{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Wavelength recalibration with the sky lines (Mendel OH bands)\n", "\n", "## Introduction\n", "\n", "Data can be recalibrated in wavelength easily when one OH sky lines are visible in most parts of the field of view. Cubes observed in the red part of the spectrum (e.g. SN3 filter) are especially interesting in this respect. \n", "\n", "The general idea is to extract integrated spectra at different positions in the field of view and measure the velocity of the sky lines (which should be 0 if the calibration was perfect) (see [Martin et al. 2017a](https://arxiv.org/abs/1707.01366)). \n", "\n", "![skymap-fig0.svg](./skymap-fig0.svg)\n", "\n", "Then the correction map can be infered at each pixel by fitting a model.\n", "\n", "![skymap-fig1.svg](./skymap-fig1.svg)\n", "\n", "The calibration model is based on a simple modeling of the interferometer.\n", "\n", "![coords0.svg](./coords0.svg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## First step: checking the calibration" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# import base class for the manipulation of a SITELLE spectral cube: HDFCube\n", "from orcs.process import SpectralCube\n", "import pylab as pl" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0mmaster.fa09a|INFO| Cube is level 3\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| shape: (2048, 2064, 840)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| wavenumber calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| flux calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| wcs calibration: True\u001b[0m\n" ] } ], "source": [ "# load spectral cube\n", "cube = SpectralCube('/home/thomas/M31_SN3.merged.cm1.1.0.hdf5')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(14500, 15500)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extract and plot a spectrum of a large integrated region. Sky lines should be visible.\n", "spectrum = cube.get_spectrum(50, 50, 20)\n", "pl.figure(figsize=(10,6))\n", "spectrum.plot()\n", "pl.xlim(14500, 15500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### fitting the sky spectrum\n", "\n", "we can also fit the integrated spectrum because there si a large number of sky lines and because we are not interested in a perfect fit (only the velocity is required), we can use a simple 'sinc' model with a fixed fwhm. All the lines are set to share the same velocity parameter and we set an inital guess of the velocity around 80 km/s. This general bias of 80 km/s is known ([Martin et al. 2017b](https://arxiv.org/abs/1706.03230)) and comes from the error made on the real wavelength of the calibration laser (which is falsely considered to be at 453.5 nm)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Velocity: 77.5(1.5)\n" ] }, { "data": { "text/plain": [ "(14500, 15500)" ] }, "execution_count": 4, "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": [ "sky_lines_cm1 = cube.get_sky_lines()\n", "fit_res = spectrum.fit(sky_lines_cm1,\n", " fmodel='sinc',\n", " pos_def='1',\n", " fwhm_def='fixed',\n", " nofilter=False,\n", " pos_cov=80)\n", "\n", "print('Velocity: ', fit_res['velocity_gvar'][0])\n", "pl.figure(figsize=(10,6))\n", "spectrum.plot()\n", "fit_res.get_spectrum().plot(c='red')\n", "pl.xlim(14500, 15500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Second step: Mapping the sky velocity\n", "This process, like other parallel processes may work better if run from a python script with the command. The following script can be used:\n", "\n", "[run_map_sky_velocity.py](./run_map_sky_velocity.py)\n", "\n", "```python\n", "from orcs.process import SpectralCube\n", "if __name__ == \"__main__\": # this is very important when running parallel processes\n", " cube = SpectralCube('/home/thomas/M31_SN3.merged.cm1.1.0.hdf5')\n", " cube.map_sky_velocity(80, div_nb=10, exclude_reg_file_path='m31_exclude.reg', no_fit=False, plot=False) # the mean velocity bias is set around 80 km/s\n", "```\n", "\n", "**Warning**: this process can take a long time because a spectrum is extracted and fitted for each point of a 40x40 grid by default. For a basic example it is recommended to limit the number of grid division to 10x10." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0mmaster.fa09a|INFO| Cube is level 3\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| shape: (2048, 2064, 840)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| wavenumber calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| flux calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| wcs calibration: True\u001b[0m\n", "\u001b[33mmaster.fa09a|WARNING| fitting process already done ! set no_fit=True if you do not want to redo it\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| X range: 0 2048, Y range: 0 2064\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Radius: 30\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| excluding region from file m31_exclude.reg\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| 58 regions to fit\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| 88 sky lines to fit\u001b[0m\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " loading region: Shape : circle ( Number(1861.81818),Number(1876.36364),Number(30.00000) )\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0mmaster.fa09a|INFO| reloading cube\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Cube is level 3\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| shape: (2048, 2064, 840)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| wavenumber calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| flux calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| wcs calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Init of the parallel processing server with 32 threads\u001b[0m\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " [==========] [100%] [completed in 4m33s] " ] }, { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0mmaster.fa09a|INFO| Closing parallel processing server\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| reloading cube\u001b[0m\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\u001b[0mmaster.fa09a|INFO| Cube is level 3\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| shape: (2048, 2064, 840)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| wavenumber calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| flux calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| wcs calibration: True\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| parallel processing closed\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 77.3(2.0)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 75.4(2.0)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 71.3(1.9)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 70.7(2.3)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 71.7(2.8)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 66.7(2.5)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 64.1(2.3)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 58.1(2.3)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 62.6(2.2)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 61.0(2.5)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 74.0(1.8)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 75.5(1.9)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 77.2(2.2)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 72.5(3.1)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 69.7(3.3)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 55.3(2.8)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 65.0(2.9)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 58.9(3.0)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 62.7(2.4)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 60.3(2.3)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 76.4(2.0)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 77.9(2.2)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 73.4(2.6)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 48.3(2.6)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 61.7(2.8)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 78.6(1.9)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 75.4(2.5)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 104.3(3.2)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 65.0(2.7)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 75.6(2.4)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 78.8(2.9)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 65.2(2.4)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 80.8(2.6)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 74.4(3.0)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 69.8(2.3)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 78.5(2.4)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 65.4(2.5)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 65.9(2.2)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 74.6(2.5)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 58.8(2.7)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 67.0(2.2)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 70.6(2.0)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 80.9(2.7)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 80.1(3.5)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 70.8(3.1)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 78.1(2.6)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 70.2(1.8)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 74.5(1.4)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 79.4(2.9)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 79.3(2.7)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 77.5(3.3)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 77.7(3.1)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 76.1(3.5)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 74.7(2.9)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 75.2(2.2)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 75.7(1.7)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 71.6(1.5)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Velocity of the first line (km/s): 73.8(1.3)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| x: [ 186.18181818 186.18181818 186.18181818 186.18181818 186.18181818\n", " 186.18181818 186.18181818 186.18181818 186.18181818 186.18181818\n", " 372.36363636 372.36363636 372.36363636 372.36363636 372.36363636\n", " 372.36363636 372.36363636 372.36363636 372.36363636 372.36363636\n", " 558.54545455 558.54545455 558.54545455 558.54545455 558.54545455\n", " 744.72727273 744.72727273 744.72727273 744.72727273 930.90909091\n", " 930.90909091 930.90909091 1117.09090909 1117.09090909 1117.09090909\n", " 1303.27272727 1303.27272727 1303.27272727 1489.45454545 1489.45454545\n", " 1489.45454545 1489.45454545 1675.63636364 1675.63636364 1675.63636364\n", " 1675.63636364 1675.63636364 1675.63636364 1861.81818182 1861.81818182\n", " 1861.81818182 1861.81818182 1861.81818182 1861.81818182 1861.81818182\n", " 1861.81818182 1861.81818182 1861.81818182]\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| y: [ 187.63636364 375.27272727 562.90909091 750.54545455 938.18181818\n", " 1125.81818182 1313.45454545 1501.09090909 1688.72727273 1876.36363636\n", " 187.63636364 375.27272727 562.90909091 750.54545455 938.18181818\n", " 1125.81818182 1313.45454545 1501.09090909 1688.72727273 1876.36363636\n", " 187.63636364 375.27272727 562.90909091 1688.72727273 1876.36363636\n", " 187.63636364 375.27272727 1688.72727273 1876.36363636 187.63636364\n", " 375.27272727 1876.36363636 187.63636364 1688.72727273 1876.36363636\n", " 187.63636364 1688.72727273 1876.36363636 187.63636364 1501.09090909\n", " 1688.72727273 1876.36363636 187.63636364 375.27272727 1313.45454545\n", " 1501.09090909 1688.72727273 1876.36363636 187.63636364 375.27272727\n", " 562.90909091 750.54545455 938.18181818 1125.81818182 1313.45454545\n", " 1501.09090909 1688.72727273 1876.36363636]\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| v: [ 77.30690122 75.42723292 71.29603104 70.74703947 71.71676527\n", " 66.74086248 64.11377386 58.053346 62.58297622 61.04474574\n", " 74.01054084 75.52157459 77.22636344 72.5418529 69.69014005\n", " 55.32754889 64.99891349 58.9375885 62.70848958 60.32799584\n", " 76.36498222 77.90017749 73.41305969 48.25166759 61.66747683\n", " 78.61262775 75.37893981 104.25308835 65.04902046 75.61380729\n", " 78.84037233 65.16314474 80.77022818 74.38134783 69.81025738\n", " 78.51941433 65.42526138 65.85118873 74.60799346 58.79111662\n", " 66.95923754 70.63770242 80.9106735 80.12792716 70.77220517\n", " 78.1282894 70.221003 74.52473849 79.4390245 79.2954783\n", " 77.52699254 77.7411457 76.13299069 74.74027681 75.16744211\n", " 75.65534916 71.59209525 73.79256937]\u001b[0m\n", "\u001b[33mmaster.fa09a|WARNING| /home/thomas/Astro/Python/ORB/Orcs/orcs/utils.py:212: RuntimeWarning: invalid value encountered in greater\n", " vel[vel > np.nanpercentile(vel, 95)] = np.nan\n", "\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| First laser wavelentgh calibration estimation: 543.3684614763755 nm\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Angle at the center of the frame: 15.494273258242744\u001b[0m\n", "\u001b[33mmaster.fa09a|WARNING| /home/thomas/Astro/Python/ORB/Orb/orb/utils/image.py:1191: RuntimeWarning: invalid value encountered in less\n", " calib_laser_map[np.nonzero(calib_laser_map < value_min)] = np.nan\n", "\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > Binning calibration map\u001b[0m\n", "\u001b[33mmaster.fa09a|WARNING| /home/thomas/Astro/Python/ORB/Orb/orb/utils/image.py:1074: RuntimeWarning: Mean of empty slice\n", " return np.squeeze(np.nanmean(np.nanmean(im_view, axis=3), axis=1))\n", "\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > Calibration laser map fit\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > First fit on the central portion of the calibration laser map (30.0% of the total size)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > Calibration laser map fit parameters:\n", " distance to mirror: 23.681739781375743 cm \n", " X angle from the optical axis to the center: 0.0 degrees (Fixed)\n", " Y angle from the optical axis to the center: 15.501669386747308 degrees \n", " Tip-tilt angle of the detector along X: 0.0 degrees (Fixed)\n", " Tip-tilt angle of the detector along Y: 0.0 degrees (Fixed)\n", " Rotation angle of the detector: 0.0 degrees (Fixed)\n", " Calibration laser wavelength: 543.3684614763755 nm (Fixed)\n", " Error on fit: mean -1.2212972352744125e-06, std 0.049408481925003994 (in nm)\n", " Error on fit: mean -0.0006742923017409128, std 27.27899322170293 (in km/s)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > Second fit on the central portion of the calibration laser map (30.0% of the total size)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > Calibration laser map fit parameters:\n", " distance to mirror: 23.66483634860634 cm \n", " X angle from the optical axis to the center: -0.44808541110452904 degrees \n", " Y angle from the optical axis to the center: 15.495141935947101 degrees \n", " Tip-tilt angle of the detector along X: 0.41142114590561524 degrees \n", " Tip-tilt angle of the detector along Y: -1.41769820240921 degrees \n", " Rotation angle of the detector: 0.0 degrees (Fixed)\n", " Calibration laser wavelength: 543.3684614763755 nm (Fixed)\n", " Error on fit: mean -3.798378046820534e-07, std 0.0007481455641519504 (in nm)\n", " Error on fit: mean -0.0002097128366541575, std 0.41305980224865047 (in km/s)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > Third fit on a larger portion of the map (50.0% of the total size)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > Calibration laser map fit parameters:\n", " distance to mirror: 23.702051086393453 cm \n", " X angle from the optical axis to the center: -0.44853898242361845 degrees \n", " Y angle from the optical axis to the center: 15.495504360876263 degrees \n", " Tip-tilt angle of the detector along X: 0.25839602728725264 degrees \n", " Tip-tilt angle of the detector along Y: -0.8882041482610137 degrees \n", " Rotation angle of the detector: 0.0 degrees (Fixed)\n", " Calibration laser wavelength: 543.3684614763755 nm (Fixed)\n", " Error on fit: mean -2.4518726781407214e-06, std 0.003041168391745898 (in nm)\n", " Error on fit: mean -0.0013537072089970703, std 1.6790641750624251 (in km/s)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > Zernike polynomials fit of the residual wavefront\u001b[0m\n", "\u001b[33mmaster.fa09a|WARNING| /home/thomas/Astro/Python/ORB/Orb/orb/ext/zern.py:300: FutureWarning: `rcond` parameter will change to the default of machine precision times ``max(M, N)`` where M and N are the input matrix dimensions.\n", "To use the future default and silence this warning we advise to pass `rcond=None`, to keep using the old, explicitly pass `rcond=-1`.\n", " wf_zern_vec = np.linalg.lstsq((zern_basismat[:, grid_vec] * weight).T, wf_w.ravel())[0]\n", "\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Standard deviation of the residual: 1.8507972727041484e-05\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Median relative error (err/val)): 0.05%\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > final error (std on 50.0% of the total size): 1.763e-05 nm, 9.733e-03 km/s\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| > New calibration laser map fit parameters:\n", " distance to mirror: 23.67734145891187 cm\n", " X angle from the optical axis to the center: 0.1594504146076437 degrees\n", " Y angle from the optical axis to the center: 15.503103983197793 degrees\n", " Tip-tilt angle of the detector along X: 4.033689007793616 degrees\n", " Tip-tilt angle of the detector along Y: -0.3016934072811556 degrees\n", " Rotation angle of the detector: 2.2124798963045356 degrees\n", " Calibration laser wavelength: 543.3680110441915 nm\n", "\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| fit residual std (in km/s):\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| median error on the data (in km/s)\u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Data written as ./M31_SN3/M31_SN3.calibration_laser_map.fits in 0.33 s \u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Data written as ./M31_SN3/M31_SN3.wavefront_map.fits in 0.23 s \u001b[0m\n", "\u001b[0mmaster.fa09a|INFO| Data written as ./M31_SN3/M31_SN3.skymap.fits in 0.26 s \u001b[0m\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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dxaQHoWrrUt9uN+ZxjpW0Ur5vtC9wXr6qvhg4Qele65tIJ81WxpJCw2OknflLLJ1al8WVpKu2Tp0BfC3fp0Pp+Y/987CLSPfBdlB64v4rNN9nx5L2kydIge+kZaip3jTS9jpa6U/1alfl1zYYdzLpBLJ1fp1B2kd3h5cfkuxXsjFwMukvDGp+QDp4942l/7LiJmDH2lW5pG1IXeK3598PLcz79aRnHH6dh62j9CdPq+VjbXfSMxHXtjlvKT03Mjr/PiYHaCI9RHU/8Emlh4LHka6KX74/Kml0nl7ASnn6+m15OHBW8Y026q6ZAPw8dycXp99f6T6qlO4jH11o7yNyW9e21c2kZ0SOb2PamsNIoWWJLvy8nRteFEnaXNLOuf3+QbpKL54PBmptExEP1OrKbbgD6XzQruuBvwHH5W2zPemD/uoG47bcd0lX5fsq/QnkqqTj8eJ8lbuYdG76iqRV83L2J/Vk1dZ7DOl8C7CyCs8hKT34PDav44dJ5+HarbEjaL2djlT+axWl54aO45UHGL9IukCpTXsZ6ULyI3n8psdMG+vUtD0kjcufa2Nyux9Kej7l5XZv1R6k4/FISa+T9DrSE/3F42mlPP4KpPP6GC35nTzvoZ1nBiKi5YvUlbprg/cHSIlmVP79XaTk8xRwylDjF97fjnTv7EnSh9RUUsJdP78/n9SNMQ3YIk9zBHBDYR575GXPJ3W1XwccWRh+Wp7HLNK9vGLdnyYddPNIG/Y8UncZpANlTou2CeANhd/PKkz7co2kFHo7KcQ8TtpxVsvDNiOFlHmkpz4h9RLU1v1O4H2FZfTlNlpA2km+Afy6RU0rkq4oF5CuJo4tblNSN+Q5hfF3JSXH2u+j8jw3atIGa5O66l7XqM0K0w8U3rsB+HD+eQXSn57dTeo6uxc4qTDuBNIJ7AnSAd+wdlJ3/qV5Hg+QPkxebovitmlS51XAF1ps621ID2I9Q7o/t01h2BeAq5pMV9++/07qzXma1Pvx/0hdlPDK1eA/8r5Sex1amP4o0n68kPTnbp8rDPta3haL87+TgbUK+811pP1sAXAH8G91tbaa9wCvPIFfexX3k61Jx+hTpH38QmCdwvBpDabfqTD8XbnusXU1tVP3mDx8lwbt/7O87ywi9SIe3WIbT2PJ88aQ0+b3P9bg/VowaLSct5KubheSzntXABvkYWuRjo+ngFvye5uSHrJeBFxDOscV96kZxX2kwfK2BP6Q27f+fNL2vpvf+xDpeFxMOt7GF4aNJz33sTiP86EG58slXoVhx5DO/4vz+g+W2E4/Jp3DF5POD98CxjSZ9iyWPA80PWbaXKeG7ZH325vyNp4H/BF4b4n22IT0rMcTeR/5JbBZ3XrUT39EYfgdwFbN2rD2Uh7ZllOSvgGsFxETeljDScCjEfG9IUc2qwClb6i8MCIaXWmbjRil5x4Oi4gPDDmuA8DyJXf7jyYlvLeTuuCPjIhl/esMMzOrEH8b3/JnLKlrcgPSdxh8m6XvS5qZmbXkHgAzM7MK8n8HbGZmVkG+BdAFa6+9dgwMDPS6DDOz5cr06dMfj4i+XtfxWuUA0AUDAwPcfPPNvS7DzGy5IqnMtx5aSb4FYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAUFL+rzxvLbwWSDqm13WZmZmV4e8BKCki7ib916fk/3/578AlPS3KzMysJPcALJtdgHsjwl9WYWZmyxX3ACybg0n/M99SJE0EJgL09/d3syYzBiZNbWu82Sfv/Zpatpm1zz0AHZI0GtgPuLDR8IiYHBGDETHY1+evsjYzs1cXB4DO7QncEhGP9LoQMzOzshwAOncITbr/zczMXu0cADogaRXgvcDFva7FzMysE34IsAMR8TSwVq/rMDMz65R7AMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHAA6IGmcpIsk3SVppqR39bomMzOzMkb1uoDl1PeBX0bEQZJGA6v0uiAzM7MyHABKkrQ68G7gCICIeA54rpc1mZmZleUAUN6mwGPAjyVtBUwHPhsRi4sjSZoITATo7+/vepFm7RiYNLXXJZhZj/gZgPJGAdsCP4iIbYDFwKT6kSJickQMRsRgX19ft2s0MzNryQGgvDnAnIi4Mf9+ESkQmJmZLTccAEqKiIeBByVtnt/aBbizhyWZmZmV5mcAOvMZYEr+C4D7gI/0uB4zM7NSHAA6EBG3AoO9rsPMzKxTvgVgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkGjel3A8kjSbGAh8CLwQkQM9rYiMzOzchwAOvcvEfF4r4swMzPrhG8BmJmZVZADQGcC+JWk6ZImNhpB0kRJN0u6+bHHHutyeWZmZq05AHRm+4jYFtgT+LSkd9ePEBGTI2IwIgb7+vq6X6GZmVkLDgAdiIiH8r+PApcA7+htRWZmZuU4AJQkaVVJY2s/A7sBf+ltVWZmZuX4rwDKWxe4RBKk9js3In7Z25LMzMzKcQAoKSLuA7bqdR1mZmbLwrcAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcADokaUVJf5Z0Ra9rMTMzK8sBoHOfBWb2uggzM7NOOAB0QNJGwN7AD3tdi5mZWSdG9bqA5dT3gGOBsc1GkDQRmAjQ39/fpbLs1WZg0tRel2Bm1pB7AEqStA/waERMbzVeREyOiMGIGOzr6+tSdWZmZu1xAChve2A/SbOB84CdJZ3T25LMzMzKcQAoKSKOi4iNImIAOBi4NiI+3OOyzMzMSnEAMDMzqyA/BLgMImIaMK3HZZiZmZXmHgAzM7MKcgAwMzOrIAcAMzOzCnIAMDMzqyAHADMzswpyADAzM6sgBwAzM7MKcgAwMzOrIAcAMzOzCnIAMDMzqyAHADMzswpyADAzM6sgBwAzM7MKcgAwMzOrIAcAMzOzCnIAMDMzqyAHADMzswpyADAzM6sgBwAzM7MKcgAwMzOrIAcAMzOzCnIAKEnSGEl/knSbpBmSvtzrmszMzMoa1esClkPPAjtHxCJJKwE3SLoqIv7Y68LMzMza5QBQUkQEsCj/ulJ+Re8qMjMzK88BoAOSVgSmA28ATouIGxuMMxGYCNDf39/dAs2WAwOTpg7r/GafvPewzs/stc7PAHQgIl6MiK2BjYB3SHpLg3EmR8RgRAz29fV1v0gzM7MWHACWQUTMA6YBe/S4FDMzs1IcAEqS1CdpXP75dcCuwF29rcrMzKwcPwNQ3vrA2fk5gBWACyLiih7XZGZmVooDQEkRcTuwTa/rMDMzWxa+BWBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABQkqSNJf1G0kxJMyR9ttc1mZmZlTWq1wUsh14APhcRt0gaC0yXdE1E3NnrwszMzNrlHoCSImJuRNySf14IzAQ27G1VZmZm5TgALANJA8A2wI29rcTMzKwc3wLokKTVgJ8Dx0TEggbDJwITAfr7+7tcnXViYNLUtsedffLeI1iJdaLM9muHt7G91rkHoAOSViJ9+E+JiIsbjRMRkyNiMCIG+/r6ulugmZnZEBwASpIk4ExgZkR8p9f1mJmZdcIBoLztgcOAnSXdml979booMzOzMvwMQEkRcQOgXtdhZma2LNwDYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgBmZmYV5ABgZmZWQQ4AZmZmFeQAYGZmVkEOAGZmZhXkAGBmZlZBDgAdkPQjSY9K+kuvazEzM+uEA0BnzgL26HURZmZmnXIA6EBEXA882es6zMzMOjWq1wW8VkmaCEwE6O/v73E1r00Dk6a2Nd7sk/ce4UrstWgk9q/hnqePAVsW7gEYIRExOSIGI2Kwr6+v1+WYmZktwQHAzMysghwAzMzMKsgBoAOSfgb8Adhc0hxJH+t1TWZmZmX4IcAORMQhva7BzMxsWbgHwMzMrIIcAMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHADMzMwqyAHAzMysghwAzMzMKsgBwMzMrIIcAMzMzCrIAcDMzKyCHAA6IGkPSXdLmiVpUq/rMTMzK8sBoCRJKwKnAXsCWwCHSNqit1WZmZmV4wBQ3juAWRFxX0Q8B5wH7N/jmszMzEpRRPS6huWKpIOAPSLiyPz7YcB2EXFU3XgTgYn5182Buztc5NrA4x1OO5JcVzmuqxzXVc5rta7XR0TfcBVjSxrV6wKWQ2rw3lIpKiImA5OXeWHSzRExuKzzGW6uqxzXVY7rKsd1WSd8C6C8OcDGhd83Ah7qUS1mZmYdcQAo7yZgM0mbSBoNHAxc1uOazMzMSvEtgJIi4gVJRwFXAysCP4qIGSO4yGW+jTBCXFc5rqsc11WO67LS/BCgmZlZBfkWgJmZWQU5AJiZmVWQA8CrgKR/lTRD0kuSBuuGHZe/cvhuSbs3mX4TSTdKukfS+fnhxOGu8XxJt+bXbEm3NhlvtqQ78ng3D3cdDZZ3gqS/F2rbq8l4Xf36ZknfknSXpNslXSJpXJPxutJeQ62/pJXzNp6V96WBkaqlsMyNJf1G0sy8/3+2wTg7SZpf2L5fGum68nJbbhclp+T2ul3Stl2oafNCO9wqaYGkY+rG6Vp7SfqRpEcl/aXw3nhJ1+Rz0TWS1mwy7YQ8zj2SJoxUjTaEiPCrxy/gzaQvC5oGDBbe3wK4DVgZ2AS4F1ixwfQXAAfnn88APjnC9X4b+FKTYbOBtbvYdicA/zHEOCvmttsUGJ3bdIsRrms3YFT++RvAN3rVXu2sP/Ap4Iz888HA+V3YdusD2+afxwJ/bVDXTsAV3dqf2t0uwF7AVaTvBXkncGOX61sReJj0RTk9aS/g3cC2wF8K730TmJR/ntRovwfGA/flf9fMP6/Z7W3sV7gH4NUgImZGRKNvCtwfOC8ino2I+4FZpK8ifpkkATsDF+W3zgYOGKla8/I+APxspJYxArr+9c0R8auIeCH/+kfS90X0Sjvrvz9p34G0L+2St/WIiYi5EXFL/nkhMBPYcCSXOYz2B34SyR+BcZLW7+LydwHujYgHurjMJUTE9cCTdW8X96Nm56LdgWsi4smIeAq4BthjxAq1phwAXt02BB4s/D6HpU+QawHzCh82jcYZTjsCj0TEPU2GB/ArSdPz1yF3w1G5G/ZHTboc22nHkfRR0tViI91or3bW/+Vx8r40n7RvdUW+5bANcGODwe+SdJukqyRt2aWShtouvd6nDqZ5CO9Fe9WsGxFzIQU8YJ0G4/S67Szz9wB0iaT/D6zXYNDxEXFps8kavFf/d5ttfTVxO9qs8RBaX/1vHxEPSVoHuEbSXflKoWOt6gJ+AHyVtM5fJd2e+Gj9LBpMu8x//9pOe0k6HngBmNJkNsPeXo1KbfDeiO1HZUlaDbw1lc0AAAKESURBVPg5cExELKgbfAupm3tRfr7jF8BmXShrqO3Sy/YaDewHHNdgcK/aq4yetZ0tyQGgSyJi1w4ma+drhx8ndT+OylduHX818VA1ShoFvB94W4t5PJT/fVTSJaTu52X6QGu37ST9F3BFg0Ej8vXNbbTXBGAfYJeIaHiCG4n2aqCd9a+NMydv5zVYunt32ElaifThPyUiLq4fXgwEEXGlpNMlrR0RI/of37SxXXr5leB7ArdExCP1A3rVXgWPSFo/IubmWyKPNhhnDulZhZqNSM8/WZf5FsCr22XAwfkJ7U1ISf5PxRHyB8tvgIPyWxOAZj0Ky2pX4K6ImNNooKRVJY2t/Ux6EO4vjcYdLnX3Xd/XZHld//pmSXsAnwf2i4inm4zTrfZqZ/0vI+07kPala5uFluGSnzE4E5gZEd9pMs56tWcRJL2DdM56YoTrame7XAYcnv8a4J3A/FrXdxc07YXrRXvVKe5Hzc5FVwO7SVoz37LbLb9n3dbrpxD9CkgfXHOAZ4FHgKsLw44nPcF9N7Bn4f0rgQ3yz5uSgsEs4EJg5RGq8yzgE3XvbQBcWajjtvyaQeoKH+m2+ylwB3A76eSzfn1d+fe9SE+Z39ulumaR7nPeml9n1NfVzfZqtP7AV0gBBWBM3ndm5X1p0y600Q6krt/bC+20F/CJ2n4GHJXb5jbSw5T/3IW6Gm6XuroEnJbb8w4Kf70zwrWtQvpAX6PwXk/aixRC5gLP5/PXx0jPjfwauCf/Oz6POwj8sDDtR/O+Ngv4SDfazq+lX/4qYDMzswryLQAzM7MKcgAwMzOrIAcAMzOzCnIAMDMzqyAHADMzswpyADAzM6sgBwAzM7MK+m/bIxeXEFBOAAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# once the fit is done, you can see the results with the following\n", "cube = SpectralCube('/home/thomas/M31_SN3.merged.cm1.1.0.hdf5') # it is always better to reload the data cube right before running a parallel process\n", "cube.map_sky_velocity(80, div_nb=10, exclude_reg_file_path='m31_exclude.reg', no_fit=False) # the mean velocity bias is set around 80 km/s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ouputs\n", "\n", "The most important output is the skymap which gives the modelized velocity of the sky in the field of view and permit to correct the measured velocities in the cube.This map is named `*skymap.fits`. You can add it to the obtained velocity maps to correct the velocity.\n", "\n", "In this particular case this is `M31_SN3/M31_SN3.skymap.fits`\n", "\n", "The histogram above shows the difference between the measured velocity and the fitted velocity at each valid data point.\n", "\n", "You can see that there are some data points at the center of the field which were excluded from the fit. This comes from the fact that M31 is very bright at the center and the sky lines are lost in the noise produced by the high continuum background. Modelling the interferometer makes possible to estimate the velocity of the lines at the center of the field where no velocity measurement could be done. And the result is stricking, it works particularly well even if the case of M31 ([Martin et al. 2017a](https://arxiv.org/abs/1707.01366))\n", "\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import orb.utils.io\n", "skymap = orb.utils.io.read_fits('./M31_SN3/M31_SN3.skymap.fits')\n", "pl.imshow(skymap.T, origin='bottom')\n", "pl.grid()\n", "cb = pl.colorbar()\n", "cb.set_label('velocity error (km/s)')" ] }, { "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" }, "toc": { "colors": { "hover_highlight": "#DAA520", "navigate_num": "#000000", "navigate_text": "#333333", "running_highlight": "#FF0000", "selected_highlight": "#FFD700", "sidebar_border": "#EEEEEE", "wrapper_background": "#FFFFFF" }, "moveMenuLeft": true, "nav_menu": { "height": "154px", "width": "252px" }, "navigate_menu": true, "number_sections": true, "sideBar": true, "threshold": 4, "toc_cell": false, "toc_section_display": "block", "toc_window_display": false, "widenNotebook": false } }, "nbformat": 4, "nbformat_minor": 4 }