From ab7e61d2b1a38387f81ee44b09770cfaf11d5ff8 Mon Sep 17 00:00:00 2001 From: RyanGroneck Date: Mon, 18 Nov 2024 11:43:47 -0500 Subject: [PATCH 1/7] =?UTF-8?q?new=20Documentation=20for=20setting=20amoun?= =?UTF-8?q?t=20of=20threads=20used=20in=20STARDIS=20simul=E2=80=A6=20(#228?= =?UTF-8?q?)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit * new Documentation for setting amount of threads used in STARDIS simulation * more info added: parallelized stuff and when to use * direcotry managment and added to index.rst * name change: Using Stardis in Parallel --- docs/index.rst | 1 + .../stardis_in_parallel.ipynb | 61 +++++++++++++++++++ 2 files changed, 62 insertions(+) create mode 100644 docs/using_stardis_in_parallel/stardis_in_parallel.ipynb diff --git a/docs/index.rst b/docs/index.rst index 3327b50f..7e76e1c4 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -10,6 +10,7 @@ This is the documentation for STARDIS. Quickstart Downloading and Installation Physics of STARDIS + Using STARDIS in Parallel Example Notebooks Contributing Bibliography diff --git a/docs/using_stardis_in_parallel/stardis_in_parallel.ipynb b/docs/using_stardis_in_parallel/stardis_in_parallel.ipynb new file mode 100644 index 00000000..b2afe6ee --- /dev/null +++ b/docs/using_stardis_in_parallel/stardis_in_parallel.ipynb @@ -0,0 +1,61 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Setting number of threads used in running a STARDIS simulation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When you run a STARDIS simulation, the yaml file determines how many threads are used. By default, it will only use 1 thread. The more threads you set a simulation to use, the more computing power the simulation will take advantage of for calculating line opacity and ray tracing steps (as both of these are parallelized in STARDIS). **Setting n_threads to 0 will make the simulation use all available threads.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here is a what a yaml file that has the STARDIS simulation use 3 threads will look like\n", + "\n", + "``` yaml\n", + "stardis_config_version: 1.0\n", + "n_threads: 3 # <----------- add your 'n_threads: ' here\n", + "atom_data: kurucz_cd23_chianti_H_He.h5\n", + "model:\n", + " ...\n", + "```\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One reason you may want to consider increasing threads used is when computing spectra with large numbers (i.e. 10,000 or more) of wavelength points." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "stardis", + "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": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From 6351d0871b60bd44efc4f1245afb1adf6ced6eab Mon Sep 17 00:00:00 2001 From: RyanGroneck Date: Mon, 25 Nov 2024 14:56:37 -0500 Subject: [PATCH 2/7] Documentation for using MARCS to generate a .mod file for STARDIS (#227) * Documentation for using MARCS to generate a .mod file for STARDIS * typo and format fix * directory managment and added to index.rst * heading format fix --------- Co-authored-by: Joshua Shields <54691495+jvshields@users.noreply.github.com> --- .../Custom_Star_Model_with_Marcs.ipynb | 130 ++++++++++++++++++ .../search_marcs.png | Bin 0 -> 288637 bytes .../search_results.png | Bin 0 -> 320890 bytes docs/index.rst | 1 + 4 files changed, 131 insertions(+) create mode 100644 docs/Custom_Star_Model_with_Marcs/Custom_Star_Model_with_Marcs.ipynb create mode 100644 docs/Custom_Star_Model_with_Marcs/search_marcs.png create mode 100644 docs/Custom_Star_Model_with_Marcs/search_results.png diff --git a/docs/Custom_Star_Model_with_Marcs/Custom_Star_Model_with_Marcs.ipynb b/docs/Custom_Star_Model_with_Marcs/Custom_Star_Model_with_Marcs.ipynb new file mode 100644 index 00000000..8d5a0f20 --- /dev/null +++ b/docs/Custom_Star_Model_with_Marcs/Custom_Star_Model_with_Marcs.ipynb @@ -0,0 +1,130 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "In the quickstart notebook you saw STARDIS using the file 'sun.mod' to create spectra based on the sun. Here we will show how to obtain and use a .mod file for a star of your chosen parameters." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Using MARCS to get .mod files\n", + "\n", + "STARDIS uses files from the [MARCS site](https://marcs.oreme.org/), which \"contains about 52,000 stellar atmospheric models of spectral types F, G and K\". Here we will only be discussing the aspects of MARCS needed for STARDIS. To get started, [go to the 'Search Marcs' tab of the MARCS site](https://marcs.oreme.org/data/)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "https://marcs.oreme.org/data/" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "\n", + "
\n", + "\n", + "*picture of the Search Marcs page*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Getting an atmosphere model is as easy as entering a range of parameters of your choosing. For more information on what each of these qualities are, you can click the question marks next to each option or refer to [the MARCS documentation](https://marcs.oreme.org/documents/)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In the below example, we have entered some arbitrary values into MARCS, and on the right are now all files that qualify. Note how the names of the files show the exact parameters of each file and how there are several pages of files you can look through.\n", + "\n", + "
\n", + "\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "MARCS uses a 'shopping cart' style system for selecting models, called your 'basket'. Once you have selected your chosen models, proceed to the 'Basket' tab to download them. **Make sure you only have '.mod' files selected, as that is the format used by STARDIS.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Below is an example of a yaml file using the 'sun.mod' file. Note that you can provide either the relative or absolute path to your new model data.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "``` yaml\n", + "stardis_config_version: 1.0\n", + "atom_data: kurucz_cd23_chianti_H_He.h5\n", + "model:\n", + " type: marcs\n", + " fname: sun.mod # <----- this is where the .mod file is specified\n", + " final_atomic_number: 30\n", + "opacity:\n", + "...\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### One last thing: gzipped files\n", + "\n", + "when you download a mod file from MARCS, it will be gzipped (shown by the file ending with '.mod.gz'). By default STARDIS will assume you have extracted the file, however you can add a line to the yaml file 'gzipped: True' as shown below and STARDIS will take care of this for you.\n", + "\n", + "``` yaml\n", + "...\n", + "model:\n", + " type: marcs\n", + " fname: sun.mod\n", + " gzipped: True # <----- use this if the file is gzipped\n", + " final_atomic_number: 30\n", + "...\n", + "\n", + "```" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "stardis", + "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": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/Custom_Star_Model_with_Marcs/search_marcs.png b/docs/Custom_Star_Model_with_Marcs/search_marcs.png new file mode 100644 index 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Quickstart Downloading and Installation Physics of STARDIS + Custom Star Model Using STARDIS in Parallel Example Notebooks Contributing From fd1b669bb3dad79ff63c088f6709191a2778521c Mon Sep 17 00:00:00 2001 From: RyanGroneck Date: Mon, 2 Dec 2024 10:58:38 -0500 Subject: [PATCH 3/7] documentation on types of STARDIS returns (model, plasma, rad-field) (#230) * documentation on types of STARDIS returns (model, plasma, radiation field) * stellar_radiation and import fix --------- Co-authored-by: Joshua Shields <54691495+jvshields@users.noreply.github.com> --- docs/index.rst | 1 + .../possible_stardis_outputs.ipynb | 668 ++++++++++++++++++ .../stardis_outputs_config.yml | 21 + 3 files changed, 690 insertions(+) create mode 100644 docs/possible_stardis_outputs/possible_stardis_outputs.ipynb create mode 100644 docs/possible_stardis_outputs/stardis_outputs_config.yml diff --git a/docs/index.rst b/docs/index.rst index 50111a84..e0741768 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -10,6 +10,7 @@ This is the documentation for STARDIS. Quickstart Downloading and Installation Physics of STARDIS + Possible STARDIS Outputs Custom Star Model Using STARDIS in Parallel Example Notebooks diff --git a/docs/possible_stardis_outputs/possible_stardis_outputs.ipynb b/docs/possible_stardis_outputs/possible_stardis_outputs.ipynb new file mode 100644 index 00000000..42db7a6e --- /dev/null +++ b/docs/possible_stardis_outputs/possible_stardis_outputs.ipynb @@ -0,0 +1,668 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import Necessary Code" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from stardis.base import run_stardis\n", + "\n", + "from astropy import units as u, constants as const" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### STARDIS simulations contain a variety of information, and depending on your needs you can have different parts of a simulation returned." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are three parts of the simulation you can choose to return:\n", + "- Stellar_Model\n", + "- Stellar_Plasma\n", + "- Stellar_Radiation_Field\n", + "\n", + "Regardless of which are set to return, the simulation will always produce the stellar spectrum (such as the one displayed in the quickstart notebook)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Selecting Result Options" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To access these different parts of the model, you need to declare what you want to be returned in your Yaml file. This notebook uses a Yaml file named `stardis_outputs_config.yml` which has the following lines:\n", + "\n", + "``` yaml\n", + " ...\n", + " broadening: [radiation, linear_stark, quadratic_stark, van_der_waals]\n", + "no_of_thetas: 20\n", + "result_options: # <----- \n", + " return_model: True # <----- defaults to False\n", + " return_plasma: True # <----- defaults to False\n", + " return_radiation_field: True # <----- defaults to True\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Creating Example Simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: UnitsWarning: 'erg/cm2/s' contains multiple slashes, which is discouraged by the FITS standard [astropy.units.format.generic]\n" + ] + } + ], + "source": [ + "tracing_lambdas = np.mgrid[6540:6590:.01]* u.Angstrom\n", + "\n", + "sim = run_stardis('stardis_outputs_config.yml', tracing_lambdas)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Stellar Model\n", + "\n", + "The stellar model is based on the information derived from the MARCS file for your star, and you can access it to verify STARDIS correctly processed the file. In the below example we are using the stellar model to look at simulated depths in our star in centimeters." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$[-12340000,~-10630000,~-9171000,~-7926000,~-6851000,~-5907000,~-5478000,~-5063000,~-4651000,~-4229000,~-3778000,~-3266000,~-2648000,~-1898000,~-1015000,~-0,~1146000,~2411000,~3776000,~5215000,~6700000,~8210000,~9728000,~11240000,~12750000,~14250000,~15730000,~17210000,~18680000,~20130000,~21580000,~23020000,~24450000,~25880000,~27300000,~28710000,~30120000,~31520000,~32920000,~34310000,~35690000,~37070000,~38440000,~39810000,~41180000,~42530000,~45300000,~48050000,~50780000,~53490000,~56180000,~58840000,~61490000,~64110000,~66720000,~69310000] \\; \\mathrm{cm}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sim.stellar_model.geometry.r" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Stellar Plasma\n", + "\n", + "The stellar plasma is generated from the stellar model, and in it we can find information about the makeup and qualities of the plasma in our simulated star. Here is an example of us looking at the density of ions at different depths within our star. " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "

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" + ], + "text/plain": [ + " 0 1 2 \\\n", + "atomic_number ion_number \n", + "1 0 1.357488e+17 1.321919e+17 1.295592e+17 \n", + " 1 6.385172e+15 5.006329e+15 3.898646e+15 \n", + "2 0 1.209755e+16 1.167746e+16 1.135911e+16 \n", + " 1 6.058951e+09 3.353671e+09 1.817801e+09 \n", + " 2 5.581645e-13 7.050644e-14 8.127889e-15 \n", + "... ... ... ... \n", + "30 26 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 27 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 28 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 29 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 30 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "\n", + " 3 4 5 \\\n", + "atomic_number ion_number \n", + "1 0 1.277547e+17 1.267249e+17 1.264809e+17 \n", + " 1 2.999333e+15 2.260427e+15 1.644337e+15 \n", + "2 0 1.112897e+16 1.097843e+16 1.090522e+16 \n", + " 1 9.521732e+08 4.719585e+08 2.133037e+08 \n", + " 2 8.158929e-16 6.613797e-17 3.784828e-18 \n", + "... ... ... ... \n", + "30 26 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 27 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 28 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 29 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 30 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "\n", + " 6 7 8 \\\n", + "atomic_number ion_number \n", + "1 0 1.267312e+17 1.272488e+17 1.280748e+17 \n", + " 1 1.367509e+15 1.110215e+15 8.708180e+14 \n", + "2 0 1.090297e+16 1.092512e+16 1.097505e+16 \n", + " 1 1.343820e+08 7.961535e+07 4.322331e+07 \n", + " 2 7.112620e-19 1.065274e-19 1.157150e-20 \n", + "... ... ... ... \n", + "30 26 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 27 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 28 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 29 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 30 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "\n", + " 9 ... 46 47 \\\n", + "atomic_number ion_number ... \n", + "1 0 1.292835e+17 ... 3.966417e+15 3.116191e+15 \n", + " 1 6.501580e+14 ... 3.478357e+09 2.392115e+09 \n", + "2 0 1.105915e+16 ... 3.375972e+14 2.652311e+14 \n", + " 1 2.071727e+07 ... 4.557768e-04 2.346949e-04 \n", + " 2 0.000000e+00 ... 0.000000e+00 0.000000e+00 \n", + "... ... ... ... ... \n", + "30 26 0.000000e+00 ... 0.000000e+00 0.000000e+00 \n", + " 27 0.000000e+00 ... 0.000000e+00 0.000000e+00 \n", + " 28 0.000000e+00 ... 0.000000e+00 0.000000e+00 \n", + " 29 0.000000e+00 ... 0.000000e+00 0.000000e+00 \n", + " 30 0.000000e+00 ... 0.000000e+00 0.000000e+00 \n", + "\n", + " 48 49 50 \\\n", + "atomic_number ion_number \n", + "1 0 2.447204e+15 1.920907e+15 1.507041e+15 \n", + " 1 1.629784e+09 1.100527e+09 7.368918e+08 \n", + "2 0 2.082910e+14 1.634958e+14 1.282700e+14 \n", + " 1 1.187835e-04 5.913624e-05 2.898587e-05 \n", + " 2 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "... ... ... ... \n", + "30 26 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 27 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 28 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 29 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 30 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "\n", + " 51 52 53 \\\n", + "atomic_number ion_number \n", + "1 0 1.181611e+15 9.258287e+14 7.247400e+14 \n", + " 1 4.895196e+08 3.230976e+08 2.125878e+08 \n", + "2 0 1.005715e+14 7.880083e+13 6.168539e+13 \n", + " 1 1.400182e-05 6.683730e-06 3.172236e-06 \n", + " 2 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "... ... ... ... \n", + "30 26 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 27 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 28 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 29 0.000000e+00 0.000000e+00 0.000000e+00 \n", + " 30 0.000000e+00 0.000000e+00 0.000000e+00 \n", + "\n", + " 54 55 \n", + "atomic_number ion_number \n", + "1 0 5.667448e+14 4.413455e+14 \n", + " 1 1.401980e+08 9.814634e+07 \n", + "2 0 4.823782e+13 3.756461e+13 \n", + " 1 1.512106e-06 8.051582e-07 \n", + " 2 0.000000e+00 0.000000e+00 \n", + "... ... ... \n", + "30 26 0.000000e+00 0.000000e+00 \n", + " 27 0.000000e+00 0.000000e+00 \n", + " 28 0.000000e+00 0.000000e+00 \n", + " 29 0.000000e+00 0.000000e+00 \n", + " 30 0.000000e+00 0.000000e+00 \n", + "\n", + "[495 rows x 56 columns]" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sim.stellar_plasma.ion_number_density" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Stellar Radiation Field\n", + "\n", + "The stellar radiation field contains information on how light interacts with your star's atmosphere in the simulation. The example below demonstrates `sim.stellar_radiation_field.opacities.opacities_dict` which contains a dictionary of each source of opacity and how much it contributes to the overall opacity at each wavelength at each depth.\n", + "\n", + "\n", + "This is a breakdown of how opacities_dict stores this information\n", + "``` python\n", + "opacities_dict['opacity_source'][depth_point_index, wavelength_index]\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "alpha_lines = sim.stellar_radiation_field.opacities.opacities_dict['alpha_line_at_nu']\n", + "\n", + "for depth_point in range(1, len(alpha_lines), 12):\n", + "\n", + " plt.plot(sim.lambdas, alpha_lines[depth_point], label=f'{depth_point}th layer')\n", + "plt.legend()\n", + "plt.yscale('log')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "stardis", + "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": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/possible_stardis_outputs/stardis_outputs_config.yml b/docs/possible_stardis_outputs/stardis_outputs_config.yml new file mode 100644 index 00000000..e433e678 --- /dev/null +++ b/docs/possible_stardis_outputs/stardis_outputs_config.yml @@ -0,0 +1,21 @@ +stardis_config_version: 1.0 +atom_data: kurucz_cd23_chianti_H_He.h5 +model: + type: marcs + fname: ../quickstart/sun.mod + final_atomic_number: 30 +opacity: + file: {} + bf: + H_I: {} + ff: + H_I: {} + disable_electron_scattering: False + line: + disable: False + broadening: [radiation, linear_stark, quadratic_stark, van_der_waals] +no_of_thetas: 20 +result_options: + return_model: True + return_plasma: True + return_radiation_field: True \ No newline at end of file From 4279f55c13fd44fb9a4d4e14521812806dd0b310 Mon Sep 17 00:00:00 2001 From: RyanGroneck Date: Mon, 2 Dec 2024 11:00:54 -0500 Subject: [PATCH 4/7] Documentation for using/getting a new CARSUS atom_data file for STARDIS (#226) * Documentation for using/getting a new CARSUS atom_data file for STARDIS * edited the doc, forgot to save before first commit :/ * added part on using vald_linelist: * Typo, format, and clarification edits * directory managment and added to index.rst * heading format fix (hopefully) --------- Co-authored-by: Joshua Shields <54691495+jvshields@users.noreply.github.com> --- .../Custom_atomic_data.ipynb | 101 ++++++++++++++++++ docs/index.rst | 1 + 2 files changed, 102 insertions(+) create mode 100644 docs/Custom_atomic_data/Custom_atomic_data.ipynb diff --git a/docs/Custom_atomic_data/Custom_atomic_data.ipynb b/docs/Custom_atomic_data/Custom_atomic_data.ipynb new file mode 100644 index 00000000..7007f678 --- /dev/null +++ b/docs/Custom_atomic_data/Custom_atomic_data.ipynb @@ -0,0 +1,101 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using Your Own Atomic Data\n", + " To run a simulation, STARDIS requires an atomic data file that has information on the properties of atoms and molecules needed by STARDIS. While [\"kurucz_cd23_chianti_H_He.h5\"](https://dev.azure.com/tardis-sn/TARDIS/_apis/git/repositories/tardis-refdata/items?path=atom_data/kurucz_cd23_chianti_H_He.h5&resolveLfs=true) is the default atomic data used by STARDIS, you can create and use other atomic data files by using [CARSUS](https://tardis-sn.github.io/carsus/). For more information on using CARSUS you can access the [CARSUS documentation](https://tardis-sn.github.io/carsus/index.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Relevant CARSUS Data to Collect\n", + "While CARSUS accumulates all sorts of data when compiling the atomic data files, not everything it can include is necessary or relevant for running STARDIS. Here is a list of what data/readers you should make sure to include when running CARSUS:\n", + "- [atomic weights & ionization energy from NIST](https://tardis-sn.github.io/carsus/io/nist.html)\n", + "- [Robert Kurucz’s Atomic Linelist (GFALL)](https://tardis-sn.github.io/carsus/io/gfall.html)\n", + "- [atomic and molecular transitions from VALD](https://tardis-sn.github.io/carsus/io/vald.html)\n", + "- [Molecular formation from Barklem & Collet 2016](https://tardis-sn.github.io/carsus/io/barklem2016.html)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Use CARSUS and follow their documentation to get a data file:\n", + "\n", + "[https://tardis-sn.github.io/carsus/](https://tardis-sn.github.io/carsus/)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To use new atomic data file in a simulation, add/edit the line in your yaml file `atom_data: `. This path can be *either* the relative or absolute path. Your atomic data file should have the file extension '.h5'." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The file 'kurucz_cd23_chianti_H_He.h5' referenced below is the default atomic_data used by STARDIS.\n", + "``` yaml\n", + "stardis_config_version: 1.0\n", + "atom_data: kurucz_cd23_chianti_H_He.h5 # <----- put the relative or absolute path here\n", + "model:\n", + "...\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Using VALD linelists\n", + "\n", + "Possibly one of the most important reasons you would want to use a custom atomic data file would be to take advantage of a tailored VALD linelist. You can refer to [VALD's documentation](https://www.astro.uu.se/valdwiki) for information on these lists if you are unfamiliar. To create a detailed and accurate stellar spectrum, we highly recommend looking into using a VALD linelist bundled into your atomic data." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you have included a VALD linelist in your atom_data file, then you **must** make the following change to your Yaml file for the linelist to be used:\n", + "``` yaml\n", + "...\n", + "line:\n", + " disable: False\n", + " broadening: [radiation, linear_stark, quadratic_stark, van_der_waals]\n", + " vald_linelist: #<-----\n", + " use_linelist: True #<----- will default to false, so must set to True\n", + " shortlist: #<----- VALD can output lists in 'long' form or 'short' form; set accordingly\n", + "no_of_thetas: 20\n", + "...\n", + "```" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "stardis", + "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": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/index.rst b/docs/index.rst index e0741768..41cce916 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -10,6 +10,7 @@ This is the documentation for STARDIS. Quickstart Downloading and Installation Physics of STARDIS + Custom Atomic Data Possible STARDIS Outputs Custom Star Model Using STARDIS in Parallel From 7bddf42ece01b02b2b49faea7206df1fa4df98d1 Mon Sep 17 00:00:00 2001 From: RyanGroneck Date: Mon, 2 Dec 2024 11:31:12 -0500 Subject: [PATCH 5/7] new documentation: using add_config_dict (#231) * new documentation: using add_config_dict * better example graph --------- Co-authored-by: Joshua Shields <54691495+jvshields@users.noreply.github.com> --- .../Changing_Param_Example.yml | 17 ++ .../Changing_Parameters.ipynb | 175 ++++++++++++++++++ docs/index.rst | 1 + 3 files changed, 193 insertions(+) create mode 100644 docs/Changing_Parameters/Changing_Param_Example.yml create mode 100644 docs/Changing_Parameters/Changing_Parameters.ipynb diff --git a/docs/Changing_Parameters/Changing_Param_Example.yml b/docs/Changing_Parameters/Changing_Param_Example.yml new file mode 100644 index 00000000..8b7b0e60 --- /dev/null +++ b/docs/Changing_Parameters/Changing_Param_Example.yml @@ -0,0 +1,17 @@ +stardis_config_version: 1.0 +atom_data: kurucz_cd23_chianti_H_He.h5 +model: + type: marcs + fname: ../quickstart/sun.mod + final_atomic_number: 30 +opacity: + file: {} + bf: + H_I: {} + ff: + H_I: {} + disable_electron_scattering: False + line: + disable: False + broadening: [radiation, linear_stark, quadratic_stark, van_der_waals] +no_of_thetas: 10 diff --git a/docs/Changing_Parameters/Changing_Parameters.ipynb b/docs/Changing_Parameters/Changing_Parameters.ipynb new file mode 100644 index 00000000..8e9afea8 --- /dev/null +++ b/docs/Changing_Parameters/Changing_Parameters.ipynb @@ -0,0 +1,175 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Changing Parameters" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import Necessary Code" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "8905e1ace41d452db82f78f7c906f0e5", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Iterations: 0/? [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tracing_lambdas = np.mgrid[6586:6592:0.01]* u.Angstrom\n", + "\n", + "\n", + "for carbon_rescaling in range(0, 40, 5):\n", + " sim = run_stardis('Changing_Param_Example.yml', tracing_lambdas, add_config_dict={'model.nuclide_rescaling_dict': {'C' : carbon_rescaling}})\n", + " plt.plot(sim.lambdas, sim.spectrum_lambda, alpha = 0.4, label = f\"C rescaling factor: {carbon_rescaling}\")\n", + "plt.title(\"STARDIS Solar Spectrum\")\n", + "plt.xlabel(r\"Wavelength [$\\AA$]\")\n", + "plt.ylabel(r\"Flux density [erg/s/cm$^2$/$\\AA$]\")\n", + "plt.tight_layout()\n", + "plt.legend()\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "stardis", + "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": "3.12.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/index.rst b/docs/index.rst index 41cce916..eabdd2e2 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -14,6 +14,7 @@ This is the documentation for STARDIS. Possible STARDIS Outputs Custom Star Model Using STARDIS in Parallel + Changing Parameters Example Notebooks Contributing Bibliography From e3a49fe3ab3b4db17da2ff3ec7eb40ea8bc39fe1 Mon Sep 17 00:00:00 2001 From: RyanGroneck Date: Tue, 10 Dec 2024 10:45:56 -0500 Subject: [PATCH 6/7] documentation fixing headers and index (#233) * documentation fixing headers and index * heading fix for rotation broadening notebook * adjusting toctree caption and order --- .../Custom_Star_Model_with_Marcs.ipynb | 16 ++++++++++++++-- .../Custom_atomic_data.ipynb | 9 ++++++++- docs/index.rst | 15 ++++++++++----- .../possible_stardis_outputs.ipynb | 18 ++++++++++-------- .../rotation_broadening.ipynb | 4 ++-- .../rotation_broadening_config.yml | 0 .../stardis_in_parallel.ipynb | 2 +- 7 files changed, 45 insertions(+), 19 deletions(-) rename docs/{example_notebooks => rotation_broadening}/rotation_broadening.ipynb (99%) rename docs/{example_notebooks => rotation_broadening}/rotation_broadening_config.yml (100%) diff --git a/docs/Custom_Star_Model_with_Marcs/Custom_Star_Model_with_Marcs.ipynb b/docs/Custom_Star_Model_with_Marcs/Custom_Star_Model_with_Marcs.ipynb index 8d5a0f20..4474dab8 100644 --- a/docs/Custom_Star_Model_with_Marcs/Custom_Star_Model_with_Marcs.ipynb +++ b/docs/Custom_Star_Model_with_Marcs/Custom_Star_Model_with_Marcs.ipynb @@ -1,5 +1,12 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Custom Star Model" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -12,7 +19,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Using MARCS to get .mod files\n", + "## Using MARCS to get .mod files\n", "\n", "STARDIS uses files from the [MARCS site](https://marcs.oreme.org/), which \"contains about 52,000 stellar atmospheric models of spectral types F, G and K\". Here we will only be discussing the aspects of MARCS needed for STARDIS. To get started, [go to the 'Search Marcs' tab of the MARCS site](https://marcs.oreme.org/data/)" ] @@ -89,7 +96,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "#### One last thing: gzipped files\n", + "## gzipped files\n", "\n", "when you download a mod file from MARCS, it will be gzipped (shown by the file ending with '.mod.gz'). By default STARDIS will assume you have extracted the file, however you can add a line to the yaml file 'gzipped: True' as shown below and STARDIS will take care of this for you.\n", "\n", @@ -104,6 +111,11 @@ "\n", "```" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] } ], "metadata": { diff --git a/docs/Custom_atomic_data/Custom_atomic_data.ipynb b/docs/Custom_atomic_data/Custom_atomic_data.ipynb index 7007f678..4a890867 100644 --- a/docs/Custom_atomic_data/Custom_atomic_data.ipynb +++ b/docs/Custom_atomic_data/Custom_atomic_data.ipynb @@ -1,5 +1,12 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Custom Atomic Data" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -53,7 +60,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Using VALD linelists\n", + "## Using VALD linelists\n", "\n", "Possibly one of the most important reasons you would want to use a custom atomic data file would be to take advantage of a tailored VALD linelist. You can refer to [VALD's documentation](https://www.astro.uu.se/valdwiki) for information on these lists if you are unfamiliar. To create a detailed and accurate stellar spectrum, we highly recommend looking into using a VALD linelist bundled into your atomic data." ] diff --git a/docs/index.rst b/docs/index.rst index eabdd2e2..d71826a7 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -5,19 +5,24 @@ This is the documentation for STARDIS. .. toctree:: :maxdepth: 2 - :caption: Contents: - Quickstart Downloading and Installation + Quickstart Physics of STARDIS + Contributing + Bibliography + +.. toctree:: + :maxdepth: 2 + :caption: Example Notebooks + Custom Atomic Data Possible STARDIS Outputs Custom Star Model Using STARDIS in Parallel Changing Parameters - Example Notebooks - Contributing - Bibliography + Rotation Broadening + Indices and tables ================== diff --git a/docs/possible_stardis_outputs/possible_stardis_outputs.ipynb b/docs/possible_stardis_outputs/possible_stardis_outputs.ipynb index 42db7a6e..8741545b 100644 --- a/docs/possible_stardis_outputs/possible_stardis_outputs.ipynb +++ b/docs/possible_stardis_outputs/possible_stardis_outputs.ipynb @@ -1,5 +1,12 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Possible STARDIS Outputs" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -25,13 +32,15 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "#### STARDIS simulations contain a variety of information, and depending on your needs you can have different parts of a simulation returned." + "## Selecting Result Options" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ + "STARDIS simulations contain a variety of information, and depending on your needs you can have different parts of a simulation returned.\n", + "\n", "There are three parts of the simulation you can choose to return:\n", "- Stellar_Model\n", "- Stellar_Plasma\n", @@ -40,13 +49,6 @@ "Regardless of which are set to return, the simulation will always produce the stellar spectrum (such as the one displayed in the quickstart notebook)." ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Selecting Result Options" - ] - }, { "cell_type": "markdown", "metadata": {}, diff --git a/docs/example_notebooks/rotation_broadening.ipynb b/docs/rotation_broadening/rotation_broadening.ipynb similarity index 99% rename from docs/example_notebooks/rotation_broadening.ipynb rename to docs/rotation_broadening/rotation_broadening.ipynb index 52d1b4bc..7b603154 100644 --- a/docs/example_notebooks/rotation_broadening.ipynb +++ b/docs/rotation_broadening/rotation_broadening.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# STARDIS" + "# Rotation Broadening" ] }, { @@ -92,7 +92,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### STARDIS contains a post-simulation function to broaden the spectrum appropriate for a v sin(i) given by the user. However, this is only physically valid when the spectrum broadened is given over a small range of frequencies or wavelengths, or is constant in velocity resolution across the spectrum. \n", + "STARDIS contains a post-simulation function to broaden the spectrum appropriate for a v sin(i) given by the user. However, this is only physically valid when the spectrum broadened is given over a small range of frequencies or wavelengths, or is constant in velocity resolution across the spectrum. \n", "\n", "First, let's run a small, simple STARDIS simulation with a spectral resolution $R \\sim 100000$" ] diff --git a/docs/example_notebooks/rotation_broadening_config.yml b/docs/rotation_broadening/rotation_broadening_config.yml similarity index 100% rename from docs/example_notebooks/rotation_broadening_config.yml rename to docs/rotation_broadening/rotation_broadening_config.yml diff --git a/docs/using_stardis_in_parallel/stardis_in_parallel.ipynb b/docs/using_stardis_in_parallel/stardis_in_parallel.ipynb index b2afe6ee..83cc42ae 100644 --- a/docs/using_stardis_in_parallel/stardis_in_parallel.ipynb +++ b/docs/using_stardis_in_parallel/stardis_in_parallel.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Setting number of threads used in running a STARDIS simulation" + "# Using STARDIS in Parallel" ] }, { From d0b5404d9b524addf359de339d4c9a3a96daef4d Mon Sep 17 00:00:00 2001 From: Joshua Shields <54691495+jvshields@users.noreply.github.com> Date: Tue, 10 Dec 2024 11:47:27 -0500 Subject: [PATCH 7/7] vald broadening implementation (#225) * vald broadening implementation * apply black * apply black (again) * use vald broadening by default * slight capitalization formatting in config schema * fix inconsistent broadcasting error * fix equation bug * hwhm to fwhm * add molecules * remove redunant code * fix stark broadening mask * refactor broadening calc * documentation * use atomic number rather than ion number * use more accurate temperature scaling for vdW gamma * fix broadcasting bug * fix carsus bug * force int with loc to avoid warning * remove leftover accidental self-assignment * more comprehensive dtype object buigfix * add autoionization lines if using vald broadening * apply black (though we should use ruff instead) * fix bug with using broadening without a linelist * molecular broadening bugfix * logger messages * more logger debugging * debug logging * debug logging * more debugging * try memory efficient arrays for delta_nus * remove old logger messages * black * add comments * remove 4pi comment --- stardis/config_schema.yml | 7 +- stardis/plasma/base.py | 18 +- stardis/plasma/molecules.py | 12 +- .../opacities/opacities_solvers/base.py | 24 +- .../opacities/opacities_solvers/broadening.py | 328 ++++++++++++++++-- 5 files changed, 348 insertions(+), 41 deletions(-) diff --git a/stardis/config_schema.yml b/stardis/config_schema.yml index 4385ae3f..6564605c 100644 --- a/stardis/config_schema.yml +++ b/stardis/config_schema.yml @@ -129,6 +129,9 @@ properties: shortlist: type: boolean default: false + use_vald_broadening: + type: boolean + default: true description: Options for whether to use a vald linelist. Linelist must be included the atom_data and cannot be supplied separately. include_molecules: type: boolean @@ -143,7 +146,7 @@ properties: description: Number of angles to use in the simulation. result_options: type: object - additionalProperties: False + additionalProperties: false default: {} properties: return_model: @@ -154,7 +157,7 @@ properties: default: false return_radiation_field: type: boolean - default: True + default: true description: Options for what to return from the simulation. required: - stardis_config_version diff --git a/stardis/plasma/base.py b/stardis/plasma/base.py index 25bec3e6..086b9db5 100644 --- a/stardis/plasma/base.py +++ b/stardis/plasma/base.py @@ -311,9 +311,9 @@ def calculate( linelist["level_energy_upper"] = ((linelist["e_up"].values * u.eV).cgs).value # Radiation broadening parameter is approximated as the einstein A coefficient. Vald parameters are in log scale. - linelist["A_ul"] = 10 ** (linelist["rad"]) / ( - 4 * np.pi - ) # see 1995A&AS..112..525P for appropriate units - may be off by a factor of 4pi + linelist["A_ul"] = 10 ** ( + linelist["rad"] + ) # see 1995A&AS..112..525P for appropriate units # Need to remove autoionization lines - can't handle with current broadening treatment because can't calculate effective principal quantum number valid_indices = linelist.level_energy_upper < linelist.ionization_energy @@ -449,14 +449,10 @@ def calculate( linelist["level_energy_upper"] = ((linelist["e_up"].values * u.eV).cgs).value # Radiation broadening parameter is approximated as the einstein A coefficient. Vald parameters are in log scale. - linelist["A_ul"] = 10 ** (linelist["rad"]) / ( - 4 * np.pi - ) # see 1995A&AS..112..525P for appropriate units - may be off by a factor of 4pi - - # Need to remove autoionization lines - can't handle with current broadening treatment because can't calculate effective principal quantum number - valid_indices = linelist.level_energy_upper < linelist.ionization_energy - - return alphas[valid_indices], linelist[valid_indices] + linelist["A_ul"] = 10 ** ( + linelist["rad"] + ) # see 1995A&AS..112..525P for appropriate units + return alphas, linelist # Properties that haven't been used in creating stellar plasma yet, diff --git a/stardis/plasma/molecules.py b/stardis/plasma/molecules.py index f7fb2e77..7272316e 100644 --- a/stardis/plasma/molecules.py +++ b/stardis/plasma/molecules.py @@ -288,9 +288,9 @@ def calculate( linelist["level_energy_upper"] = ((linelist["e_up"].values * u.eV).cgs).value # Radiation broadening parameter is approximated as the einstein A coefficient. Vald parameters are in log scale. - linelist["A_ul"] = 10 ** (linelist["rad"]) / ( - 4 * np.pi - ) # see 1995A&AS..112..525P for appropriate units - may be off by a factor of 4pi + linelist["A_ul"] = 10 ** ( + linelist["rad"] + ) # see 1995A&AS..112..525P for appropriate units return alphas, linelist @@ -414,8 +414,8 @@ def calculate( linelist["level_energy_upper"] = ((linelist["e_up"].values * u.eV).cgs).value # Radiation broadening parameter is approximated as the einstein A coefficient. Vald parameters are in log scale. - linelist["A_ul"] = 10 ** (linelist["rad"]) / ( - 4 * np.pi - ) # see 1995A&AS..112..525P for appropriate units - may be off by a factor of 4pi + linelist["A_ul"] = 10 ** ( + linelist["rad"] + ) # see 1995A&AS..112..525P for appropriate units return alphas, linelist diff --git a/stardis/radiation_field/opacities/opacities_solvers/base.py b/stardis/radiation_field/opacities/opacities_solvers/base.py index 2854c197..61e64e3d 100644 --- a/stardis/radiation_field/opacities/opacities_solvers/base.py +++ b/stardis/radiation_field/opacities/opacities_solvers/base.py @@ -2,6 +2,7 @@ import numpy as np from pathlib import Path import numba +import logging from astropy import units as u, constants as const @@ -32,6 +33,8 @@ ).value RYDBERG_FREQUENCY = (const.c.cgs * const.Ryd.cgs).value +logger = logging.getLogger(__name__) + # Calculate opacity from any table specified by the user def calc_alpha_file(stellar_plasma, stellar_model, tracing_nus, opacity_source, fpath): @@ -406,13 +409,30 @@ def calc_alpha_line_at_nu( .to_numpy() ) + if not line_opacity_config.vald_linelist.use_vald_broadening: + autoionization_lines = ( + lines_sorted_in_range.level_energy_upper + > lines_sorted_in_range.ionization_energy + ).values + + lines_sorted_in_range = lines_sorted_in_range[~autoionization_lines].copy() + alphas_array = alphas_array[~autoionization_lines].copy() + line_nus = line_nus[~autoionization_lines].copy() + + lines_sorted_in_range = lines_sorted_in_range.apply( + pd.to_numeric + ) # weird bug cropped up with ion_number being an object instead of an int + gammas, doppler_widths = calculate_broadening( lines_sorted_in_range, stellar_model, stellar_plasma, line_opacity_config.broadening, - ) # This can be further improved by only calculating the broadening for the lines that are within the range. + use_vald_broadening=line_opacity_config.vald_linelist.use_vald_broadening + and line_opacity_config.vald_linelist.use_linelist, # don't try to use vald broadening if you don't use vald linelists at all + ) + # This line is awful for large simulations. Has to solve wavelength points times number of lines. Can be optimized. delta_nus = tracing_nus.value - line_nus[:, np.newaxis] # If no broadening range, compute the contribution of every line at every frequency. @@ -484,6 +504,7 @@ def calc_molecular_alpha_line_at_nu( lines_sorted_in_range = lines_sorted[ lines_sorted.nu.between(tracing_nus.min(), tracing_nus.max()) ] + line_nus = lines_sorted_in_range.nu.to_numpy() alphas_and_nu = stellar_plasma.molecule_alpha_line_from_linelist @@ -525,7 +546,6 @@ def calc_molecular_alpha_line_at_nu( raise ValueError( "Broadening range must be in units of length or frequency." ) - if n_threads == 1: # Single threaded alpha_line_at_nu = calc_alan_entries( stellar_model.no_of_depth_points, diff --git a/stardis/radiation_field/opacities/opacities_solvers/broadening.py b/stardis/radiation_field/opacities/opacities_solvers/broadening.py index 0e48dfb0..9bed9789 100644 --- a/stardis/radiation_field/opacities/opacities_solvers/broadening.py +++ b/stardis/radiation_field/opacities/opacities_solvers/broadening.py @@ -1,9 +1,11 @@ import numpy as np from astropy import constants as const, units as u import math +import logging import numba from numba import cuda from scipy.ndimage import convolve1d +from scipy.special import gamma as gamma_func GPUs_available = cuda.is_available() @@ -21,6 +23,10 @@ VACUUM_ELECTRIC_PERMITTIVITY = 1.0 / (4.0 * PI) H_MASS = float(const.m_p.cgs.value) C_KMS = float(const.c.to(u.km / u.s).value) +AMU_CGS = const.u.cgs.value + + +logger = logging.getLogger(__name__) @numba.njit @@ -655,6 +661,7 @@ def calculate_broadening( stellar_model, stellar_plasma, broadening_line_opacity_config, + use_vald_broadening=False, ): """ Calculates broadening information for each line at each depth point. @@ -667,6 +674,7 @@ def calculate_broadening( stellar_plasma : tardis.plasma.base.BasePlasma broadening_line_opacity_config : tardis.io.configuration.config_reader.Configuration Broadening methods section of the line opacity section of the STARDIS configuration. + use_vald_broadening : bool, optional Returns ------- @@ -682,21 +690,35 @@ def calculate_broadening( van_der_waals = "van_der_waals" in broadening_line_opacity_config radiation = "radiation" in broadening_line_opacity_config - gammas = calc_gamma( - atomic_number=lines.atomic_number.values[:, np.newaxis], - ion_number=lines.ion_number.values[:, np.newaxis] + 1, - ionization_energy=lines.ionization_energy.values[:, np.newaxis], - upper_level_energy=lines.level_energy_upper.values[:, np.newaxis], - lower_level_energy=lines.level_energy_lower.values[:, np.newaxis], - A_ul=lines.A_ul.values[:, np.newaxis], - electron_density=stellar_plasma.electron_densities.values, - temperature=stellar_model.temperatures.value, - h_density=stellar_plasma.ion_number_density.loc[1, 0].values, - linear_stark=linear_stark, - quadratic_stark=quadratic_stark, - van_der_waals=van_der_waals, - radiation=radiation, - ) + if use_vald_broadening: + logger.info("Using VALD broadening parameters.") + gammas = calc_vald_gamma( + lines, + stellar_model, + stellar_plasma, + linear_stark=linear_stark, + quadratic_stark=quadratic_stark, + van_der_waals=van_der_waals, + radiation=radiation, + ) + else: + logger.info("Calculating broadening parameters.") + gammas = calc_gamma( + atomic_number=lines.atomic_number.values[:, np.newaxis], + ion_number=lines.ion_number.values[:, np.newaxis] + + 1, # You consider the charge of the ion interior to the outside electron + ionization_energy=lines.ionization_energy.values[:, np.newaxis], + upper_level_energy=lines.level_energy_upper.values[:, np.newaxis], + lower_level_energy=lines.level_energy_lower.values[:, np.newaxis], + A_ul=lines.A_ul.values[:, np.newaxis], + electron_density=stellar_plasma.electron_densities.values, + temperature=stellar_model.temperatures.value, + h_density=stellar_plasma.ion_number_density.loc[1, 0].values, + linear_stark=linear_stark, + quadratic_stark=quadratic_stark, + van_der_waals=van_der_waals, + radiation=radiation, + ) doppler_widths = calc_doppler_width( lines.nu.values[:, np.newaxis], @@ -715,13 +737,73 @@ def calculate_molecule_broadening( stellar_model, stellar_plasma, broadening_line_opacity_config, + use_vald_broadening=False, ): - if "radiation" in broadening_line_opacity_config: - gammas = lines.A_ul.values[:, np.newaxis] + """ + Calculates broadening information for molecular line at each depth point. + + Parameters + ---------- + lines : DataFrame + Dataframe of the lines to calculate broadening for. + stellar_model : stardis.model.base.StellarModel + stellar_plasma : tardis.plasma.base.BasePlasma + broadening_line_opacity_config : tardis.io.configuration.config_reader.Configuration + Broadening methods section of the line opacity section of the STARDIS configuration. + calc_only_doppler : bool, optional + True if only Doppler broadening is to be calculated, otherwise False. + By default False. + use_vald_broadening : bool, optional + + Returns + ------- + gammas : numpy.ndarray + Array of shape (no_of_lines, no_depth_points). Collisional broadening + parameter of each line at each depth point. + doppler_widths : numpy.ndarray + Array of shape (no_of_lines, no_depth_points). Doppler width of each + line at each depth point. + """ + linear_stark = "linear_stark" in broadening_line_opacity_config + quadratic_stark = "quadratic_stark" in broadening_line_opacity_config + van_der_waals = "van_der_waals" in broadening_line_opacity_config + radiation = "radiation" in broadening_line_opacity_config + + gammas = np.zeros((len(lines), stellar_model.no_of_depth_points), dtype=float) + if use_vald_broadening: + if radiation: + gammas += lines.A_ul.values[:, np.newaxis] + if linear_stark or quadratic_stark: + stark = calc_vald_stark_gamma( + stellar_plasma.electron_densities.values, + lines.stark.values[:, np.newaxis], + stellar_model.temperatures.value, + ) + gammas += stark + if van_der_waals: + vdW = calc_vald_vdW( + lines.waals.values, + stellar_model.temperatures.value, + stellar_model.composition.nuclide_masses.loc[ + lines.atomic_number + ].values[:, np.newaxis], + lines.level_energy_upper.values[:, np.newaxis], + lines.level_energy_lower.values[:, np.newaxis], + stellar_plasma.ion_number_density.loc[1, 0].values, + lines.ion_number.values[:, np.newaxis] + + 1, # You consider the charge of the ion interior to the outside electron + lines.ionization_energy.values[:, np.newaxis], + ) + gammas += vdW + gammas # HWHM TO FWHM else: - gammas = np.zeros( - (len(lines), len(stellar_model.geometry.no_of_depth_points)), dtype=float - ) + if "radiation" in broadening_line_opacity_config: + gammas = lines.A_ul.values[:, np.newaxis] + else: + gammas = np.zeros( + (len(lines), len(stellar_model.geometry.no_of_depth_points)), + dtype=float, + ) ions = stellar_plasma.molecule_ion_map.loc[lines.molecule] @@ -793,3 +875,209 @@ def rotation_broadening( ) return wavelength, broadened_fluxes + + +def calc_vald_stark_gamma(electron_density, stark, temperature): + """ + see https://articles.adsabs.harvard.edu/pdf/1995MNRAS.276..859A, most basic case + """ + stark_gamma = electron_density * 10**stark * (temperature / 1e4) ** (1 / 6) + stark_gamma = np.where( + electron_density * stark == 0, 0, stark_gamma + ) # The stark number should always be negative. 0 means missing. Have to broadcast out to the right shape. + return stark_gamma + + +def _calc_vald_vdW_scaled_gamma(vdW, temperature): + """ + see https://github.com/barklem/public-data/tree/master/broadening-howto, https://articles.adsabs.harvard.edu/pdf/1995MNRAS.276..859A + and Korg https://github.com/ajwheeler/Korg.jl/blob/ff89e57b5f90b06553c10aebacedcb649a451f0b/src/line_absorption.jl#L178 + """ + return (10**vdW * (temperature / 1e4) ** 0.38).T + + +def _calc_vald_vdw_unsoeld_approx( + vdW, + ion_number, + ionization_energy, + upper_level_energy, + lower_level_energy, + temperature, +): + """ + unsoeld approximations are just enhancement factors to multiply approximate vdW values by, + so we calculate them as we would normally, and then multiply by the enhancement factor + """ + n_eff_upper = calc_n_effective(ion_number, ionization_energy, upper_level_energy) + n_eff_lower = calc_n_effective(ion_number, ionization_energy, lower_level_energy) + approx_gamma = calc_gamma_van_der_waals( + ion_number, + n_eff_upper, + n_eff_lower, + temperature, + np.ones_like( + temperature + ), # This is just saying hydrogen density is 1. We multiply by hydrogen density later for all types of vdW broadening + ) + + return approx_gamma * vdW[:, np.newaxis] + + +def _calc_vald_vdW_abo(vdW, temperature, atomic_mass): + """abo calculation of vald parameters, following Korg https://github.com/ajwheeler/Korg.jl/blob/ff89e57b5f90b06553c10aebacedcb649a451f0b/src/line_absorption.jl#L179 + which cites https://github.com/barklem/public-data/tree/master/broadening-howto + vdW values here are packed sigma and alpha, where sigma is pre-decimal point and alpha is post-decimal point + 1e6 is 1e4 km/s in cgs, which is the measured value for sigmas in the ABO tables + + """ + vdW_int = vdW.astype(int) + sigma = (vdW_int * BOHR_RADIUS * BOHR_RADIUS)[:, np.newaxis] + alpha = (vdW - vdW_int)[:, np.newaxis] + + inverse_reduced_mass = 1 / (1.008 * AMU_CGS) + (1 / atomic_mass) + vbar = np.sqrt(8 * BOLTZMANN_CONSTANT * temperature / PI * inverse_reduced_mass) + return ( + 2 + * (4 / PI) ** (alpha / 2) + * gamma_func((4 - alpha) / 2) + * 1e6 + * sigma + * (vbar / 1e6) ** (1 - alpha) + ) + + +def calc_vald_vdW( + vdW, + temperature, + atomic_mass, + upper_level_energy, + lower_level_energy, + hydrogen_density, + ion_number, + ionization_energy, +): + """ + see https://github.com/barklem/public-data/tree/master/broadening-howto + + Parameters + ---------- + vdW : numpy.ndarray + van der Waals broadening parameter. + temperature : numpy.ndarray + Temperature of depth points being considered. + atomic_mass : numpy.ndarray + upper_level_energy : numpy.ndarray + Energy in ergs of upper level of transition being considered. + lower_level_energy : numpy.ndarray + Energy in ergs of upper level of transition being considered. + hydrogen_density : numpy.ndarray + Number density of Hydrogen at depth point being considered. + ion_number : numpy.ndarray + Ion number + 1 of ion being considered. Treats interior as hydrogenic. + ionization_energy : numpy.ndarray + Ionization energy in ergs of ion being considered. + """ + vdW_unscaled_mask = vdW < 0 + vdW_0_mask = vdW == 0.0 + vdW_unsoeld_mask = (0 < vdW) & (vdW < 20) + vdW_abo_mask = vdW >= 20 + gamma_vdW = np.zeros((vdW.shape[0], temperature.shape[0])) + + gamma_vdW[vdW_unscaled_mask, :] = _calc_vald_vdW_scaled_gamma( + vdW[vdW_unscaled_mask], + temperature[:, np.newaxis], + ) + + gamma_vdW[vdW_0_mask, :] = 0.0 + gamma_vdW[vdW_unsoeld_mask, :] = _calc_vald_vdw_unsoeld_approx( + vdW[vdW_unsoeld_mask], + ion_number[vdW_unsoeld_mask], + ionization_energy[vdW_unsoeld_mask], + upper_level_energy[vdW_unsoeld_mask], + lower_level_energy[vdW_unsoeld_mask], + temperature, + ) + + gamma_vdW[vdW_abo_mask, :] = _calc_vald_vdW_abo( + vdW[vdW_abo_mask], temperature, atomic_mass[vdW_abo_mask] + ) + return gamma_vdW * hydrogen_density + + +def calc_vald_gamma( + lines, + stellar_model, + stellar_plasma, + linear_stark, + quadratic_stark, + van_der_waals, + radiation, +): + """ + Calculates broadening information for vald lines at each depth point. + + Parameters + ---------- + lines : DataFrame + Dataframe of the lines to calculate broadening for. + stellar_model : stardis.model.base.StellarModel + stellar_plasma : tardis.plasma.base.BasePlasma + linear_stark : bool + True if linear Stark broadening is to be considered, otherwise False. + quadratic_stark : bool + True if quadratic Stark broadening is to be considered, otherwise False. + van_der_waals : bool + True if Van Der Waals broadening is to be considered, otherwise False. + radiation : bool + True if radiation broadening is to be considered, otherwise False. + + Returns + ------- + gammas : numpy.ndarray + Array of shape (no_of_lines, no_depth_points). Collisional broadening + parameter of each line at each depth point. + """ + gammas = np.zeros((lines.shape[0], stellar_model.no_of_depth_points)) + if radiation: + gammas += lines.A_ul.values[:, np.newaxis] + if linear_stark: + h_indices = lines.atomic_number == 1 + n_eff_upper = calc_n_effective( + lines.ion_number[h_indices].values + 1, + lines.ionization_energy[h_indices].values, + lines.level_energy_upper[h_indices].values, + ) + n_eff_lower = calc_n_effective( + lines.ion_number[h_indices].values + 1, + lines.ionization_energy[h_indices].values, + lines.level_energy_lower[h_indices].values, + ) + gamma_linear_stark = calc_gamma_linear_stark( + n_eff_upper[:, np.newaxis], + n_eff_lower[:, np.newaxis], + stellar_plasma.electron_densities.values, + ) + gammas[h_indices, :] += gamma_linear_stark + if quadratic_stark: + stark = calc_vald_stark_gamma( + stellar_plasma.electron_densities.values, + lines.stark.values[:, np.newaxis], + stellar_model.temperatures.value, + ) + gammas += stark + if van_der_waals: + vdW = calc_vald_vdW( + lines.waals.values, + stellar_model.temperatures.value, + stellar_model.composition.nuclide_masses.loc[lines.atomic_number].values[ + :, np.newaxis + ], + lines.level_energy_upper.values[:, np.newaxis], + lines.level_energy_lower.values[:, np.newaxis], + stellar_plasma.ion_number_density.loc[1, 0].values, + lines.ion_number.values[:, np.newaxis] + 1, + lines.ionization_energy.values[:, np.newaxis], + ) + gammas += vdW + gammas /= 2 # HWHM to FWHM + return gammas