{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Constraining line ratios\n", "\n", "Some line doublets (e.g. [NII]6548,6583, [OIII]4959,5007) have known line ratios which then should be constrained to inject more information and optimize the unceratinty on the best fit parameters by minimizing the number of free parameters (especially if the SNR is low and if small variations of the ratio could not be measured anyway)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0mmaster.03e73|INFO| Cube is level 3\u001b[0m\n", "\u001b[0mmaster.03e73|INFO| shape: (2048, 2064, 840)\u001b[0m\n", "\u001b[0mmaster.03e73|INFO| wavenumber calibration: True\u001b[0m\n", "\u001b[0mmaster.03e73|INFO| flux calibration: True\u001b[0m\n", "\u001b[0mmaster.03e73|INFO| wcs calibration: True\u001b[0m\n" ] } ], "source": [ "# import base class for the manipulation of a SITELLE spectral cube: HDFCube\n", "from orcs.process import SpectralCube\n", "import pylab as pl\n", "# load spectral cube\n", "cube = SpectralCube('/home/thomas/M31_SN3.merged.cm1.1.0.hdf5')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit with no amplitude constraint" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=== Fit results ===\n", "lines: ['[NII]6548', 'H3', '[NII]6584'], fmodel: gaussian\n", "iterations: 67, fit time: 8.44e-02 s\n", "Velocity (km/s): [-295.6(1.1) -295.6(1.1) -295.6(1.1)] \n", "Flux: [4.62(57)e-15 1.410(57)e-14 1.561(57)e-14]\n", "Broadening (km/s): [nan +- nan nan +- nan nan +- nan]\n", "\n", "[NII] flux ratio 3.3796131687016837\n" ] }, { "data": { "text/plain": [ "(14500, 15500)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum = cube.get_spectrum(998, 1198, 2)\n", "fit = spectrum.fit(['[NII]6548', 'Halpha', '[NII]6583'],\n", " fmodel='gaussian',\n", " pos_cov=-350, \n", " pos_def=['1'],\n", " fwhm_def='fixed')\n", "\n", "\n", "print(fit)\n", "print('[NII] flux ratio', fit['flux'][2]/fit['flux'][0])\n", "\n", "pl.figure(figsize=(10,6))\n", "spectrum.plot(ls=':', c='black')\n", "fit.get_spectrum().plot(ls='-', c='orange')\n", "pl.xlim(14500, 15500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit with naive amplitude ratio constraint\n", "\n", "Only the amplitude parameter can be constrained but not the flux (flux is a function of fwhm, broadening and amplitude). However, the natural axis of interferometric spectra is in wavenumber so that their fwhm (instrumental line shape) is constant in wavenumber. It means that, in wavelength (which is the axis on which the flux is evaluated when the flux unit are erg/cm2/s/A), for a given amplitude the flux will also depend on the wavelength. i.e. for a given amplitude ratio of 3 between two lines, the flux ratio will be slightly different from 3. \n", "\n", "This problem will be answered next. For the moment we will see how we can constraint the amplitude ratio between two lines. When two lines are covarying in amplitude, the covariance parameter will be multiplicative over the initial guess of the lines amplitude. We can thus set a line to a guessed amplitude of 1 and the other at 3 and their amplitude ratio will always be 3. The covarying parameter which is free will multiply both lines by e.g. 3.2e-17 and the first line will have a final amplitude of 3.2e-17 while the second one will have a final amplitude of 9.6e-17." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=== Fit results ===\n", "lines: ['[NII]6548', 'H3', '[NII]6584'], fmodel: gaussian\n", "iterations: 61, fit time: 7.80e-02 s\n", "Velocity (km/s): [-295.6(1.1) -295.6(1.1) -295.6(1.1)] \n", "Flux: [5.10(18)e-15 1.410(57)e-14 1.546(54)e-14]\n", "Broadening (km/s): [nan +- nan nan +- nan nan +- nan]\n", "\n", "[NII] amplitude ratio 3.0\n", "[NII] flux ratio 3.0325248184327562\n" ] }, { "data": { "text/plain": [ "(14500, 15500)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum = cube.get_spectrum(998, 1198, 2)\n", "fit = spectrum.fit(['[NII]6548', 'Halpha', '[NII]6583'],\n", " fmodel='gaussian',\n", " pos_cov=-350, \n", " pos_def=['1'],\n", " fwhm_def='fixed',\n", " amp_def=['1', '2', '1'],\n", " amp_guess=[1, 1, 3])\n", "\n", "\n", "print(fit)\n", "\n", "print('[NII] amplitude ratio', fit['lines_params'][2,1]/fit['lines_params'][0,1])\n", "print('[NII] flux ratio', fit['flux'][2]/fit['flux'][0])\n", "\n", "pl.figure(figsize=(10,6))\n", "spectrum.plot(ls=':', c='black')\n", "fit.get_spectrum().plot(ls='-', c='orange')\n", "pl.xlim(14500, 15500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit with a flux ratio constraint\n", "\n", "In the preceding example you can see that the amplitude ratio is 3 but the flux ratio (which is generally the parameter we want to constraint) is not exactly 3. To compute the amplitude ratio you must set to obtain a flux ratio of 3 you can use the method ``cube.get_amp_ratio_from_flux_ratio`` and use its output to set the correct amplitude ratio." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.967824020860382" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "amp_ratio = cube.get_amp_ratio_from_flux_ratio('[NII]6583', '[NII]6548', 3)\n", "amp_ratio" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "=== Fit results ===\n", "lines: ['[NII]6548', 'H3', '[NII]6584'], fmodel: gaussian\n", "iterations: 61, fit time: 7.91e-02 s\n", "Velocity (km/s): [-295.6(1.1) -295.6(1.1) -295.6(1.1)] \n", "Flux: [5.15(18)e-15 1.410(57)e-14 1.544(54)e-14]\n", "Broadening (km/s): [nan +- nan nan +- nan nan +- nan]\n", "\n", "[NII] amplitude ratio 2.967824020860382\n", "[NII] flux ratio 3.0\n" ] }, { "data": { "text/plain": [ "(14500, 15500)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "spectrum = cube.get_spectrum(998, 1198, 2)\n", "fit = spectrum.fit(['[NII]6548', 'Halpha', '[NII]6583'],\n", " fmodel='gaussian',\n", " pos_cov=-350, \n", " pos_def=['1'],\n", " fwhm_def='fixed',\n", " amp_def=['1', '2', '1'],\n", " amp_guess=[1, 1, amp_ratio])\n", "\n", "\n", "print(fit)\n", "\n", "print('[NII] amplitude ratio', fit['lines_params'][2,1]/fit['lines_params'][0,1])\n", "print('[NII] flux ratio', fit['flux'][2]/fit['flux'][0])\n", "\n", "pl.figure(figsize=(10,6))\n", "spectrum.plot(ls=':', c='black')\n", "fit.get_spectrum().plot(ls='-', c='orange')\n", "pl.xlim(14500, 15500)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 4 }