{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Analysing Spectral Energy Distribution and Emission/Absorption Visualization"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"\n",
"**Note:** \n",
"\n",
"This notebook is only a sample demonstrating some of the features of the `sdecplotter` class. If you are interested in using additional features, you should directly access the [sdecplotter](https://github.com/tardis-sn/tardis/blob/master/tardis/visualization/tools/sdec_plot.py#L419) class. You can see the rest of the features of the sdecplotter class [here](docs/analysing_tardis_outputs/visualization/how_to_sdec_plot.ipynb).\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A notebook for analyzing and visualizing the spectral energy distribution, emission and absorption patterns in supernova simulations using TARDIS."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2021-10-01T11:54:24.525446Z",
"start_time": "2021-10-01T11:54:24.522894Z"
},
"nbsphinx": "hidden"
},
"outputs": [],
"source": [
"import numpy as np\n",
"from astropy import units as u\n",
"\n",
"from tardis.util.base import atomic_number2element_symbol\n",
"from tardis.visualization import plot_util as pu\n",
"from tardis.visualization.sdec.util import (\n",
" calculate_absorption_luminosities,\n",
" calculate_emission_luminosities,\n",
")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Every simulation run requires [atomic data](io/configuration/components/atomic/atomic_data.rst) and a [configuration file](io/configuration/index.rst). \n",
"\n",
"## Atomic Data\n",
"\n",
"We recommend using the [kurucz_cd23_chianti_H_He.h5](https://github.com/tardis-sn/tardis-regression-data/raw/main/atom_data/kurucz_cd23_chianti_H_He.h5) dataset."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[\u001b[1mtardis.io.atom_data.atom_web_download\u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
"\tAtomic Data kurucz_cd23_chianti_H_He already exists in /home/abhinav/Downloads/tardis-data/kurucz_cd23_chianti_H_He.h5. Will not download - override with force_download=True. (\u001b[1matom_web_download.py\u001b[0m:50)\n"
]
}
],
"source": [
"from tardis.io.atom_data import download_atom_data\n",
"\n",
"# We download the atomic data needed to run the simulation\n",
"download_atom_data('kurucz_cd23_chianti_H_He')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example Configuration File"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"!wget -q -nc https://raw.githubusercontent.com/tardis-sn/tardis/master/docs/tardis_example.yml"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"# Example YAML configuration for TARDIS\n",
"tardis_config_version: v1.0\n",
"\n",
"supernova:\n",
" luminosity_requested: 9.44 log_lsun\n",
" time_explosion: 13 day\n",
"\n",
"atom_data: kurucz_cd23_chianti_H_He.h5\n",
"\n",
"model:\n",
" structure:\n",
" type: specific\n",
" velocity:\n",
" start: 1.1e4 km/s\n",
" stop: 20000 km/s\n",
" num: 20\n",
" density:\n",
" type: branch85_w7\n",
"\n",
" abundances:\n",
" type: uniform\n",
" O: 0.19\n",
" Mg: 0.03\n",
" Si: 0.52\n",
" S: 0.19\n",
" Ar: 0.04\n",
" Ca: 0.03\n",
"\n",
"plasma:\n",
" disable_electron_scattering: no\n",
" ionization: lte\n",
" excitation: lte\n",
" radiative_rates_type: dilute-blackbody\n",
" line_interaction_type: macroatom\n",
"\n",
"montecarlo:\n",
" seed: 23111963\n",
" no_of_packets: 4.0e+4\n",
" iterations: 20\n",
" nthreads: 1\n",
"\n",
" last_no_of_packets: 1.e+5\n",
" no_of_virtual_packets: 10\n",
"\n",
" convergence_strategy:\n",
" type: damped\n",
" damping_constant: 1.0\n",
" threshold: 0.05\n",
" fraction: 0.8\n",
" hold_iterations: 3\n",
" t_inner:\n",
" damping_constant: 0.5\n",
"\n",
"spectrum:\n",
" start: 500 angstrom\n",
" stop: 20000 angstrom\n",
" num: 10000\n"
]
}
],
"source": [
"!cat tardis_example.yml"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Loading Simulation Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Running simulation\n",
"\n",
"To run the simulation, import the `run_tardis` function and create the `sim` object."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"**Note:**\n",
"\n",
"Get more information about the [progress bars](io/output/progress_bars.rst), [logging configuration](io/optional/tutorial_logging_configuration.ipynb), and [convergence plots](io/visualization/tutorial_convergence_plot.ipynb).\n",
"\n",
"
\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"ExecuteTime": {
"end_time": "2021-10-01T11:55:28.560853Z",
"start_time": "2021-10-01T11:54:24.527697Z"
},
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[\u001b[1mtardis.io.model.parse_atom_data\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tReading Atomic Data from kurucz_cd23_chianti_H_He.h5 (\u001b[1mparse_atom_data.py\u001b[0m:40)\n",
"[\u001b[1mtardis.io.atom_data.util\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tAtom Data kurucz_cd23_chianti_H_He.h5 not found in local path.\n",
"\tExists in TARDIS Data repo /home/abhinav/Downloads/tardis-data/kurucz_cd23_chianti_H_He.h5 (\u001b[1mutil.py\u001b[0m:34)\n",
"[\u001b[1mtardis.io.atom_data.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tReading Atom Data with: UUID = 6f7b09e887a311e7a06b246e96350010 MD5 = 864f1753714343c41f99cb065710cace (\u001b[1mbase.py\u001b[0m:258)\n",
"[\u001b[1mtardis.io.atom_data.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tNon provided Atomic Data: synpp_refs, photoionization_data, yg_data, two_photon_data, linelist_atoms, linelist_molecules (\u001b[1mbase.py\u001b[0m:262)\n",
"[\u001b[1mtardis.io.model.parse_density_configuration\u001b[0m][\u001b[1;33mWARNING\u001b[0m] \n",
"\tNumber of density points larger than number of shells. Assuming inner point irrelevant (\u001b[1mparse_density_configuration.py\u001b[0m:114)\n",
"[\u001b[1mtardis.model.matter.decay\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tDecaying abundances for 1123200.0 seconds (\u001b[1mdecay.py\u001b[0m:101)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 1 of 20 (\u001b[1mbase.py\u001b[0m:444)\n"
]
},
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"TqdmHBox(children=(HTML(value='Iterations:', layout=Layout(width='6%')), FloatProgress(value=0.0, layout=Layou…"
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 7.942e+42 erg / s\n",
"\tLuminosity absorbed = 2.659e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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"\t\n",
"\tCurrent t_inner = 9933.952 K\n",
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"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 2 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.071e+43 erg / s\n",
"\tLuminosity absorbed = 3.576e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10703.212 K\n",
"\tExpected t_inner for next iteration = 10673.712 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 3 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.074e+43 erg / s\n",
"\tLuminosity absorbed = 3.391e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 1/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10673.712 K\n",
"\tExpected t_inner for next iteration = 10635.953 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 4 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.058e+43 erg / s\n",
"\tLuminosity absorbed = 3.352e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 2/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
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"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10635.953 K\n",
"\tExpected t_inner for next iteration = 10638.407 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 5 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.055e+43 erg / s\n",
"\tLuminosity absorbed = 3.399e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 3/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
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"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10638.407 K\n",
"\tExpected t_inner for next iteration = 10650.202 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 6 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.061e+43 erg / s\n",
"\tLuminosity absorbed = 3.398e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 4/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
]
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10650.202 K\n",
"\tExpected t_inner for next iteration = 10645.955 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 7 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.061e+43 erg / s\n",
"\tLuminosity absorbed = 3.382e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 5/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
]
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"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10645.955 K\n",
"\tExpected t_inner for next iteration = 10642.050 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 8 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.062e+43 erg / s\n",
"\tLuminosity absorbed = 3.350e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 6/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
]
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10642.050 K\n",
"\tExpected t_inner for next iteration = 10636.106 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 9 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.052e+43 erg / s\n",
"\tLuminosity absorbed = 3.411e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 7/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10636.106 K\n",
"\tExpected t_inner for next iteration = 10654.313 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 10 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.070e+43 erg / s\n",
"\tLuminosity absorbed = 3.335e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 8/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10654.313 K\n",
"\tExpected t_inner for next iteration = 10628.190 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 11 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.053e+43 erg / s\n",
"\tLuminosity absorbed = 3.363e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 9/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10628.190 K\n",
"\tExpected t_inner for next iteration = 10644.054 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 12 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.056e+43 erg / s\n",
"\tLuminosity absorbed = 3.420e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 10/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10644.054 K\n",
"\tExpected t_inner for next iteration = 10653.543 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 13 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.062e+43 erg / s\n",
"\tLuminosity absorbed = 3.406e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 11/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
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]
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10653.543 K\n",
"\tExpected t_inner for next iteration = 10647.277 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 14 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.063e+43 erg / s\n",
"\tLuminosity absorbed = 3.369e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 12/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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" 1.08e+04 K \n",
" 1.07e+04 K \n",
" 0.0841 \n",
" 0.0854 \n",
" \n",
" \n",
"
\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10647.277 K\n",
"\tExpected t_inner for next iteration = 10638.875 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 15 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.053e+43 erg / s\n",
"\tLuminosity absorbed = 3.417e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 13/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
]
},
{
"data": {
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" 0 \n",
" 1.11e+04 K \n",
" 1.1e+04 K \n",
" 0.469 \n",
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10638.875 K\n",
"\tExpected t_inner for next iteration = 10655.125 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 16 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.059e+43 erg / s\n",
"\tLuminosity absorbed = 3.445e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 14/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
]
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10655.125 K\n",
"\tExpected t_inner for next iteration = 10655.561 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 17 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.067e+43 erg / s\n",
"\tLuminosity absorbed = 3.372e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 15/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
]
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10655.561 K\n",
"\tExpected t_inner for next iteration = 10636.536 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 18 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.057e+43 erg / s\n",
"\tLuminosity absorbed = 3.365e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 16/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
]
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10636.536 K\n",
"\tExpected t_inner for next iteration = 10641.692 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 19 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.056e+43 erg / s\n",
"\tLuminosity absorbed = 3.405e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\tIteration converged 17/4 consecutive times. (\u001b[1mbase.py\u001b[0m:260)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tPlasma stratification: (\u001b[1mbase.py\u001b[0m:625)\n"
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"text": [
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tCurrent t_inner = 10641.692 K\n",
"\tExpected t_inner for next iteration = 10650.463 K\n",
" (\u001b[1mbase.py\u001b[0m:652)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tSimulation finished in 19 iterations \n",
"\tSimulation took 23.11 s\n",
" (\u001b[1mbase.py\u001b[0m:542)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tStarting iteration 20 of 20 (\u001b[1mbase.py\u001b[0m:444)\n",
"[\u001b[1mtardis.simulation.base\u001b[0m][\u001b[1;37mINFO\u001b[0m ] \n",
"\t\n",
"\tLuminosity emitted = 1.061e+43 erg / s\n",
"\tLuminosity absorbed = 3.401e+42 erg / s\n",
"\tLuminosity requested = 1.059e+43 erg / s\n",
" (\u001b[1mbase.py\u001b[0m:657)\n"
]
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],
"source": [
"from tardis import run_tardis\n",
"\n",
"simulation = run_tardis(\n",
" \"tardis_example.yml\",\n",
" virtual_packet_logging=True,\n",
" show_convergence_plots=True,\n",
" export_convergence_plots=True,\n",
" log_level=\"INFO\",\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### HDF"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"TARDIS can save simulation data to HDF files for later analysis. The code below shows how to load a simulation from an HDF file. This is useful when you want to analyze simulation results without re-running the simulation.\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# import astropy.units as u\n",
"# import pandas as pd\n",
"\n",
"# hdf_fpath = \"add_file_path_here\"\n",
"# with pd.HDFStore(hdf_fpath, \"r\") as hdf:\n",
"# sim = u.Quantity(hdf[\"/simulation\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Calculating Spectral Quantities"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This section demonstrates how to analyze the spectral decomposition (SDEC) output from TARDIS. SDEC helps understand how different atomic species contribute to the formation of spectral features through their emission and absorption processes."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Wavelength and Frequency Grid Setup"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we set up the wavelength and frequency grids for analysis and plotting"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# Get frequency bins from the simulation's real packets spectrum\n",
"plot_frequency_bins = (\n",
" simulation.spectrum_solver.spectrum_real_packets._frequency\n",
")\n",
"\n",
"# Get wavelength array from the simulation's real packets spectrum\n",
"plot_wavelength = simulation.spectrum_solver.spectrum_real_packets.wavelength\n",
"\n",
"# Create frequency array by excluding the last bin edge\n",
"plot_frequency = plot_frequency_bins[:-1]\n",
"\n",
"# Create a boolean mask array of ones with same size as wavelength array\n",
"# This will be used to filter wavelength ranges later\n",
"packet_wvl_range_mask = np.ones(plot_wavelength.size, dtype=bool)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Luminosity Calculations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we calculate emission and absorption luminosities for each atomic species to understand their contributions to the spectrum\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# Calculate emission luminosities for each species\n",
"# Returns a DataFrame with species-wise emission contributions and list of species\n",
"(emission_luminosities_df, emission_species) = calculate_emission_luminosities(\n",
" simulation,\n",
" \"real\", # Use real packets mode\n",
" packet_wvl_range=None, # Use full wavelength range\n",
")\n",
"\n",
"# Calculate absorption luminosities for each species\n",
"# Returns a DataFrame with species-wise absorption contributions and list of species\n",
"(\n",
" absorption_luminosities_df,\n",
" absorption_species,\n",
") = calculate_absorption_luminosities(\n",
" simulation,\n",
" packets_mode=\"real\", # Use real packets mode\n",
" packet_wvl_range=None, # Use full wavelength range\n",
")\n",
"\n",
"# Calculate total luminosities by adding absorption and emission\n",
"# Drop 'no interaction' and 'electron scattering' columns from emission before adding\n",
"total_luminosities_df = (\n",
" absorption_luminosities_df\n",
" + emission_luminosities_df.drop([\"noint\", \"escatter\"], axis=1)\n",
")\n",
"\n",
"# Convert atomic numbers to element symbols for plotting\n",
"species = np.array(list(total_luminosities_df.keys()))\n",
"species_name = [\n",
" atomic_number2element_symbol(atomic_num)\n",
" for atomic_num in species\n",
"]\n",
"species_length = len(species_name)\n",
"\n",
"# Get the modeled spectrum luminosity for the selected wavelength range\n",
"modeled_spectrum_luminosity = (\n",
" simulation.spectrum_solver.spectrum_real_packets.luminosity_density_lambda[\n",
" packet_wvl_range_mask\n",
" ]\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting Species-wise Emission and Absorption Contributions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we will plot the species-wise emission and absorption contributions that we calculated in the previous step using calculate_emission_luminosities() and calculate_absorption_luminosities() respectively. We'll start with packets that had no interaction with the ejecta, followed by electron scattering events, and then contributions from different atomic species. The colorbar will help you to identify the atomic species and their respective contributions to the total luminosity at each wavelength."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Matplotlib"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will now plot the emission contributions from different species. \n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Import required matplotlib modules for visualization\n",
"import matplotlib.cm as cm # For colormaps\n",
"import matplotlib.colors as clr # For color mapping and normalization\n",
"import matplotlib.pyplot as plt # Main plotting interface\n",
"\n",
"# Create figure and axis\n",
"ax = plt.figure(figsize=(12, 7)).add_subplot(111)\n",
"\n",
"# Generate colors for each species using 'jet' colormap\n",
"# The colors will be evenly distributed across the colormap based on number of species\n",
"cmap = plt.get_cmap(\"jet\", species_length)\n",
"color_list = []\n",
"color_values = []\n",
"for species_counter in range(species_length):\n",
" # Calculate normalized color value and store in both lists\n",
" color = cmap(species_counter / species_length)\n",
" color_list.append(color)\n",
" color_values.append(color)\n",
"\n",
"\n",
"# Create a custom colormap for species\n",
"# This will be used in the colorbar to show which color corresponds to which species\n",
"custcmap = clr.ListedColormap(color_values) # Normalize color range\n",
"norm = clr.Normalize(vmin=0, vmax=species_length)\n",
"mappable = cm.ScalarMappable(norm=norm, cmap=custcmap)\n",
"mappable.set_array(np.linspace(1, species_length + 1, 256))\n",
"\n",
"\n",
"# Add colorbar for species representation\n",
"cbar = plt.colorbar(mappable, ax=ax)\n",
"bounds = np.arange(species_length) + 0.5\n",
"cbar.set_ticks(bounds)\n",
"cbar.set_ticklabels(species_name) # Label ticks with species names\n",
"\n",
"# Plot the emission contributions starting with 'no interaction' packets\n",
"lower_level = np.zeros(emission_luminosities_df.shape[0]) # Start at zero\n",
"upper_level = lower_level + emission_luminosities_df.noint.to_numpy()\n",
"ax.fill_between(\n",
" plot_wavelength.value,\n",
" lower_level,\n",
" upper_level,\n",
" color=\"#4C4C4C\", # Dark grey color\n",
" label=\"No interaction\",\n",
")\n",
"\n",
"# Plot electron scattering contribution\n",
"# This is stacked on top of the 'no interaction' contribution\n",
"lower_level = upper_level # Start where 'no interaction' ended\n",
"upper_level = lower_level + emission_luminosities_df.escatter.to_numpy()\n",
"ax.fill_between(\n",
" plot_wavelength.value,\n",
" lower_level,\n",
" upper_level,\n",
" color=\"#8F8F8F\",\n",
" label=\"Electron Scatter Only\",\n",
")\n",
"\n",
"# Plot the emission contributions for each species by stacking them on top of each other.\n",
"# The lower level for each species starts where the previous species ended (upper_level),\n",
"# and the upper level adds that species' emission contribution.\n",
"# Each species gets a unique color from the colormap defined above.\n",
"for species_counter, identifier in enumerate(species):\n",
" lower_level = upper_level\n",
" upper_level = lower_level + emission_luminosities_df[identifier].to_numpy()\n",
"\n",
" ax.fill_between(\n",
" plot_wavelength.value,\n",
" lower_level,\n",
" upper_level,\n",
" color=color_list[species_counter],\n",
" cmap=cmap,\n",
" linewidth=0,\n",
" )\n",
"\n",
"\n",
"# The absorption contributions are plotted below zero, showing how each species\n",
"# absorbs light and reduces the total luminosity. The contributions are stacked\n",
"# downward from zero, with each species getting the same color as its emission above.\n",
"lower_level = np.zeros(absorption_luminosities_df.shape[0])\n",
"for species_counter, identifier in enumerate(species):\n",
" upper_level = lower_level\n",
" lower_level = (\n",
" upper_level - absorption_luminosities_df[identifier].to_numpy()\n",
" )\n",
"\n",
" ax.fill_between(\n",
" plot_wavelength.value,\n",
" upper_level,\n",
" lower_level,\n",
" color=color_list[species_counter],\n",
" cmap=cmap,\n",
" linewidth=0,\n",
" )\n",
"\n",
"\n",
"# Plot the modeled spectrum\n",
"ax.plot(\n",
" plot_wavelength.value,\n",
" modeled_spectrum_luminosity.value,\n",
" \"--b\",\n",
" label=\"Real Spectrum\",\n",
" linewidth=1,\n",
")\n",
"\n",
"# Add labels, legend, and formatting\n",
"ax.legend(fontsize=12)\n",
"ax.set_xlabel(r\"Wavelength $[\\mathrm{\\AA}]$\", fontsize=12)\n",
"ax.set_ylabel(\n",
" r\"$L_{\\lambda}$ [erg $\\mathrm{s^{-1}}$ $\\mathrm{\\AA^{-1}}$]\",\n",
" fontsize=12,\n",
")\n",
"plt.gca()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plotly"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"fillcolor": "#4C4C4C",
"hovertemplate": "(%{x:.2f}, %{y:.3g})",
"mode": "none",
"name": "No interaction",
"stackgroup": "emission",
"type": "scatter",
"x": [
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"source": [
"import plotly.graph_objects as go\n",
"\n",
"# Create figure\n",
"fig = go.Figure()\n",
"\n",
"# By specifying a common stackgroup, plotly will itself add up luminosities,\n",
"# in order, to created stacked area chart\n",
"fig.add_trace(\n",
" go.Scatter(\n",
" x=emission_luminosities_df.index,\n",
" y=emission_luminosities_df.noint,\n",
" mode=\"none\",\n",
" name=\"No interaction\",\n",
" fillcolor=\"#4C4C4C\",\n",
" stackgroup=\"emission\",\n",
" hovertemplate=\"(%{x:.2f}, %{y:.3g})\",\n",
" )\n",
")\n",
"\n",
"fig.add_trace(\n",
" go.Scatter(\n",
" x=emission_luminosities_df.index,\n",
" y=emission_luminosities_df.escatter,\n",
" mode=\"none\",\n",
" name=\"Electron Scatter Only\",\n",
" fillcolor=\"#8F8F8F\",\n",
" stackgroup=\"emission\",\n",
" hoverlabel={\"namelength\": -1},\n",
" hovertemplate=\"(%{x:.2f}, %{y:.3g})\",\n",
" )\n",
")\n",
"\n",
"# The species data comes from the emission_luminosities_df and absorption_luminosities_df DataFrames\n",
"# We plot emissions as positive values stacked above zero\n",
"# And absorptions as negative values stacked below zero\n",
"# This creates a visualization showing how different species contribute to the spectrum\n",
"for (species_counter, identifier), name_of_spec in zip(\n",
" enumerate(species), species_name\n",
"):\n",
" fig.add_trace(\n",
" go.Scatter(\n",
" x=emission_luminosities_df.index,\n",
" y=emission_luminosities_df[identifier],\n",
" mode=\"none\",\n",
" name=name_of_spec + \" Emission\",\n",
" hovertemplate=f\"{name_of_spec:s} Emission \" # noqa: ISC003\n",
" + \"(%{x:.2f}, %{y:.3g}) \",\n",
" fillcolor=pu.to_rgb255_string(color_list[species_counter]),\n",
" stackgroup=\"emission\",\n",
" showlegend=False,\n",
" hoverlabel={\"namelength\": -1},\n",
" )\n",
" )\n",
" # Plot absorption part\n",
" fig.add_trace(\n",
" go.Scatter(\n",
" x=absorption_luminosities_df.index,\n",
" # to plot absorption luminosities along negative y-axis\n",
" y=absorption_luminosities_df[identifier] * -1,\n",
" mode=\"none\",\n",
" name=name_of_spec + \" Absorption\",\n",
" hovertemplate=f\"{name_of_spec:s} Absorption \" # noqa: ISC003\n",
" + \"(%{x:.2f}, %{y:.3g}) \",\n",
" fillcolor=pu.to_rgb255_string(color_list[species_counter]),\n",
" stackgroup=\"absorption\",\n",
" showlegend=False,\n",
" hoverlabel={\"namelength\": -1},\n",
" )\n",
" )\n",
"\n",
"# Plot modeled spectrum\n",
"fig.add_trace(\n",
" go.Scatter(\n",
" x=plot_wavelength.value,\n",
" y=modeled_spectrum_luminosity.value,\n",
" mode=\"lines\",\n",
" line={\n",
" \"color\": \"blue\",\n",
" \"width\": 1,\n",
" },\n",
" name=\"Real Spectrum\",\n",
" hovertemplate=\"(%{x:.2f}, %{y:.3g})\",\n",
" hoverlabel={\"namelength\": -1},\n",
" )\n",
")\n",
"\n",
"# Interpolate [0, 1] range to create bins equal to number of elements\n",
"colorscale_bins = np.linspace(0, 1, num=len(species_name) + 1)\n",
"\n",
"# Create a categorical colorscale [a list of (reference point, color)]\n",
"# by mapping same reference points (excluding 1st and last bin edge)\n",
"# twice in a row (https://plotly.com/python/colorscales/#constructing-a-discrete-or-discontinuous-color-scale)\n",
"categorical_colorscale = []\n",
"for species_counter in range(len(species_name)):\n",
" color = pu.to_rgb255_string(cmap(colorscale_bins[species_counter]))\n",
" categorical_colorscale.append((colorscale_bins[species_counter], color))\n",
" categorical_colorscale.append((colorscale_bins[species_counter + 1], color))\n",
"\n",
"# Create a categorical colorscale for the elements by mapping each species to a color\n",
"coloraxis_options = {\n",
" \"colorscale\": categorical_colorscale,\n",
" \"showscale\": True,\n",
" \"cmin\": 0,\n",
" \"cmax\": len(species_name),\n",
" \"colorbar\": {\n",
" \"title\": \"Elements\",\n",
" \"tickvals\": np.arange(0, len(species_name)) + 0.5,\n",
" \"ticktext\": species_name,\n",
" # to change length and position of colorbar\n",
" \"len\": 0.75,\n",
" \"yanchor\": \"top\",\n",
" \"y\": 0.75,\n",
" },\n",
"}\n",
"\n",
"# Add an invisible scatter point to make the colorbar show up in the plot\n",
"# The point is placed at the middle of the wavelength range with y=0\n",
"# The marker color is set to 0 (first color in colorscale) with opacity=0 to hide it\n",
"# coloraxis_options contains the categorical colorscale mapping species to colors\n",
"scatter_point_idx = pu.get_mid_point_idx(plot_wavelength)\n",
"fig.add_trace(\n",
" go.Scatter(\n",
" x=[plot_wavelength[scatter_point_idx].value],\n",
" y=[0],\n",
" mode=\"markers\",\n",
" name=\"Colorbar\",\n",
" showlegend=False,\n",
" hoverinfo=\"skip\",\n",
" marker=dict(color=[0], opacity=0, **coloraxis_options),\n",
" )\n",
")\n",
"\n",
"# Set label and other layout options\n",
"xlabel = pu.axis_label_in_latex(\"Wavelength\", u.AA)\n",
"ylabel = pu.axis_label_in_latex(\n",
" \"L_{\\\\lambda}\", u.Unit(\"erg/(s AA)\"), only_text=False\n",
")\n",
"fig.update_layout(\n",
" xaxis={\n",
" \"title\": xlabel,\n",
" \"exponentformat\": \"none\",\n",
" },\n",
" yaxis={\"title\": ylabel, \"exponentformat\": \"e\"},\n",
" height=600,\n",
")"
]
}
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