrum()` docstring for more details). Likewise, a generic\n", "spectrum representing a spiral and elliptical galaxy are available from via the\n", "`use_galaxy_spectrum()` method.\n", "\n", "Let us simulate a star as a blackbody point source.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:13.856146Z", "iopub.status.busy": "2024-11-11T06:13:13.855863Z", "iopub.status.idle": "2024-11-11T06:13:14.643886Z", "shell.execute_reply": "2024-11-11T06:13:14.643178Z", "shell.execute_reply.started": "2024-11-11T06:13:13.856120Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Create point source\n", "#\n", "MySource = PointSource()\n", "#\n", "# Approximate the star as a blackbody with a temperature of 8000 K. By default, the\n", "# spectral radiance of the blackbody (erg/s/cm^2/A/sr) is normalized to a star of 1 solar\n", "# radius at 1 kpc distance to get the flux density in erg/s/cm^2/A (this can be changed\n", "# via the `radius` and `dist` parameters).\n", "# Note that only the temperature is required below, but some others are shown for\n", "# illustration.\n", "#\n", "MySource.generate_bb(8000 * u.K, redshift=0.06, limits=[900, 30000] * u.AA)\n", "#\n", "# Renormalize the spectrum so it has a bolometric AB magnitude of 25.\n", "# Note that bolometric AB magnitudes assume perfect telescope detector response over the\n", "# whole spectrum.\n", "# Also note that the spectrum should vanish (i.e., be very small) at the edges; this can\n", "# be changed using the `limits` parameter for `generate_bb()` above.\n", "# Please read the docstring for this function for more details.\n", "#\n", "MySource.norm_to_AB_mag(25)\n", "#\n", "# Visualize the spectrum\n", "#\n", "MySource.show_spectrum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For fun, let us add some (weirdly broad) spectral lines to this spectrum!\n", "\n", "The `abs_peak` and `abs_dip` flags denote whether the peak/dip of the spectral line should\n", "include the continuum (`True`) or should be added/subtracted on top of the continuum\n", "(`False`).\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:14.645023Z", "iopub.status.busy": "2024-11-11T06:13:14.644766Z", "iopub.status.idle": "2024-11-11T06:13:14.876446Z", "shell.execute_reply": "2024-11-11T06:13:14.875756Z", "shell.execute_reply.started": "2024-11-11T06:13:14.644996Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Add emission and absorption lines. These spectral lines will always be well-sampled and\n", "# the continuum spectrum does not necessarily have to be equally-spaced (in fact, no\n", "# calculation in the ETC, at any point, assumes that any spectrum is equally-spaced). Note\n", "# that you can also specify the total flux (in erg/s/cm^2) of the spectral line in lieu of\n", "# the specifying its value at the peak/dip\n", "#\n", "MySource.add_emission_line(\n", " center=2000 * u.AA, fwhm=200 * u.AA, peak=5e-19, shape=\"gaussian\", abs_peak=False\n", ")\n", "MySource.add_absorption_line(\n", " center=5005 * u.AA, fwhm=40 * u.AA, dip=2e-19, shape=\"lorentzian\", abs_dip=True\n", ")\n", "#\n", "# Visualize the spectrum with the emission and absorption lines added\n", "#\n", "MySource.show_spectrum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Do photometry\n", "\n", "Finally, we will do the point-source photometry by specifying properties in a `Photometry`\n", "object.\n", "\n", "The most important part is specifying an aperture. So far, options include:\n", "\n", "- optimal aperture (point sources only),\n", "- elliptical aperture, and\n", "- rectangular aperture.\n", "\n", "Each of these apertures can be further customized. In the future, we may add an annular\n", "aperture.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use an optimal aperture, which by default is a circular aperture with a diameter\n", "equal to $1.4\\times$ the FWHM of the telescope's PSF. Currently, the encircled energy\n", "calculation assumes the telescope's PSF is described by a Gaussian.\n", "\n", "We also use fractional pixel weights when simulating our source through the photometry\n", "aperture. That is, we calculate the fractional overlap between the aperture and each\n", "pixel. The sum of this aperture mask gives the \"effective number of aperture pixels\".\n", "Confused? More details and a more obvious example of this being applied will be described\n", "in the `Extended Source` section below.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:14.877549Z", "iopub.status.busy": "2024-11-11T06:13:14.877280Z", "iopub.status.idle": "2024-11-11T06:13:16.135478Z", "shell.execute_reply": "2024-11-11T06:13:16.134608Z", "shell.execute_reply.started": "2024-11-11T06:13:14.877523Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Create Photometry object\n", "#\n", "MyPhot = Photometry(MyTelescope, MySource, MyBackground)\n", "#\n", "# Specify the aperture\n", "#\n", "MyPhot.use_optimal_aperture() # warning messages can be silenced using quiet=True\n", "#\n", "# Show the source as viewed through the aperture\n", "#\n", "for band in MyTelescope.passbands:\n", " MyPhot.show_source_weights(passband=band)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Users can change the number of aperture pixels used in the signal-to-noise (S/N) ratio\n", "calculation if they desire. Again by default, this is the \"effective number of aperture\n", "pixels\"; see the `calc_snr_or_t()` method docstring for more details. Note that read noise\n", "is calculated to always be for an integer number of pixels (i.e., `ceil(number of pixels\n", "in aperture)`).\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember that this spectrum is normalized such that it's continuum spectrum has a\n", "bolometric AB magnitude of 25. We then added emission and absorption lines on top of the\n", "spectrum.\n", "\n", "Let's see what is the AB magnitude in each of the telescope's passbands.\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:16.136809Z", "iopub.status.busy": "2024-11-11T06:13:16.136484Z", "iopub.status.idle": "2024-11-11T06:13:16.142845Z", "shell.execute_reply": "2024-11-11T06:13:16.142115Z", "shell.execute_reply.started": "2024-11-11T06:13:16.136782Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'uv': np.float64(26.44580324104077), 'u': np.float64(24.964036810739323), 'g': np.float64(24.391672332311423)}\n" ] } ], "source": [ "#\n", "# Calculate the AB magnitude in each of the telescope's passbands\n", "#\n", "print(MySource.get_AB_mag(MyTelescope))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now find the time required to achieve a signal-to-noise ratio (SNR) of 10 in each\n", "passband and verify that these integration times produce an SNR of 10.\n", "\n", "Let's say that the *E(B-V)* value for this telescope pointing is 0.01.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:16.143932Z", "iopub.status.busy": "2024-11-11T06:13:16.143688Z", "iopub.status.idle": "2024-11-11T06:13:16.336109Z", "shell.execute_reply": "2024-11-11T06:13:16.335256Z", "shell.execute_reply.started": "2024-11-11T06:13:16.143907Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time (s) required to reach SNR=10 in uv-band 1052.8014187348936\n", "SNR achieved in t=1052.8014187348936 seconds in uv-band 10.0\n", "\n", "Time (s) required to reach SNR=10 in u-band 248.21615426248252\n", "SNR achieved in t=248.21615426248252 seconds in u-band 9.999999999999998\n", "\n", "Time (s) required to reach SNR=10 in g-band 130.0356738505753\n", "SNR achieved in t=130.0356738505753 seconds in g-band 10.0\n", "\n" ] } ], "source": [ "TARGET_SNR = 10\n", "REDDENING = 0.01 # E(B-V)\n", "\n", "# (By default, returns a dictionary with the passbands as the keys)\n", "# times = MyPhot.calc_snr_or_t(snr=TARGET_SNR, reddening=REDDENING)\n", "# print(f\"Time (s) required to reach SNR={TARGET_SNR} in each passband:\", times)\n", "\n", "# (For prettier printing)\n", "for band in MyTelescope.passbands:\n", " time = MyPhot.calc_snr_or_t(snr=TARGET_SNR, reddening=REDDENING, quiet=True)[band]\n", " print(f\"Time (s) required to reach SNR={TARGET_SNR} in {band}-band\", time)\n", " snr = MyPhot.calc_snr_or_t(t=time, reddening=REDDENING, quiet=True)[band]\n", " print(f\"SNR achieved in t={time} seconds in {band}-band\", snr)\n", " print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extended Source\n", "\n", "We will be brief in our description of some steps below since much of the procedure\n", "overlaps with the previous point source demonstration.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:16.337417Z", "iopub.status.busy": "2024-11-11T06:13:16.337137Z", "iopub.status.idle": "2024-11-11T06:13:16.748055Z", "shell.execute_reply": "2024-11-11T06:13:16.747296Z", "shell.execute_reply.started": "2024-11-11T06:13:16.337389Z" } }, "outputs": [], "source": [ "#\n", "# Define telescope instance with a custom dark current\n", "#\n", "MyTelescope = Telescope(dark_current=0.01) # dark current in electron/s per pixel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose we know the sky background surface brightness in this particular area of the sky.\n", "We can easily specify this in our background object, overriding any internal values.\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:16.749093Z", "iopub.status.busy": "2024-11-11T06:13:16.748856Z", "iopub.status.idle": "2024-11-11T06:13:16.970847Z", "shell.execute_reply": "2024-11-11T06:13:16.970061Z", "shell.execute_reply.started": "2024-11-11T06:13:16.749068Z" } }, "outputs": [], "source": [ "#\n", "# Generate background object\n", "#\n", "MyBackground = Background(mags_per_sq_arcsec={\"uv\": 26.08, \"u\": 23.74, \"g\": 22.60})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will create an extended source. By default, there are two surface brightness\n", "profiles available: \"uniform\" and \"exponential\". A uniform profile results in a constant\n", "surface brightness over an elliptical region and the surface brightness drops to zero\n", "immediately outside this ellipse. In contrast, an exponential profile is defined by its\n", "scale lengths along the semimajor and semiminor axes, and the surface brightness smoothly\n", "decreases from the centre of the source to infinity.\n", "\n", "Additionally, a user can supply a function that describes some arbitrary surface\n", "brightness profile. Please see the `ExtendedSource` docstring for more details on the\n", "different `profile` options.\n", "\n", "If the user wants to supply a surface brightness profile from a FITS file, then please use\n", "the `CustomSource` class and see the [`custom_source.ipynb`](./custom_source.ipynb)\n", "notebook.\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:16.973635Z", "iopub.status.busy": "2024-11-11T06:13:16.973330Z", "iopub.status.idle": "2024-11-11T06:13:17.013831Z", "shell.execute_reply": "2024-11-11T06:13:17.013122Z", "shell.execute_reply.started": "2024-11-11T06:13:16.973608Z" } }, "outputs": [], "source": [ "#\n", "# Create an extended source\n", "#\n", "MySource = ExtendedSource(\n", " angle_a=3 * u.arcsec, # semimajor axis\n", " angle_b=1 * u.arcsec, # semiminor axis\n", " rotation=45, # CCW angle relative to x-axis\n", " profile=\"uniform\", # \"uniform\" or \"exponential\" or a function\n", ")\n", "# Both a uniform surface brightness & exponentially-decaying surface brightness\n", "# (characterized by scale lengths) are available" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose the source is akin to a supernova remnant, where the continuum is very low. We can\n", "approximate the spectrum as a single emission line in this case.\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:17.014923Z", "iopub.status.busy": "2024-11-11T06:13:17.014686Z", "iopub.status.idle": "2024-11-11T06:13:17.444104Z", "shell.execute_reply": "2024-11-11T06:13:17.443418Z", "shell.execute_reply.started": "2024-11-11T06:13:17.014898Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Source AB mags {'uv': np.float64(31.463107529100533), 'u': np.float64(39.00305848994173), 'g': np.float64(24.000000000000007)}\n", "Source bolometric AB mag 26.27045005940969\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Generate an emission line spectrum (e.g., O[III] emission line)\n", "#\n", "MySource.generate_emission_line(\n", " center=5007 * u.AA,\n", " fwhm=10 * u.AA,\n", " peak=7e-21, # will be renormalized\n", " shape=\"lorentzian\",\n", ")\n", "#\n", "# Renormalize the spectrum to an AB magnitude of 24 in the telescope's g-band.\n", "# Note that the spectral flux density is very close to zero in the UV- and u-bands, hence\n", "# the AB magnitude in these bands are very large (i.e., very dim)\n", "#\n", "MySource.norm_to_AB_mag(24, \"g\", TelescopeObj=MyTelescope)\n", "print(\"Source AB mags\", MySource.get_AB_mag(MyTelescope))\n", "print(\"Source bolometric AB mag\", MySource.get_AB_mag())\n", "#\n", "# View the spectrum\n", "#\n", "MySource.show_spectrum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This time, let's use a rectangular photometry aperture. We can also set the aperture\n", "centre to be displaced from the source centre. The `center` parameter specifies the\n", "position of the aperture centre relative to the source centre. By default, all apertures\n", "are centred on the source." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:17.445183Z", "iopub.status.busy": "2024-11-11T06:13:17.444926Z", "iopub.status.idle": "2024-11-11T06:13:20.889143Z", "shell.execute_reply": "2024-11-11T06:13:20.888379Z", "shell.execute_reply.started": "2024-11-11T06:13:17.445140Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Specify off-centre rectangular photometry aperture\n", "#\n", "MyPhot = Photometry(MyTelescope, MySource, MyBackground)\n", "MyPhot.use_rectangular_aperture(\n", " width=4.5 * u.arcsec, length=3 * u.arcsec, center=[0.5, -1] * u.arcsec\n", ")\n", "#\n", "# Visualize the source through the aperture\n", "# (Recall that this extended source has a uniform surface brightness profile)\n", "#\n", "for band in MyTelescope.passbands:\n", " MyPhot.show_source_weights(passband=band, mark_source=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will plot the aperture mask, which shows the fraction of each pixel that is\n", "contained within the chosen aperture.\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:20.890385Z", "iopub.status.busy": "2024-11-11T06:13:20.890098Z", "iopub.status.idle": "2024-11-11T06:13:21.246703Z", "shell.execute_reply": "2024-11-11T06:13:21.245978Z", "shell.execute_reply.started": "2024-11-11T06:13:20.890357Z" } }, "outputs": [ { "data": { "image/png": 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vb7lkXJblutVqrVa2mKvBzJU3hULBWjotCELTqo9cLrfr8udO+tXq9RJFcdd2Y7FY02tgbjsQDoeNRCLRcjmxuSS+0yX1e7XZyffGZC5zxscrm1qtJJJlue59YX4fzFU3iUTC6k84HG55rd1ec3MrEPM90Pg6tHoPmMznaX5vzOXysiwblUplz7b36lur16v25ycYDLZdYt3ufZrL5QxRFI1wOFxXOqK2D+bPwW592+3nwFzNlkgkrPdIrWKx2LS1xG4KhYK1ksr8nje+TuZKMVEUjUQiYX0PalUqlbqfJ/Nx7VQqFSMcDlvbcNS+ZqZ2Pz+dnNvN4w4rc9XYb936q8bXin+9p9tv3fqrI7tqzGUYI5wqTjSiJElCMplEsVgcqaRSosNkY2MDbrcbv3Hrr+Ghk0d7auvu7W38j0/8J6yvr+PUqVMdn2f+HvH5fCgWiy1H2BvF4/G6UdtBj+CN8FgYERGR820brr7cumWW5jCnin0+X1NaRqPJyUlMTk5ClmVrsUHtzgODwECIiIiIumLmO9bmqpkrf9utmDRXBdcm4Jv14wa5JQoDIaIRk81mrQRT85cQETmXnRVjrW7dWF1dBVBfpsBcTNNueqxVaRRzar7f5Vi6wYKKRCPG3JSViA6HqnEE1R5XfVW7TBduFdSYX7fbnLp2BaK5mtU8tlfhzv3EESEiIiIH62bUZ/MecPu20XS7c6e7QKhd4OLxeNqWajCnxGpLeZgBVaeFO/fDyI4Imd+obvajqVar+N73voeTJ0/C5RrdcuRERLQ7wzBw+/ZtPProozhyZHjGHL6W+h6u//Pv9dxOu8ClXC63XYkqCAIKhQKi0SgmJyfrKtjvx16FnXJkIGRnuV42m63LTBcEAZVKpavrfu9738Njjz3WdX+JiGg0vffee/jMZz6zr9eoAh2v+vrJ+F/BuZ/94abjf3lnG//r07c6vqYZuNRuu2R+3bghd+N5tRsex+PxpqKhB81xgZAkSVBV1ao+m0wmEQqF2u6ubUqlUnWPsVM75eTJkwCAp/C38AAebPu40s8+uWs7T49/iDdKD3d9/WFs4wGXgXOfuoPX3n8E920sv+xnX4aljX60c9he12HpyzC9rv1qZxja6Nfr2o++HGQb47/2rbb33cdH+Dr+nfW5sZ+qOIJqh5kuR48dwdFjrdq439U1zWBndXW1LojRNG3PJfSmxqryg+KoQMhcrldbzt3ctXy3bQbMTSl7jTjN6bAH8CAecLUPhI4eO7FrO8ePb+/5mL0MSxtHXQZOnLiPo8dOwOjhF+CwPJ9+tNGPdg7b6zosfRmm17Vf7QxDG/16XfvRl4NsY7fPAXyccnNY0ygEQUAikUAqlbI+W9PpNPx+v7UYQ1VVpFKplrM2qqoiEAggk8kMfINcRwVCey3Xa/dimqNI6XQawWAQqVSK1XSJiOhQ6MdeYXbOl2UZyWQSkiRhfHwcxWKxbiNrcy/FWqqqYnFxEZqmoVAoDMVnsaMCITvL9QAgk8lY02npdBo+nw+FQsF2ctbRY0dw1NX8pqluGzC29868X7u7y18RHRqWNvplWJ5Pv16TYXltD9trcphe1361Myxt9MuwPJ9O23AddeHI0eZRH8M4Amz13I2OVOFCFb2NPNk939x8uJV2pTp62VJjeXkZmUwGV69eBbCz+a7P58PZs2dtt+moQGi35Xq7BUKiKEIURYTDYUiShFAohGg0Wpew1Y3pf/gjOHGiecj03d95H+/+7vt7nr92t8UEbZeGpY1+GZbn06/XZFhe28P2mhym17Vf7QxLG/0yLM+n0zYee+oH8dkvfarp+ObmJvKXe+7GodPL6rCFhQXE43G4XC4rEIpGo3juuecAwHYw5KhAyM5yvUaiKEKW5Z72Nln5pT9tOTdc7WA0iIiIDo/3vv4X+M+/90HT8fvGRwfWh0FNjR20ZDKJXC7XlFwdj8cxMzODt956y1a7w//Ma9Qu16ul63pX84y91ivY3qq2vHUyLXbYVA3gzdvHUB29p76v+LruD76u+2OUX1dj22j7mXBQBrHFxiBMTEwgEAg0Hdc0bddZob0M/zOvUbtcr1Y3y/XMxw86S/2wqMKFN+8c73l+murxdd0ffF33B19XOggejwdA/Uq8W7duIRaL9TTA4aipMTvL9cwM9bm5OSvJut1yvk6VfvbJXZdVFn7hqu22iYjIGSZxse1921ubwK/92wPpR9VwoWqjbMEb/+bP8B9+8z/vtOGA4TxZlvHMM89gbW3NGgUyc30XFhZst+uoQAiwt1xPURSk02nEYjGMj49jYWGhq601iIiIhlXV5tTWF//uZ/HFv/tZAMDmnft4Yfp3+921vnK73bhx4wby+TxUVYXX60UsFsPMzAzcbrftdh0XCAHdLddrLOdNRER0mPRn9/nhz5S5fv06BEFAIBBomStk1/A/cyIiIhp5Fy5csOoJ9pMjR4QG7enxD3H8+DaAnaJbw1SDg4iIBsP70Ba8D+0sm793bxPfPqDrbsOF7R4T1Xs9/yDIsty2jM7169fx7LPP2mqXgZANb5Qe7ss+Q0REdHis3T1m/WG8vXX0wK47KlNjhUIByWQSoig25fkqisJAiIiIiA63UqkEt9sNw/hklVu5XG6qL9gNBkJEREQOto3ep7a2+9OVfRWPxyFJErxeb9N9r7zyiu12GQgRERE52KhMjU1MTLQ8fuXKlZ5K4jAQIiIiGkH/8Tffwe//5ncBOKOg4vj4eMvjuq4jGAziwoULttplIERERORgdjddnf5pEdM/vbNP5+adjzD/X/92v7vWV2NjYwiHw00BUS6X62kjdQZCREREDmbA1fM+b4YDls9nMpmW02PhcBjpdNp2u8M/KUhEREQjr12OkMfj6SkQ4oiQDSyoSEREjQZWUNHm1FhjG8Nubm6u6Ziu61AUxdqZ3g4GQjawoCIRETUaXEFFe7vPN7Yx7GRZhiiKTcdFUYQsy7bbZSBERETkYNs2d59vbGPYZTIZnD9/vu/tDv8zJyIiopEXCoVaHl9bW8PGxobtdhkIEREROZg5NdbrbdjNz8+3PO71ehGNRm23y6kxIiIiB6viCKo9jmv0ev5+eumll1Aul6EoSsv7VVVte18nGAgRERGNoJu/9RZuLRUBAMYQV5aOxWIIBALQNA2VSqXpfkEQsLS0ZLt9BkJEREQOtm24sG1jautvzH4ef2P28wCAe3c+wtX/5nq/u9YXbrcb+XweiqIwWZqIiIjqjUKOkNvthsvlwvLyct/bZiBkw9PjH+LsD+zcvA9tDbo7REQ0BLwPbVmfDU+Pfzjo7hw6Fy5cgKqqfW+XU2M2sKAiERE1GlRBRcM4gmqPlaENB1SWlmUZPp+v5X3Xr1/Hs88+a6tdBkJEREQOtg0XtnvcNLXX8w9CoVBAMpmEKIoQBKHuPkVRGAgRERHR4VYqleB2u2EYn6xyK5fL0HXddpsMhIiIiBysavS+V9gQr563xONxSJIEr9fbdN8rr7xiu93hnxQkIiKitqof5wj1eht2ExMTWFtbw8/93M9ZxxYWFrC8vNzTsvrhf+ZERETUVhWuvtyG3cLCAoLBIFKplHUsGo1iaWkJr7/+uu12OTVGREQ0gv546U38SfZNAMNdWdqUTCaRy+WQy+XqjsfjcczMzOCtt96y1S4DIRueHv8Qx49vAwDW7j5oLZckIqLR5X1oC96HPgIA3Lu3iW8f0HXtVpb+kciP4kciPwoA2Lqzhd84+xv97lpfTUxMIBAINAVCmqZB0zTb7TIQsoF1hIiIqNGg6gj1I8fHCTlCHo8HAOByfRL03bp1C7FYDH6/33a7DISIiIho6MmyjGeeecYaAdI0DYVCAcBO/pBdDISIiIgcrIre9wpzQrK02+3GjRs3kM/noaoqvF4vYrEYZmZm4Ha7bbfryEAomUyiWCzC5/OhWCzWZZD38xwiIqJhZ/Rh1Zdh83w7n62SJAEAdF1HuVyGLMsQRbGj6926dQvZbBaapkEQBDz++OM9BUGAA5fPS5KEXC6HVCqFRCIBn8+HUCjU93OIiIioPTufrZFIBD6fD7IsI5VKIRQKIRKJdHS9hYUF+P1+LC4uwjAMGIaBa9eu4cyZM9jY2LD9PBwVCOm6jmQyiXg8bh2LxWJQFAWKovTtHCIiIqeoGq6+3Lph97M1m81aSc8AMDU11fGO8pIkIRaLoVwu48aNG1haWsLq6ioWFxetUSY7HBUIra6uAgCCwaB1TBAEiKLYdjjOzjlEREROMYjK0nY/W/1+PyRJsvYGS6VSiMViHV3T4/EgmUy2bLOX6TFHBUJm1Ni466wgCG1rCNg5Zy8PuIyWtyMY/oJURETUP0fQ+vPgAddwfh5sb23jow+3Wt66YfezNZPJoFwuw+v1Ih6Pw+fzdTwoIUmSFYA1Wl9fr/v64sWLHbUJOCxZulgstjzu8XjavvB2ztnLuU/dwYkT95uOv3n7GN68c9xWm0RE5Dyff2QLXzjZHERsbm7i5gH1oZuprT/+9Zv4k39R6Pmadj9bRVFEPp/H5OQk0ul0x6NBAFAoFJBMJuH3++um1zRNQ7lcxsWLF1Eul6FpGqampjpu11GBkM/na3m8XC63zTi3c85eXnv/kZYFFR1QoZyIiProO3eO4e0Pm3cX2N46uI/XbvYK+/zfm8TjP/1E0/GPPtzCb//Uv+74mnY/W1VVRTQaRaVSwfz8PJLJJMrlMjKZzJ7XLJfLKJVKKBaLLQOxlZUVADjcgZBZOVLX9brhOF3X2z5pO+fs5b7hgtFjzQYiInK+nRo+zcftbHlhuw9djAi5HnwARx9s/ujvNlna7mdrIBDAwsICBEGALMvw+XyIx+NQVXXP6tDxeByyLMPr9e76OF3Xcfny5Y6fi6NyhMwXt3GOUNO0tkv27JxDRERE7dn9bNV1vW7EyJwa6yRVJRAItA2ClpeXrf8LgnB4AyFBEJBIJOoSq9LpNPx+P8LhMICdYbfa5XydnENERORUg1g+b+fzGNhZZba4uGh9bY4o1a4+61Y+n++4FlErjpoaA3b2Gkkmk5AkCePj4ygWi8jn89b9mqY11TDY6xwiIiKnshPItGqjW3Y+jzOZDKLRqHXOysoK8vl80+qzTrz88suQZbmnnecBwGUYBlN8O7SxsQG3242//rP/dNfd5wu/cPUAe0VERIMw+Qvtl2hvb23i27/2j7C+vo5Tp07ty/XNz6Rz/z6GBx9uTtjuxkcfbuG1/y69r/3th42NDaTTaczPz0PXdRiGYRVZXFpastWm40aEiIiI6BODGhE6SO+88w5kWUY6nYZhGPD7/XC5XNZKsbW1NdttOypHiIiIiOoZ+GQJvd3bsE4N5fN5nDt3ziq8eP78eRQKBayurtYlTu+1kmw3HBGy4enxD3H8+DYAYO3ug1i729uQJBEROZ/3oS14H/oIAHDv3ia+PeD+HAaqqqJYLMLr9UJRFJw+fdq6z+XqzygWAyEb3ig9vGuOEBERjZ61u8esP4y3t44e2HXtTo29++of4L2v/iEAwBjSisCXLl3CpUuXkM/nkUgkMD4+jng8jieeeKJv12AgRERE5GB2A6HP/J0n8Jm/8wQA4P6H9/A7//3wLvQJBAIIBAJYW1uzVopVKhXr/lu3btkOjhgIERERkSN4vV5cu3YNwE7dounpaQSDQaiqitdee81Wm0yWJiIicrBBFFQcBrFYDCsrK5icnLRWj9nBESEiIiIHG4Xl87sJh8MYGxuzfT4DISIiIgcz+rARuNM3Eg8EArbP5dQYERERjSyOCNnAOkJERNRoUHWEzKKIvbYxqhgI2cA6QkRE1MhpdYQa2xhVnBojIiKikcURISIiIgezmyz9519T8f2v3dxpo1rtd7f2xdzcHObn55uOb2xsYH5+Hj6fDzMzMzh16lTHbTIQIiIicjC7U2M/9Lcn8UN/exLATmXp1Wd/uc89679cLgdd1wEAkiRZe49Fo1GEQiFcuHChbbDUDqfGiIiIaOg999xzUFUVuVwOhmEgEolgY2MDAJDJZCCKIgBgZmYGV65c6bhdBkJEREQOZk6N9XobdqurqygUCnj77bdx7do1LC0tQVEUrK+vAwA8Hg8AYGJiAouLix23y6kxIiIiBzP6sGrMCYHQ7OwsJiYmrK/X1tZQLpetrwVBAACsr69D07SO22UgRERERI5w7tw5iKKI1dVVaJqGubk5pNPpuscoimJNk3WCgZANLKhIRESNBlVQ0QBgGL23MewuXboEr9eLdDqNsbExLC0tIRAI4IUXXoAsy8hkMsjlcigUCpibm+u4XQZCNrCgIhERNRpYQUW44BqRytLhcBjhcLju2OXLl63/+/1+qKqK559/vuM2mSxNRETkYKOSLL0bc5VYIBDApUuXujqXgRARERENveXlZZw5cwZHjx5tukmSZLtdTo0RERE5WNVwwWVjROeD/3cVH/x/qwCcUVk6HA5jamoKiUTCWioPAKVSqSlhuhsMhIiIiBzMMOwlS4//5BTGf3IKALB99x7+aPalPvesvzweD27cuNHyvlAoZLtdTo0RERHR0JNlGcvLyy3vW1tbs90uR4SIiIgcrB/Jzk5Ils7lcsjn8y1rBK2urqJUKtlql4GQDawjREREjQZWR2hEAqFyuQy32w3DMKwq0gCg6zqMHgopMRCygXWEiIio0aDqCI2KeDyOQCDQ8r58Pm+7XQZCREREDmZ31VhjG8OuXRC01317GclkaV3Xoev6oLtBRETUM3PVWK83J3v55Zdtn+u4QCiZTCIej1v/diKbzcLlclk3r9dbN79IREREw2d6etqqGj01NdWymOLRo0c7jgdacdTUmCRJUFUVuVwOwE5QFAqFrK/bSaVSdY/pZldaIiKiYbYzotP91Fbl338LlX//rZ02hrSgYiAQgN/vBwDMzMxAFEVMT0/XDWZUKhUsLS3ZvoZjAiFd15FMJpHJZKxjsVgMkiRBURQEg8GW5ymKAlEU295PRETkZHZXjQl/88ch/M0fBwBs393E239vvt9d61nthqrxeByRSARer7fpcSNRUHF1dacMeG1AIwgCRFFEKpVqe54kSUin03C5XAiFQtA0bd/7SkREdFCMPt2Gndvtxvr6Oi5evIhz585hdnYWv/qrvwoAmJiYsN2uYwIhVVUBoCm3RxCEXYObTCaDTCaDWCwGRVHg8/mstux6wGW0vB1xxFuJiIj65Qhafx484OLnQb8tLCxgcnISi4uLMAwDhmHg6tWrOHPmDDY2Nmy365ipsWKx2PK4x+PZNRASRRGiKCIcDkOSJIRCIUSjURQKBdt9OfepOzhx4n7T8TdvH8Obd47bbpeIiJzl849s4Qsnt5qOb25u4uYB9WFUCipKkoRoNIpr167VHVdVFZIk4erVq7baHVgglM1msbi4uOfj5ubm4Pf74fP5Wt5fLpc7Tn4WRRGyLCMSiXTV10avvf9Iy4KKVf4BQEQ0Ur5z5xje/rB5d4HtrQP8eO3H3JbN85PJJIrFInw+H4rF4q6pKgAwNjbWsnxNJpNBOBze9VyPx4NkMtl03O/3w+12d9XvWgMLhMLh8J5PupaZNa7relNp7ampqa7b6cX9PkTfRETkfFW4Wv4RvD0CnxHdruRWFAUzMzOIRCLweDwAdgYzQqFQR/GAJElYXV3F2bNnm+5bX1+v+/rixYsdjxA5ZmrMDHZWV1frEqY1TesqW1zTNK4gIyKiw6Mff5x3eb6dldwej6dpxGi3Vd+NCoUCkskk/H6/FUgBO5/r5XIZFy9eRLlchqZpXQ2QOCZZWhAEJBKJuhcxnU7D7/dbkaSqqnVFlcx5w9phuFQqtefQHRERkVMMorK0nZXcrWZkUqlUx8UQy+UySqUSisUiVlZWrFupVIJhGFhZWUGxWGybU9yOY0aEAECWZSSTSUiShPHxcRSLxbqN1jRNg6IodecoioJ0Oo1YLIbx8XEsLCywqjQREY0k46P7MD5qXuxT/ct7XbVjdyV3I0VRsLCw0NFj4/E4ZFluWUeolq7rdfWH9uKoQAgAEolE2/sa8478fn9Pq8OIiIiGXTerxsqvvgH9ldd7vqbdldy1FEXB1NRUx4MTgUAAt27dwsWLF6FpGgRBwDPPPIMvf/nLdY8TBOFwB0JERERUw3B1nOMz9j98CcLfeqrpePUv7+Hd/6l5RVY7/VjJnUqlulrFvbCwgHg8DkEQMDU1ZdURunz5MgqFAk6dOtVxW7UYCBEREY0I14MPwPVg7x/9/VjJ3c20GLCzaiwWix2eOkJO9vT4hzh+fBsAsHb3Qazdba4hQUREo8X70Ba8D30EALh3bxPfPqDr2kl2btVGN3pdyZ3NZruaFgP2r46QY1aNDZM3Sg9j+YOdG4MgIiICgLW7x6zPhjdKDx/chQew2Zidldy1FhcXuy5ubNYRaqVVHaFOcUSIiIjIwQa1xYadldymbDbb1bQYsH91hBgIERERkS3drOSuZdiYy6utI9Rq1drKygoA7F8gdOTIEbhc3UWMqVQKFy5c6OocIiIi6tII7HXZro7Q+vo6XC6XtWps3+oIBYNByLLcccOapqFSqXT8eCIiIureqOw+HwgEAAAbGxt1x9fW1hCNRq0RoX2rIxSJRDAxMdFxwxMTE13P/xERERG1ks/nEYlEmhKjAexZbXo3XY0IdYubmxIREe0zG6u+AOC28nu4nf+PO01Uq/3t0z6QZRkLCwtwu93IZrOIx+MolUpQFAUvvvii7XY7DoQao60rV64gHA7j9OnTAHYitfHxcTzxxBNtzzksWEeIiIgaDaqOEOD6+Nadk8GfwMngTwAAqn+5ifee+4X+dqvPQqEQzp8/DwC4efOmNUs1PT2NaDSKxcVFW+3aqiM0MzODRCJRt59IIBDAtWvXsLy8bKsjTsI6QkRE1GhgdYRGRLFYxKuvvoqNjQ2Ew2HMzs7i9u3bWFpaartMvxO2l89XWwyjRSIRSJJkJSwRERHRPrM5NdbUxpCLxWIIBoOIx+OYn5/H5OQk3G43XC5X22X6nbAVCE1PT7c8rmkaVFW13RkiIiLq0ogEQn6/H+Vy2fo6kUggGAyiUqlYK8rssD0itLy8jLNnz1pf37p1Cy+88AITpImIiOhAmJu/9sJWjtClS5dw7do1nDlzBufOncOZM2fg9/thGEbdviNERES0zwxXf24OduXKFdvn2h4RWlpaQj6fh6qqKJVK8Pl8iEajtjtCRERE3RvE7vMH4ebNm11tlfH888/buk5PU2PZbBZXr14FACwsLDRNlxEREdE+O6Q5QhMTE5iYmEA8Hq/bZLVRqVRCOp22fR1bgdDCwgLi8ThcLpcVCEWjUTz33HMAwGCIiIiIerawsNDRrhbtFnF1wlYglEwmkcvlkMvl6o7H43HMzMzgrbfest0hJ2BBRSIiajSwgoo2c3xuv/5N3H79mztNDGll6dog6Pr16xAEoeVgSzdbgDWyFQhNTEwgEAg0BUKaptUVWTys3ig9jKPHTgy6G0RENETW7h6z/jDe3jp6YNd1GTu3bp360k/g1JdqKkv/g/+jzz3rrwsXLuDFF1/s+6yTrVVj5lydy/VJBHrr1i3EYrG+LGUjIiIiqiXLctsY4/r167bbtTUiJMsynnnmGaytrVmjQIVCAQC44zwREdFBOqTJ0o0KhQKSySREUYQgCHX3KYqCZ5991la7tgIht9uNGzduWMvnvV4vYrEYZmZm4Ha7bXWEiIiIbOhHHSCH1BEqlUpwu90watb7l8tl6Lpuu01bgdA777wDXdcxPT2NQCCAmzdv4vLly1BVFbIs49SpU7Y7RERERNQoHo9DkiR4vd6m+1555RXb7drKEQoGg1hdXcWpU6ewtraGYDAITdMgiiIkSbLdGSIiIuqS0afbkJuYmMDa2hp+7ud+zjpm1jA8f/687XZtBUKSJOHChQsAdiI0AMjn87h06RKTpYmIiA7SiARCCwsLCAaDdVt5RaNRLC0t4fXXX7fdrq2pMXOJ/MLCAhRFQTqdtqbDRmH5PBERER2s/aphaCsQmpqagsfjga7rSCQSuHDhAtbW1pBKpZDP5zE/P2+rM07BgopERNRocAUVMRKrxvarhqGtQOj8+fNN83Hj4+OIx+PWVNlhxoKKRETUaFAFFW1Xlv7db+D2f/jGThNDWlm61n7VMLS96eqVK1cQDodx+vRpAMDKygrGx8fxxBNP2O4MERERdcd2Zemnv4hTT38RwE5l6XcT/7jPPeuv/aphaCtZemZmBolEom4oKhAI4Nq1a1heXrbdmU6pqorJycmOH59MJhGPx61/iYiIyFnMGobXrl3D1NQUAoEAUqkUKpVKT4MwtkeEqi2G0SKRCCRJwsrKiu0O7SWdTkOW5Y7nAyVJgqqq1pxiMplEKBRqmmMkIiJypBHJEbpy5Qqef/55BAIBBAKBvrVra0So3Xb3mqZBVdWeOrSXWCzW8aiOrutNo0CxWAyKokBRlP3qIhEREfXZtWvXMDs7iytXrmBjY6Nv7doKhAA0TYHdunULL7zwAoLBYM+d6pfV1VUAqOuTIAgQRbGuDgERERENt1wuh8XFRZw/fx5f+cpXcPHixZ42WzXZCoQuXbqEa9eu4cyZMzh37hzOnDmDyclJGIYxVAGGOTrVuDmbIAi9LbVzGS1vR5wwtkhERH1zBK0/Dx6wk71skwufJEzbvh1Yb+0zt9bwer24fPkyEokEvvKVr2B8fBxzc3O227WdI7S0tGRtuloqleDz+RCNRm13ZD8Ui8WWxz0eT0+B0LlP3cGJE/ebjr95+xjevHPcdrtEROQsn39kC184udV0fHNzEzcPqhMjsunqO++8g9OnT+P69etIpVJQFAVerxcvvPACYrGY7XZtBULXr1+HIAg9JSxls1ksLi7u+bi5uTnb9QF8Pl/L4+VyGaIo2moTAF57/5GWdYSqHBAiIhop37lzDG9/2FxUd3vL9jgDtTE5OQld12EYBsLhMG7cuNGXpGlb36kLFy7gxRdfxNmzZ21fOBwOIxwO2z6/E2YApet63fSYruuYmpqy3e59wwXDAdEzERHtrypcLf8I3j7Iz4gRWTVWqVSQSCQwNzcHt9vdt3ZtBUKyLLcdbbl+/TqeffbZnjrVL2aws7q6WpcwrWkaQqHQoLpFRETUPzYDoY2vfx0b3/jmThMOqCydy+X6umzeZCsQKhQKSCaTEEWxKRFZUZSBBUKqqiKVSlkJ24IgIJFIIJVKWYFQOp2G3+/f99EoIiKiYXbqqadw6qmnAADVzU1898V/NOAe7S4QCODWrVvQNA2iKPZtJwvbk5ilUglutxuG8UkYWi6Xoet6P/rVlqIoVqCTTqcRDAatfB9N05rqA8myjGQyCUmSMD4+jmKxiHw+v699JCIiOih2t9hobGOYXblyBZIkNR2XJAlf+cpXemrbViAUj8chSZK1lM20vr6Or371qz11aC/BYLDtarB2eUeJRGJf+0RERDQwDs8RMgdQGmeYTLOzs8hkMvD7/RBFEaIoQtd1rKys4PLly1BVFb/9279t+/q2AqGJiQkAaKrsuLa2hl/5lV/Bz/zMz9juEBEREXVhgIFQMplEsViEz+dDsVjsqpagJEnQNA2zs7Nt01VeeeUVFAoFFAoFK/aopWkaZmZm8Oqrr+KnfuqnbD0HWwUV8/k8PB4PxsbG6m7m0jYiIiI63CRJQi6XQyqVQiKRgM/n62ghkqqqGBsbg8/nQyaT2TVnd2lpqW0QBACiKEJRFPzWb/2W7edhe9XYwsIC3G43stks4vE4SqUSFEXBiy++aLszTvH0+Ic4fnwbALB290Gs3W2uIUFERKPF+9AWvA99BAC4d28T3z6g6w4iR8jcyzOTyVjHYrEYJEmCoihtt9vSNA2Tk5OQZbmjIohjY2N7LpUXBAFjY2PdPYEatgKhUCiE8+fPAwBu3rxpRWrT09OIRqMdFUp0sjdKD7csqEhERKNr7e4x6w/j7a2jB3fhAVSW3msvz3aBUDwet1Z0d8Ll6qxfnT6uFVtTY8ViEa+++io2NjYQDocxOzuL27dvY2lpibu6ExERHXJ29vI0V3aLoohIJAKfzwefz4dsNtv2OqVSac+d5tfX11Eqlbp7AjVsBUKxWAxf/vKXMT8/D6/Xi8nJSbjdbjz33HNDtfs8ERHRoWd0fjM+uo/qX262vHVjt7082+UKm8FTPB5HJpNBsVhEPB5HJBJpO4gSDAYRCARw+/btlvdvbGxgZmYGP/3TP91V/2vZmhrz+/0ol8vW14lEAsFgEJVKZV+qPhIREVFr3eQIlV9XUMnf6PmadvbyNOOGmZkZ61gikcD8/DwymUzLgZRYLIZMJgNBEKy6geYKtdXVVaiqimAw2FMh577tCmd3Y1QiIiI6GJ4vBTH21JeajlfvbeKdy/+k43bs7OVpBkjlcrnuHFEU206nATtba0iShJdeeqnpvkQigcuXL3fc71Y6nhp7+eWXu27czjlERETUhS6mxlxHH8CR4yeab10uAKrdy7PWbnt5mueYU2S19hpMkWUZlUrFWq6fy+VQqVR6DoKALgIhO/WBarffICIion1gfDI9ZvfWbUHF2r08TY17eaqqing83nTO/Py8dUzXdWiahrm5uT2v6Xa7EQgEEI1GEQgE+rYDfcdTY1/5yleQy+U6bljTtJb7ghwGrCNERESNBlVHaFD22stzt/0/I5EIpqenrXPaba9xEDoOhDopfFRrYmKi7Tyh07GOEBERNRpcHSEMbIuN3eoBOWX/z44DoX7MwxEREVGfOXzT1UHr26oxIiIiOniD2GLjMLFVUJGIiIhoWFy5csX2uRwRIiIiGkH6738d+re+AQAwqtUB96bZzZs3u8o1fv75521dh4EQERGRk9nMERKefArCk08BALY3N1Gcf7G//erRxMQEJiYmEI/H4fF42j6uVCohnU7bvo6tQGhqagrj4+OIRCKYmprCE088YbsDRERERK0sLCxgYmJiz8dNT0/bvoatHKG5uTm89tpruHDhAtxuNxYWFvDOO+/Y7gQRERHZ02sxxX4kW++XxiBoeXkZFy9etL5eWFjA8vJyR8FSO7ZGhM6fP2/93+v1YnZ21qoUWVsx8rBiQUUiImo00IKKQxrI9NPCwgLi8ThcLheuXr0KAIhGo3juuecAAGfPnrXVru0coeXlZWQyGSiKAk3T4Ha7MTU1hYsXL0KSJJw+fdpu00OPBRWJiKjRwAoqjohkMolcLte0y0U8HsfMzAzeeustW+3aCoQef/xxrK2tIRAIIJFIIBgMwuv1Wvfn83nous7cISIiov02IgUVJyYmEAgEmgIhTdN23b1+L7YCIb/fj0Kh0HbDs0AggOXlZdy6dYvBEBER0T4alYKK5soxl8tlHbt16xZisdieu9fvxlYgNDc3t+eur4VCAaurq1hcXLTVMSIiIiKTLMt45plnsLa2Zo0CFQoFADv5Q3bZCoQ6yc5ut9kaERER9dGITI253W7cuHED+XweqqrC6/UiFothZmZmz8GZ3exbQcXanCEiIiLaH3anxsqrX0elMLyVpdsJBAIIBAJ1x15++WVcuHDBVnvca4yIiMjJDHs3z+RT8MUk+GISvD/7vw2k692Ym5trefyll15CPB633S632CAiIqKhl0qlAHxSr3B5eRnxeBzFYhGiKNpul4GQDSyoSEREjQZWUHFEcoQKhQJ0Xce5c+cgCAKy2SwCgQBu3Lix615ke2EgZAMLKhIRUaNBFVQcleXzZo3CXC4HURQxMTGBbDaLU6dO9dTuSAZCuq4DAARBGGg/iIiIqDOxWAwulwuyLOPSpUtYX19HIpHA448/Dr/fb3uLDUcmS6uqisnJyY4fn81m4XK5rJvX62UQREREh4PNZOmm25Dz+/14++23cenSJQA7y+mvXbuGJ554ApFIxHa7jhsRSqfTkGW5q3LaqVSqriR3L0lVREREQ2VEcoQWFhZaluYJBoNYWlqy3a7jAqFYLAZd1yFJUkePVxQFoigiGAzuc8+IiIhov+xWzLmxrlA3HDk11g1JkpBOp+FyuRAKhXramI2IiGjYmMnSvd6c7OWXX7Z9ruNGhLqVyWSgqipyuRzS6TR8Ph8KhUJvG7S5DBxt8a6pGkAVrhZnEBHRYXQEBo60+LXvOsjIwubUWOnm11G5+XFlaWM4K0tPT09jdnYWzz//PKampnDz5s22j7VbWfrQB0KiKEIURYTDYUiShFAohGg0am3UZse5T93BiRP3m46/efsY3rxzvJfuEhGRg3z+kS184eRW0/HNzU20/8geDuMTT2F84ikAwPa9Tbz5z18ccI+aBQIBa+BiZmYGoihienq6bsFTpVJxZo5QNpvtaGf6ubm5nkZvaomiCFmWe8ouB4DX3n+kZR2hqsOHFomIqDvfuXMMb3/YXFR3e+vgPl4Pcx2hy5cvW/9/7rnnUCqVWiZMh0Ih29cYWCA0qN3p+xFU3TdcMAxOgRERjboqXC3/CN4+yM+IQ75q7MqVK5ifn4fP50M8HseXv/zlpsfslki9l0OfLN1I0zSuICMiosPjENcReuWVV5BIJGAYBt5++23EYjG8/vrrfb3GoQqEVFWt24FWVVVIkmRVkgZ2agqZG7cRERHR8DI/s8vlMsrlMq5evVo3XdYPjguEFEWxApl0Ol23HF7TNCiK0vR4r9cLSZKQTCaxsLDAgopERHRouPp0G1bRaNT6fywWQ6lU6mv7jls1FgwGUSwWW97XmHfk9/t7Wh1GREQ09A5xjtDY2FjTsVaDGdevX8ezzz5r6xqOC4SIiIhoNGiahldffRWG8Umktra21nRsfn6egRAREdEoOszL5wuFQtMKc8Mw6o4ZhgGXy/7kHgMhG54e/xDHj28DANbuPoi1u801JIiIaLR4H9qC96GPAAD37m3i2wd1YZtTYx/8wddR+sPhrizt9/sxNze362MMw+gpgZqBkA1vlB5uWVCRiIhG19rdY9YfxttbRwfcm739wI89hR/4sU8qS/9RavgqS8uy3NGGqq1yiTrFQIiIiMjphnRqq1ed7irfy+7zDISIiIgc7DDnCB0Ex9URIiIiosND1/W6wscHjSNCRERETjbAOkLJZBLFYhE+nw/FYrGjnRuy2Wzd5ueCIKBSqbR87MbGBk6dOmWvcx1iIERERORgg5oakyQJqqoil8sB2AmKQqGQ9XU7qVSq7jG77fYQCAQgyzLOnj27b0ERp8aIiIicbACbruq6jmQyWbe/ZywWg6IoTVtd1VIUBaIoIhgMWrfdAqHJyUmcPXsWwE7RxHbeeeed7p5ADQZCRERE1JXV1VUAO9temQRBgCiKu06PSZKEdDoNl8uFUChUt19oKz6fD9/97nexsbEBXddx+/ZtbGxsNN1kWbb9XDg1ZgMLKhIRUaNBFVTsZmqsun0fxvb95uNbm11dU1VVADvBTy1BEHYNbjKZjDWdlk6n4fP5UCgU4Pf7Wz4+HA5jYmIC6+vrAHY2W2/n6tWrXT0HEwMhG1hQkYiIGg2soGIXU1v/RVXw/cKNni/ZbvNzj8ezayAkiiJEUUQ4HIYkSQiFQohGo203SPd6vSiXy1BVFZcvX66bijNVKpVdA6S9MBAiIiIaET80EcSn/saXmo5vb23ij/7NP+m4HZ/P1/J4uVzeNeenliiKkGW5bgVZO36/H7Ozs20LJ7brTycYCBERETlZFyNCR448ABxp8dHfZbK0OZWl63rd9Jiu65iamuq6nU6cP38eGxsbmJ+fh6qqEAQBTz75JH7+538eExMTHbfTiMnSREREDmbmCPV664YZ7JhJ0yZN0xAKhTpuR9O0uoTr3aytreH06dOQZRmlUgmVSgVXr17FmTNnsLGx0XnnGzAQIiIioq4IgoBEIlG3QiydTsPv9yMcDgPYSaiuzelRVRWSJNVVkU6lUh0VYQR2VpzNzc2hWq1idXUVN27cwNtvv43XXntt16X1e+HUGBERkZMNqLK0LMtIJpOQJAnj4+MoFovI5/PW/ZqmNdUUUhQF6XQasVgM4+PjWFhYaFp51o7H48GlS5eajouiiPHx8e6fwMcYCBERETmYyzDgMnqLhOyen0gk2t4XDoet0SFgJx+o3eqwTjz++ONt71tZWbHdLqfGbHh6/EOc/YGdm/ehrUF3h4iIhoD3oS3rs+Hp8Q8H3Z1D54MPPsDLL79sfb2xsYHr169jenq645VqrXBEyAbWESIiokZOqCO0axtD7vLly3jmmWfq8o4Mw0AoFGKOEBER0aga1Karg3Djxg0oioKbN28C2Nnio5el8wADISIiImezOSL0/p98He+/+c2dJoxqf/u0j8zNWvuFgRAREdEI+tSPPoVP/ehTAHYqS9/8jX804B4NBgMhIiIiBxulqbH9wECIiIjIyUYkWXq/cPk8EREROdqVK1dsn8tAiIiIyMEGsdfYICwvL+PMmTM4evRo002SJNvtcmrMhqfHP8Tx49sAgLW7D1p1I4iIaHR5H9qC96GPAAD37m3i2wd14RGZGguHw5iamkIikYDH47GOl0olpNNp2+0yELKBBRWJiKjRwAoqjgiPx4MbN260vK+bHe8bcWqMiIjI4Q77tBiws8nr8vJyy/vW1tZst+u4EaF4PI6lpSUAQCwWgyzLe56TTCZRLBbh8/lQLBaRSqX2u5tEREQHwzB2br22MeRyuRzy+XzLfcVWV1dRKpVsteuoQCgSiSAUCiESiSCTySCZTELX9V0DG0mSoKoqcrkcgJ2gKBQKWV8TERE5md1Rne9/5xv4L299A4AzKkuXy2W43W4YhgFBEKzjuq7D6CGQc0wgpCgK4vG4VVY7GAyiXC4jnU63DYR0XUcymUQmk7GOxWIxSJIERVH6WqKbiIjIST79+S/i05//IgDg/kebWM3+4wH3aHfxeByBQKDlffl83na7jskRmpqaagpcpqendz1ndXUVAOrOEwQBoihyeoyIiA4Ho0+3IRcIBLCxsYG5uTmcO3cOs7Oz+MVf/EXrPrscEwjVDoOZisUiwuFw23NUVW15riAI0DTNdl8ecBktb0ec8E4iIqK+OYLWnwcPHGAGsqvan9uwW1tbw+nTpyHLMkqlEiqVCq5evYozZ85gY2PDdruOmRprRVEUFAqFtvcXi8WWxz0eT0+B0LlP3cGJE/ebjr95+xjevHPcdrtEROQsn39kC184udV0fHNzEzcH0J/DTJIkzM3N4dKlS3XHNU3D/Pw85ufnbbU7sEAom81icXFxz8fNzc3B7/c3HZckCalUquVIkcnn87U8Xi6XW2add+q19x9pWUeoygEhIqKR8p07x/D2h81Fdbe3DvDjdUQKKno8nqYgCABEUcT4+LjtdgcWCIXD4V2ntXaTzWYxPT29Z7KzGUDput6UYT41NWXr2gBw33DBMFy2zyciosOhClfLP4K3D/AzYlR2n3/88cfb3reysmK7XcfkCJkURQGAuiBK1/WWjzWDHTNp2qRpWk9VKImIiOhgffDBB3j55Zetrzc2NnD9+nVMT0/3NMvjqEBIURRkMhmIoghVVaGqKrLZrLXHiKqqiMfj1uMFQUAikahbIZZOp+H3+22PRhEREQ0Vs6Bir7chd/nyZSwtLVkbrY6NjSEcDsPj8djODwIclCytqqo1itO4uZqZFK1pmjViZJJlGclkEpIkYXx8HMVisad6A0RERMPE7tTYnxe/gT/XvgnAGQUVAeDGjRtQFAU3b+6kogeDQUxMTPTUpmMCIb/fv2flyHZ5R4lEYr+6RURE5Eg/7Psiftj3SUHF3/9//vcB96gzwWCwrwWRHTU1RkRERA1GpKDibmpzh7rFQIiIiMjBet15fph3oJ+ensaVK1cA7CyAMvODGm+1+cHdcszU2DB5evxDHD++DQBYu/sg1u4215AgIqLR4n1oC96HPgIA3Lu3iW8f1IUP8e7zgUDAKoUzMzMDURQxPT1dVxKnUqlgaWnJ9jUYCNnwRunhlgUViYhodK3dPWb9Yby9dXTAvTkcLl++bP0/Ho8jEonA6/U2Pa6XkjgMhIiIiBxsVAoqulyulkHQ2tpa250kOsEcISIiIicbkWTpdrWCvF4votGo7XY5IkRERERD66WXXkK5XG6qE2hSVbXtfZ1gIERERORgh31qLBaLIRAIQNM0VCqVpvsFQWCyNBER0ciqGmi58+sevvfON/G9d38PwHBXlna73cjn81AUBefPn+97+8wRIiIiGkGPnv4JTD3985h6+ucx8RP/86C7syu3243z58/jypUreOedd6zjy8vLuHXrVk9tMxAiIiJyshFJlp6ZmUEikYCmadaxs2fP4tq1a1heXrbdLqfGbGBBRSIiajSogoou9CFHqC892X/VavMUXiQSgSRJWFlZsdUmAyEbWFCRiIgasaDi/pqenm55XNM0qKpqu10GQkRERE42wC02kskkisUifD4fisUiUqlUx+fqug6v14u1tbW6LTN2s7y8jLNnz1pf37p1C5Ik9bQbPQMhIiIiBxvU8nlJkqCqKnK5HICdoCgUCllf7yUajULX9Y6vd+nSJczMzCAej0MURWiahmKxCEEQugrAGjFZmoiIyMkGkCyt6zqSyWTdru+xWAyKonRU3DCdTtvaH2xpaQlXr15FMBjE+fPnkUqlsLa2Bo/H03VbJo4IERERUVdWV1cBoG5KShAEiKKIVCq161SVmc9jdzrrySefxJNPPml9rWkaotEok6WJiIhGkcsw4Oowx6davY9q9X7T8e3797q6phnMNOb2CIJQt7y9ka7rSKVSSKVSuz6ulXw+j0gkgvX19ab7Wm3G2ikGQkRERE5W/fjWge9qv4N33sn3fMlisdjyuMfj2TXAkSQJsizbuqYsy1hYWIDb7UY2m0U8HkepVIKiKHjxxRdttQkwELKFdYSIiKjRoOoIdeNzp7+Exz77VNPx+/fv4fe+ebnjdnw+X8vj5XIZoii2vC+dTiMej3e8QqxRKBSytti4efMmJiYmAOwsq49Go1hcXLTVLpOlbXij9DCWP9i5MQgiIiJgp46Q+dnwRunhA7uuOTXWye2o6ygePHq8xa27zzK/3w8ATau+dF1vGwilUilMTk7C5XLB5XJZwdTY2FjbwKpWsVjEq6++io2NDYTDYczOzuL27dtYWlrqafd5BkJERERONoBVY1NTUwA+SZo2aZrWdjVYoVCAYRjWrVAoANgJcNpNtdWKxWL48pe/jPn5eXi9XkxOTsLtduO5555jHSEiIiI6OIIgIJFI1K0QS6fT8Pv9CIfDAHYSqs3E6HZtAOh46bvf70e5XLa+TiQSCAaDqFQqCAQCtp8LAyEiIiInG1BlaVmWkUwmIUkSxsfHUSwWkc9/koitaVpPU1aNrl+/DkEQ6ipLm1N0vWAgRERE5GCDqiwN7IzKtBMOh63RoVZEUYTRRQB24cIFvPjii3WBUD8wR4iIiIiGnizLbUeArl+/brtdjggRERE52QA3XT1IhUIByWQSoig2LcFXFAXPPvusrXYZCBERETmYq7pz67UNJyiVSnC73XVTauVyuavNWxsxELKBBRWJiKjRwAoq2hwReu/Pfx9/9v3f/7iJ4Y+E4vE4JElquZ3GK6+8YrtdBkI2vFF6GEePnRh0N4iIaIis3T1m/WG8vXV0wL3Z22M//ON47Id/HABw//4mfudb/3TAPWp29OhRhMNhyLJsVZJuxaw4bQeTpYmIiJxsAAUVD8rExAQWFxdx+vRp5PN5PPPMMxgfH8fFixexsbHRl2uM5IiQOZdod78TIiKiYdHN7vO7tTGMarfeCAQCmJycRDAYxNWrV/t2DccFQvF4HEtLSwB2ym13sottNptFJBKxvhYEAZVKxXYfxn/tW3jA9WDb+ydx0XbbRETkDD+Q/r229903PjrAnowOQRA6rkTdKUcFQpFIBKFQCJFIBJlMBslkErquty3fbUqlUsjlctbX7TaEIyIicpwRWT5vGhsbazq2vLxsu9CiYwIhRVEQj8etPU2CwSDK5TLS6fSugZCiKBBFsacN2ai9IzDw+Ue28J07x1CFa9DdOTT4uu4Pvq77g6/rgBkAel30NaRxkKZpePXVV+uWy7c6Nj8/j5WVFVvXcEwgNDU11ZTTMz09jWw2u+t5kiRBVVWk02kEg0GkUimOCPXRERfwhZNbePvDY6gO6Q+SE/F13R98XfcHX1faL4VCoWmbDsMw6o4ZhgGXy34A7phAqFVic7FY3HUfEwDIZDJQVRW5XA7pdBo+nw+FQqGnjdqOHjuCo67mBXfVbQPGNn8LEBGNCtdRF44cbf4QNowjwNYB9eEQJ0uLoghJknbNCyqVSkin07av4ZhAqBVFUVAoFHZ9jCiKEEUR4XAYkiQhFAohGo3ued5upv/hj+DEieY6Qu/+zvt493ff3/N870NbPRdhHJY2+mVYnk+/XpNheW0P22tymF7XfrUzLG30y7A8n07beOypH8Rnv/SppuObm5vIX+6pC50z0Iccob70pO9kWe6oRlDt6rJuDSwQymazWFxc3PNxc3NzLUdvJElCKpXqagm8KIqQZbluBZkdK7/0py1XjVU7HA3yPvRRH35Ih6ONfhmW59Ov12RYXtvD9pocpte1X+0MSxv9MizPp9M23vv6X+A//94HTcedsGrs3fe/hff+YievZlgrS3daKDEQCNi+xsACoXA4vOe0VjvZbBbT09O2EqB7mRIzbW9V4XLKxixERLRvjG0D2y3+CN4+yMDC5qqxz/7gND77g9MAgPvb97D8B3uXozmMHDc1pigKANQFUbqudzwypGma7RVkZob6fXy06zDi9tbmru3cu7fZc/n1YWnD5TKwubmJ7a0HsG3YT1YblufTjzb60c5he12HpS/D9Lr2q51haKNfr2s/+nKQbew26nMfO/cZB5F7UwV6Xqw3wn/bu4wD+S71h6IoyGQyiMfj1jFN06BpGhKJBFRVRSqVspbTq6qKxcVFzM3NWYFSJBKBLMu2Vo792Z/9GR577LG+PBciIjr83nvvPXzmM5/Zl7Y3NjbgdrsR+GsJPHD0eE9t3d++h/x/SmJ9fR2nTp3qUw+dwTEjQqqqIhQKAUBTdnixWASwExSZI0YmRVGQTqcRi8UwPj6OhYUF21trPProo3jvvfdw8uTJnpbqERHR4WYYBm7fvo1HH3100F2hPThqRIiIiIh2WCNC/9Wl/owI/dFLHBEiIiIihxmxLTb6rbkqIBEREdGI4IgQERGRk3FEqCcMhIiIiJyMy+d7wkCIiIhoBL1bXsW75Z3tpoa1svRBYCBERETkYHY3Xf3c2CQ+NzYJYGfVmPKdX+p31xyBgRAREZGTMUeoJ1w1RkRERCOLI0JEREROVjUAV48jOlWOCBH1jaqqmJycHHQ3HCuZTCIej1v/Un/wfbk/4vE4xsbGMDY2BkmSBt2d0WROjfV6G1EMhKiv0uk0IpEIVFUddFccSZIk5HI5pFIpJBIJ+Hw+a489so/vy/0RiUQwOTmJTCaDmZkZBu8D048gaHQDIe41Rn2XTCYhSRL41uqOrusYGxtDJpNBOByuO5bL5RAMBgfcQ2fj+7K/zA2ua9+XkUgE2WyWr/EBMfcaC4r/Cx440uNeY9V7ULT/cyT3GuOIENGQWF1dBVD/wSIIAkRRRCqVGlS3iFqamppqCs6np6cH1JsRx6mxnjBZmmhImNM2giDUHRcEAZqmDaBHRO01vk8BoFgsWqOZdICqfZjaGuFkaQZCREOiWCy2PO7xeBgIkSMoioJCoTDoblCHvrtxE+9u3AKAkZ7OZCBELWWzWSwuLu75uLm5Ofj9/gPo0eHn8/laHi+XyxBF8YB7Q9QdSZKQSqVajhTRPjOqO7cufe7kj+FzJ38MwMc5Qu/+X/3umSMwEKKWwuEwh7gPmBlQ6rpe92Gi6zqmpqYG1CuivWWzWUxPTzOhf1BYWbonTJYmGhJmsGMmTZs0TeMSehpa5uqx2j+cdF0fUG+IusdAiGhICIKARCJRt0IsnU7D7/dzdI6GkqIoyGQyEEURqqpCVVVks1mk0+lBd220VI3+3GywUwC2tgjnMNSd4tQY9ZWiKNYHeTqdRjAYZH5LF2RZturdjI+Po1gsIp/PD7pbjsf3Zf+pqmqNVDYGPu0S/2mfDGhqTJIkqKqKXC4HYCcoCoVC1tetxONxRCIRyLKMpaUlxONxTE5OIhaL2e56r1hQkYiIyIGsgoqPxvtTUPF7qY4LKtopAKvrOjRNq1tgMzk5idnZWSQSiZ763wtOjRERETmZgT4UVOzuknYKwAqC0LTKWNf1gU/9c2qMiIjIybqYGqsa26ga203H71e3urpkrwVgdV1HJBJBPB4f+DQ1AyEiIiInq1YBdFZHqHh7BcUPV/d+4F7t9FAAVtM0pFIpaJoGSZJQKpUgy3LPfbKLOUJEREQOZOUIfeoCHjhyrKNzdhsR+p0Pfr3jHKF2mxhPTk7C4/HsmjBdaxg26mWOEBERkZN1kQt0BEfwgOvBlrdu1BaAraXreldTXXNzcy3bOUgMhIiIiJxsALvP96sArCiKEARhoFuzMBAiIiKirnRSAFZV1bqCibquI5vN1o3+zM/PI5PJHFi/W2GyNBERkZNVDXS9/r1lG93ZqwCspmnWFiym+fl5RKNRxGIx+Hy+oVg1xmRpohElSRLS6TTm5uYgCMJAK7t2yvzFmslkoCjKQBMsiQbNTJYOjP1Mx8nS7dyvbiFf+VcdJ0sfJhwRIhphU1NTA63o2i1RFBGLxTA1NYXJyclBd4eIDgEGQkRERE5m2N80ta6NEcVkaaJDRFEUhEIha9WGoigYGxtrmqffjZngaG6gaJ5rHo/H40in0xgbG0M2m7XOSyaTSCaTiEQiiEQi1vFsNmtNw/l8PqvYmq7r1gaMPp+vaePOdu0RUYMBrBo7TDgiRHSImPv+hEIhqKoKXdextrbW1dLUQCCAhYUFhMNhiKKISCSCSqUCQRCwtLQEj8eDSCRi5RYBsErlm9d3uVxIJpNIJBKIRqOoVCpW++aKkUgkYhVdMwM4URQRDAZ3bY+I+uPde3+Md+/9CQCMdL4dAyGiQ8as72F3WWosFrMCEEEQoOu6VSRNFEV4PB4Eg0HrMYqiQFXVus0Xc7mctRJE13Wk02nEYjHEYjHoug5FUazy+rXM/u7WHhE1qFYBV2dbbNT67INfwGcf/AIA4L6xhfztf9PvnjkCAyGiQ8bcAbqboma1ZFmGpmlIp9NN+wl5PJ6m0SVVVZuClNogJpFIIB6PI5PJIJVKQRRFqKoKv99ft7+Q+f9kMrlre0TUwOjD8nmOCBHRYaHrOsrlMgqFgq3zk8kkVlZWkMlkoKpqU+5Oo1KptOsmi7Isw+fzQZIkTE5OIp/P73rOXu0RUT2jWoVhY0Sorg2jt/OdjMnSRIeMWRuomwRpk6qqkCQJCwsLAIByubznOWYCtKqqdccVRYGu69A0DbFYDGtraxBFEfPz8/D5fFBVtemc2oTqVu0REfUbAyGiQ0LTNGSzWQSDQYTDYWiaZpW075QZ+CwtLUHXdSuZ2WyrVWAUi8UgCAICgQDS6TQURUE8HofH40G5XLZK8AuCgNnZWXg8HszMzADYSczOZrPWijSzTlC79oioBa4a6wkDIaJDQFEUq8Cg3++HKIrw+/2IRqPWvj+dMIMoSZIQjUYxNzcHURQRjUbx1a9+FaqqQlGUpuCqUChgamoK8XgckiQhEolYu1MrimItny8Wi5BlGYIgoFAoWKvSzJuZC7Rbe0TUoGr05zaiuMUG0YiSJAmqqlqjPk6iqiomJydHeskvkbnFxtnjM3jA1eMWG8YWlu8tcYsNIhotTk1Kdmq/ifaFYQDoMdl5hP+oYCBENKJmZ2frKjo7adNVAFbuEdGoM6oGDFdvgcwoj65yaoyIiMiBzKmx//aBMB5wPdj1+e9tfwfvVd8CABgwcBe3OTVGREREDmNUYWdq7LEjj+OxI48DAO4bH+H17et97pgzMBAiIiJyME6N9YbL54mIiGhkcUSIiIjIwe4b9z6eHuuhDXzUp944DwMhIiIiBzp27Bg+/elP4+vf/3d9ae/Tn/40jh3rrR6RE3HVGBERkUNtbm5ia2urL20dO3YMJ06c6EtbTsJAiIiIiEYWk6WJiIhoZDEQIiIiopHFQIiIiIhGFgMhIiIiGlkMhIiIiGhkMRAiIiKikcVAiIiIiEbW/w+Kz2hNc16aQAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Notice the fractional pixel weights\n", "#\n", "MyPhot.show_aper_weights()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Like before, we will find the integration time required to reach a signal-to-noise ratio\n", "of 10.\n", "\n", "Remember that the flux is very close to zero in the UV- and u-bands, so you should\n", "disregard the results of these two passband calculations. In some cases, the emission line\n", "spectrum may be so small in some passbands that Python will calculate the AB magnitude to\n", "be infinity (since the negative logarithm of zero is positive infinity) and will output a\n", "`RuntimeWarning`. In these cases, if you want to avoid all of these warnings, you can\n", "generate a spectrum with a low but non-zero continuum (e.g., $10^{-21}$ erg/s/cm$^2$/A)\n", "and add an emission line on top of this continuum.\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:21.247831Z", "iopub.status.busy": "2024-11-11T06:13:21.247574Z", "iopub.status.idle": "2024-11-11T06:13:21.264702Z", "shell.execute_reply": "2024-11-11T06:13:21.263955Z", "shell.execute_reply.started": "2024-11-11T06:13:21.247804Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time (s) required to reach SNR=10 in uv-band 1838787157.018459\n", "SNR achieved in t=1838787157.018459 seconds in uv-band 10.000000000000002\n", "\n", "Time (s) required to reach SNR=10 in u-band 4377393648824653.0\n", "SNR achieved in t=4377393648824653.0 seconds in u-band 10.000000000000002\n", "\n", "Time (s) required to reach SNR=10 in g-band 8039.467736646107\n", "SNR achieved in t=8039.467736646107 seconds in g-band 9.999999999999996\n", "\n" ] } ], "source": [ "TARGET_SNR = 10\n", "REDDENING = 0\n", "\n", "# (For prettier printing)\n", "for band in MyTelescope.passbands:\n", " time = MyPhot.calc_snr_or_t(snr=TARGET_SNR, reddening=REDDENING, quiet=True)[band]\n", " print(f\"Time (s) required to reach SNR={TARGET_SNR} in {band}-band\", time)\n", " snr = MyPhot.calc_snr_or_t(t=time, reddening=REDDENING, quiet=True)[band]\n", " print(f\"SNR achieved in t={time} seconds in {band}-band\", snr)\n", " print()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Galaxy Source\n", "\n", "Finally, we will simulate a galaxy using the `castor_etc` package.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As always, we begin with defining our telescope parameters.\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:21.265792Z", "iopub.status.busy": "2024-11-11T06:13:21.265545Z", "iopub.status.idle": "2024-11-11T06:13:21.473819Z", "shell.execute_reply": "2024-11-11T06:13:21.473170Z", "shell.execute_reply.started": "2024-11-11T06:13:21.265767Z" } }, "outputs": [], "source": [ "#\n", "# Define telescope instance\n", "#\n", "MyTelescope = Telescope()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we assume default levels of Earthshine and zodiacal light, but we add a custom\n", "geocoronal emission line.\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:21.474910Z", "iopub.status.busy": "2024-11-11T06:13:21.474634Z", "iopub.status.idle": "2024-11-11T06:13:21.484632Z", "shell.execute_reply": "2024-11-11T06:13:21.483931Z", "shell.execute_reply.started": "2024-11-11T06:13:21.474872Z" } }, "outputs": [], "source": [ "#\n", "# Generate background object\n", "#\n", "MyBackground = Background() # default Earthshine and zodiacal light\n", "MyBackground.add_geocoronal_emission(\n", " flux=1e-15, wavelength=2345 * u.AA, linewidth=0.023 * u.AA\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we make a galaxy with a typical de Vaucouleurs profile (Sérsic index $n=4$). Another\n", "common Sérsic index value is $n=1$, which denotes an exponentially-decreasing profile.\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:21.485696Z", "iopub.status.busy": "2024-11-11T06:13:21.485446Z", "iopub.status.idle": "2024-11-11T06:13:21.532437Z", "shell.execute_reply": "2024-11-11T06:13:21.531763Z", "shell.execute_reply.started": "2024-11-11T06:13:21.485659Z" } }, "outputs": [], "source": [ "#\n", "# Make a galaxy with a de Vaucouleurs profile\n", "#\n", "MySource = GalaxySource(\n", " r_eff=3 * u.arcsec, # effective radius, sqrt(a * b)\n", " n=4, # Sersic index\n", " axial_ratio=0.9, # ratio of semiminor axis (b) to semimajor axis (a)\n", " rotation=135, # CCW rotation from x-axis\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use one of the predefined spectra to describe this galaxy. As well, we are going to\n", "renormalize the spectrum to some total (bolometric) luminosity and distance. Finally,\n", "suppose it is an intermediate-redshift galaxy ($z=0.1$).\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:21.533518Z", "iopub.status.busy": "2024-11-11T06:13:21.533258Z", "iopub.status.idle": "2024-11-11T06:13:21.813612Z", "shell.execute_reply": "2024-11-11T06:13:21.812940Z", "shell.execute_reply.started": "2024-11-11T06:13:21.533494Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Source AB mags {'uv': np.float64(25.69136659200104), 'u': np.float64(25.06673659547406), 'g': np.float64(23.609216549534842)}\n", "Source bolometric AB mag 23.39051359135356\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Choose a generic spiral galaxy spectrum & renormalize to some bolometric luminosity +\n", "# distance\n", "#\n", "MySource.use_galaxy_spectrum(gal_type=\"spiral\")\n", "MySource.norm_luminosity_dist(luminosity=1.4e8, dist=450 * u.Mpc) # (solar luminosities)\n", "#\n", "# Redshift wavelengths\n", "#\n", "MySource.redshift_wavelengths(0.1)\n", "print(\"Source AB mags\", MySource.get_AB_mag(MyTelescope))\n", "print(\"Source bolometric AB mag\", MySource.get_AB_mag())\n", "#\n", "# Visualize spectrum\n", "#\n", "fig, ax = MySource.show_spectrum(plot=False)\n", "ax.set_xlim(1000, 6000)\n", "ax.set_ylim(top=np.percentile(MySource.spectrum, 96))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use an elliptical photometry aperture for this calculation.\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:21.814711Z", "iopub.status.busy": "2024-11-11T06:13:21.814456Z", "iopub.status.idle": "2024-11-11T06:13:28.365488Z", "shell.execute_reply": "2024-11-11T06:13:28.364723Z", "shell.execute_reply.started": "2024-11-11T06:13:21.814684Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#\n", "# Specify photometry aperture\n", "#\n", "MyPhot = Photometry(MyTelescope, MySource, MyBackground)\n", "MyPhot.use_elliptical_aperture(\n", " a=6 * u.arcsec, b=4 * u.arcsec, center=[0, 0] * u.arcsec, rotation=31.41592654\n", ")\n", "#\n", "# Visualize source and aperture\n", "#\n", "for band in MyTelescope.passbands:\n", " MyPhot.show_source_weights(passband=band, norm=LogNorm(vmin=1e-6))\n", "MyPhot.show_aper_weights()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's find the signal-to-noise ratio achieved after 4321 seconds. Bonus fact:\n", "this integration time is actually my bank account PIN! (Just kidding...)\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2024-11-11T06:13:28.366768Z", "iopub.status.busy": "2024-11-11T06:13:28.366494Z", "iopub.status.idle": "2024-11-11T06:13:28.402331Z", "shell.execute_reply": "2024-11-11T06:13:28.401586Z", "shell.execute_reply.started": "2024-11-11T06:13:28.366741Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SNR achieved in t=4321 seconds in uv-band 1.7989726291965868\n", "Time (s) required to reach SNR=1.7989726291965868 in uv-band 4321.000000000001\n", "\n", "SNR achieved in t=4321 seconds in u-band 2.1561361622109714\n", "Time (s) required to reach SNR=2.1561361622109714 in u-band 4321.000000000002\n", "\n", "SNR achieved in t=4321 seconds in g-band 4.581767626418454\n", "Time (s) required to reach SNR=4.581767626418454 in g-band 4321.0\n", "\n" ] } ], "source": [ "INTEGRATION_TIME = 4321 # seconds\n", "REDDENING = 0.01 # E(B-V)\n", "\n", "# (For prettier printing)\n", "for band in MyTelescope.passbands:\n", " snr = MyPhot.calc_snr_or_t(t=INTEGRATION_TIME, reddening=REDDENING, quiet=True)[band]\n", " print(f\"SNR achieved in t={INTEGRATION_TIME} seconds in {band}-band\", snr)\n", " time = MyPhot.calc_snr_or_t(snr=snr, reddening=REDDENING, quiet=True)[band]\n", " print(f\"Time (s) required to reach SNR={snr} in {band}-band\", time)\n", " print()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 4 }