{ "cells": [ { "cell_type": "raw", "id": "eaf29ef7", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ".. _walkthroughs-python:\n", "\n", "Python Walkthrough\n", "==================\n", "\n", "This section walks through using the MSG Python interface\n", "to evaluate spectra and photometric colors for a model of Sirius A. The code fragments are presented as a\n", "sequence of `Jupyter `__ notebook cells, but pasting all of them\n", "into a Python script should work also. Alternatively, the entire notebook (including this text) is available in the source distribution at :file:`$MSG_DIR/docs/source/user-guide/walkthroughs/python-walkthrough.ipynb`.\n", "\n", "Preparation\n", "-----------\n", "\n", "Before starting Jupyter, make sure that you have installed the :py:mod:`pymsg` package as described in the :ref:`quick-start` and/or :ref:`installation` chapters. Also, ensure that the `NumPy\n", "`__, `Matplotlib `__ and\n", "`Astropy `__ packages are installed on your\n", "system. Finally, confirm that the :envvar:`MSG_DIR` environment\n", "variable is set.\n", "\n", "Initialization\n", "--------------\n", "\n", "Launch Jupyter, create a new Python3 notebook, and initialize the notebook \n", "with the following statements:" ] }, { "cell_type": "code", "execution_count": 1, "id": "2eb4244c", "metadata": {}, "outputs": [], "source": [ "# Import standard modules\n", "\n", "import os\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import astropy.constants as con\n", "\n", "# Import pymsg\n", "\n", "import pymsg\n", "\n", "# Set constants\n", "\n", "M_SUN = con.M_sun.cgs.value\n", "R_SUN = con.R_sun.cgs.value\n", "L_SUN = con.L_sun.cgs.value\n", "PC = con.pc.cgs.value\n", "\n", "G = con.G.cgs.value\n", "C = con.c.cgs.value\n", "SIGMA = con.sigma_sb.cgs.value\n", "\n", "# Set plot parameters\n", "\n", "plt.rcParams.update({'font.size': 12})" ] }, { "cell_type": "raw", "id": "5b4d9d5f", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Loading & Inspecting the Demo Grid\n", "----------------------------------\n", "\n", "For demonstration purposes MSG includes a low-resolution :f-schema:`specgrid` (spectroscopic grid) file, :file:`$MSG_DIR/data/grids/sg-demo.h5`\\ [#grids]_. Load this demo grid into memory\\ [#memory]_ by creating a\n", "new :py:class:`pymsg.SpecGrid` object:" ] }, { "cell_type": "code", "execution_count": 2, "id": "88947edc", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "# Create the SpecGrid object\n", "\n", "MSG_DIR = os.environ['MSG_DIR']\n", "GRID_DIR = os.path.join(MSG_DIR, 'data', 'grids')\n", "\n", "specgrid_file_name = os.path.join(GRID_DIR, 'sg-demo.h5')\n", "\n", "specgrid = pymsg.SpecGrid(specgrid_file_name)" ] }, { "cell_type": "raw", "id": "556f2bd2", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "This object has a number of (read-only) properties that inform us about\n", "the parameter space spanned by the grid:" ] }, { "cell_type": "code", "execution_count": 3, "id": "b4d6d202", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Grid parameters:\n", " Teff [3500.0 -> 49000.0]\n", " log(g) [0.0 -> 5.0]\n", " lam [2999.9999999999977 -> 9003.490078514782]\n" ] } ], "source": [ "# Inspect grid parameters\n", "\n", "print('Grid parameters:')\n", "\n", "for label in specgrid.axis_labels:\n", " print(f' {label} [{specgrid.axis_x_min[label]} -> {specgrid.axis_x_max[label]}]')\n", "\n", "print(f' lam [{specgrid.lam_min} -> {specgrid.lam_max}]')" ] }, { "cell_type": "raw", "id": "796adf25", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Here, ``Teff`` and ``log(g)`` correspond (respectively) to the\n", ":math:`\\Teff/\\kelvin` and :math:`\\log_{10}(g/\\cm\\,\\second^{-2})` photospheric parameters, while\n", "``lam`` is wavelength :math:`\\lambda/\\angstrom`.\n", "\n", "Plotting the Flux\n", "-----------------\n", "\n", "Let's now evaluate and plot a flux spectrum (more precisely, an :ref:`irradiance spectrum\n", "`) for Sirius A. First, set up the star's parameters:" ] }, { "cell_type": "code", "execution_count": 4, "id": "6f8b6aba", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "# Set Sirius A's fundamental parameters. Mass, radius & luminosity are from\n", "# Liebert et al. (2005, ApJ, 630, 69), while parallax and radial velocity are from\n", "# Simbad\n", "\n", "M = 2.02*M_SUN\n", "R = 1.71*R_SUN\n", "L = 25.4*L_SUN\n", "\n", "p = 0.379\n", "v = -5.50e5\n", "\n", "d = 1/p * PC\n", "z = v/C\n", "\n", "# Store photospheric parameters in a dict\n", "\n", "Teff = ((L/(4*np.pi*R**2*SIGMA))**0.25)\n", "logg = np.log10(G*M/R**2)\n", "\n", "x = {'Teff': Teff, 'log(g)': logg}" ] }, { "cell_type": "raw", "id": "ebb2bf63", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Then create a uniformly-spaced wavelength abscissa for a spectrum spanning the visible range,\n", ":math:`3800\\,\\angstrom` to :math:`7000\\,\\angstrom`." ] }, { "cell_type": "code", "execution_count": 5, "id": "273ccc70", "metadata": {}, "outputs": [], "source": [ "# Set up the wavelength abscissa\n", "\n", "lam_min = 3800\n", "lam_max = 7000\n", "\n", "lam = np.linspace(lam_min, lam_max, 501)\n", "lam_c = 0.5*(lam[1:] + lam[:-1])" ] }, { "cell_type": "raw", "id": "e47705fd", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Here, the array ``lam`` defines the boundaries of 500 wavelength bins\n", ":math:`\\{\\lambda_{i},\\lambda_{i+1}\\}` (:math:`i=1,\\ldots,500`), and ``lam_c`` defines the central wavelength of each bin.\n", "\n", "With all our parameters defined, evaluate the elemental flux using a\n", "call to the :py:meth:`pymsg.SpecGrid.flux` method, and convert it into an irradiance using equation :math:numref:`eq:irrad-flux` from the :ref:`msg-fundamentals` chapter:" ] }, { "cell_type": "code", "execution_count": 6, "id": "98437c97", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Evaluate the elemental flux and irradiance\n", "\n", "F_lam = specgrid.flux(x, z, lam)\n", "F_lam_obs = (R/d)**2*F_lam\n", "\n", "# Plot the irradiance spectrum\n", "\n", "plt.figure()\n", "\n", "plt.plot(lam_c, F_lam_obs)\n", "\n", "plt.xlabel(r'$\\lambda ({\\AA})$')\n", "plt.ylabel(r'$F^{\\mathrm{obs}}_{\\lambda}\\ ({\\rm erg\\,cm^{-2}\\,s^{-1}}\\,\\AA^{-1})$');" ] }, { "cell_type": "raw", "id": "19c11a46", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "The plot looks as expected |---| we can clearly see the Balmer series, starting with H\\ :math:`\\alpha` :math:`\\lambda6563\\,\\angstrom`.\n", "\n", "Plotting the Intensity\n", "----------------------\n", "\n", "Sometimes we want to know the specific intensity of the radiation\n", "emerging from an element of a star's photosphere. \n", "For this, we can use the :py:meth:`pymsg.SpecGrid.intensity` method.\n", "\n", "Here's a demonstration of this method in action, plotting the specific\n", "intensity across the H\\ :math:`\\alpha` line profile for ten different\n", "values of the angle parameter :math:`\\mu=0.1,0.2,\\ldots,1.0`." ] }, { "cell_type": "code", "execution_count": 7, "id": "4cf4572a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set up the wavelength abscissa\n", "\n", "lam_min = 6300.\n", "lam_max = 6800.\n", "\n", "lam_H = np.linspace(lam_min, lam_max, 100)\n", "lam_H_c = 0.5*(lam_H[1:] + lam_H[:-1])\n", "\n", "# Loop over mu, plotting the intensity spectra\n", "\n", "plt.figure()\n", "\n", "for mu in np.linspace(1.0, 0.1, 10):\n", "\n", " # Evaluate the intensity\n", "\n", " I_lam = specgrid.intensity(x, mu, z, lam_H)\n", "\n", " if mu==0.1 or mu==1.0:\n", " label=r'$\\mu={:3.1f}$'.format(mu)\n", " else:\n", " label=None\n", "\n", " plt.plot(lam_H_c, I_lam, label=label)\n", "\n", "plt.xlabel(r'$\\lambda ({\\AA})$')\n", "plt.ylabel(r'$I_{\\lambda}\\ ({\\rm erg\\,cm^{-2}\\,s^{-1}}\\,\\AA^{-1}\\,sr^{-1})$')\n", "\n", "plt.legend();" ] }, { "cell_type": "raw", "id": "6a518cfb", "metadata": { "editable": true, "raw_mimetype": "text/restructuredtext", "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "We can clearly see that limb-darkening in the line core is much weaker\n", "than in the continuum, as we exact for such a strong\n", "line.\n", "\n", "Evaluating Magnitudes & Colors\n", "------------------------------\n", "\n", "As a final step in this walkthrough, let's evaluate the magnitude and\n", "colors of Sirius A in the :wiki:`UBV photometric system `. We can do this by \n", "creating a new :py:class:`pymsg.PhotGrid` object for each passband:" ] }, { "cell_type": "code", "execution_count": 8, "id": "46efce2f", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "# Create the PhotGrid objects\n", "\n", "PASS_DIR = os.path.join(MSG_DIR, 'data', 'passbands')\n", "filters = ['U', 'B', 'V']\n", "\n", "photgrids = {}\n", "\n", "for filter in filters:\n", " passband_file_name = os.path.join(PASS_DIR, f'pb-Generic-Johnson.{filter}-Vega.h5')\n", " photgrids[filter] = pymsg.PhotGrid(specgrid_file_name, passband_file_name)" ] }, { "cell_type": "raw", "id": "3d0680d8", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "(for convenience, we store the :py:class:`pymsg.PhotGrid` objects in a\n", ":py:type:`dict`, keyed by filter name). In the calls to the object constructor\n", ":py:meth:`pymsg.PhotGrid`, the first argument is the name of a\n", ":f-schema:`specgrid` file (here, the demo grid), and the second argument is the\n", "name of a :f-schema:`passband` file; a limited set of these files is\n", "provided in the :file:`$MSG_DIR/data/passbands` subdirectory\\ [#passbands]_. \n", "The photometric irradiances of Sirius A are then found using the :py:meth:`pymsg.PhotGrid.flux` method:" ] }, { "cell_type": "code", "execution_count": 9, "id": "51c4d152", "metadata": {}, "outputs": [], "source": [ "# Evaluate the photometric irradiances (each normalized to the passband\n", "# zero-point flux)\n", "\n", "F_obs = {}\n", "\n", "for filter in filters:\n", " F = photgrids[filter].flux(x)\n", " F_obs[filter] = (R/d)**2*F" ] }, { "cell_type": "raw", "id": "ac6a863b", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "To convert these into apparent magnitudes, we can apply :wiki:`Pogson's ` logarithmic formula:" ] }, { "cell_type": "code", "execution_count": 10, "id": "28ed8101", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "V=-1.446677985580499, U-B=-0.059646818350374886, B-V=0.00112193455961207\n" ] } ], "source": [ "# Evaluate apparent magnitudes and print out magnitude & colors\n", "\n", "mags = {}\n", "\n", "for filter in filters:\n", " mags[filter] = -2.5*np.log10(F_obs[filter])\n", "\n", "print(f\"V={mags['V']}, U-B={mags['U']-mags['B']}, B-V={mags['B']-mags['V']}\")" ] }, { "cell_type": "raw", "id": "0c3c147e", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ "Reassuringly, the resulting values are within 10 millimag of Sirius A's\n", "apparent V-band magnitude and colors, as given by `Simbad `__.\n", "\n", ".. rubric:: Footnotes\n", "\n", ".. [#grids] Larger grids can be downloaded separately; see the `grid files `__ web page.\n", " \t \n", ".. [#memory] Behind the scenes, the data in the :f-schema:`specgrid` file are loaded on demand; see\n", " the :ref:`data-caching` chapter for further details.\n", " \n", ".. [#passbands] Passband definition files for other instruments/photometric systems \n", " can be downloaded separately; see the `passband files `__ web page." ] } ], "metadata": { "celltoolbar": "Raw Cell Format", "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 5 }