{ "cells": [ { "cell_type": "markdown", "id": "educational-angel", "metadata": {}, "source": [ "# Astrometric observation simulations with MICADO and SCAO\n", "\n", "In this eample we demonstate the sub-pixel precision of ScopeSim simulation by creating a grid of moving stars and simulating observations of two epochs.\n", "The second part then applies the same workflow to the motions of stars in a star cluster.\n", "For the sake of computational speed we use the ``MICADO`` package.\n", "We use the wide-field mode (4 mas / pixel) so that the sub-pixel motions of the stars are visible in the flux distribution of the PSF cores." ] }, { "cell_type": "code", "execution_count": 1, "id": "dangerous-civilization", "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import datetime\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm\n", "from astropy import units as u\n", "\n", "import scopesim as sim\n", "import scopesim_templates as sim_tp" ] }, { "cell_type": "markdown", "id": "durable-cheese", "metadata": {}, "source": [ "As always, the first step is to make sure all instrument packages are present in the working directory.\n", "The assumption is that SCAO observations will use the MICADO internal SCAO system. \n", "Hence the MORFEO package is not required for this optical models.\n", "\n", " sim.download_packages([\"Armazones\", \"ELT\", \"MORFEO\", \"MICADO\"])\n", " \n", ".. note:: In ScopeSim v0.5 both download_packages (new format) and download_package (old format) exist.\n", "\n", "If we would like to keep the instrument packages in a separate directory, we can set the following config value:\n", "\n", " sim.rc.__config__[\"!SIM.file.local_packages_path\"] = \"path/to/packages\"" ] }, { "cell_type": "markdown", "id": "friendly-quest", "metadata": {}, "source": [ "## Set up a source with 4 stars in a grid pattern\n", "\n", "For the first part of this exercise we create a grid of stars seperated by 32 mas.\n", "The ``ScopeSim_templates`` pacakge has a helper function for making griods of stars in the ``basic.stars`` submodule:" ] }, { "cell_type": "code", "execution_count": 2, "id": "appreciated-english", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['A0V']\n" ] }, { "data": { "text/plain": [ "" ] }, "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": [ "stars = sim_tp.star_grid(n=4, mmin=15, mmax=15, filter_name=\"Ks\", separation=0.032)\n", "\n", "plt.scatter(stars.fields[0][\"x\"], stars.fields[0][\"y\"])" ] }, { "cell_type": "markdown", "id": "lesser-attraction", "metadata": {}, "source": [ "## Set up the MICADO system for SCAO 4mas Pa-beta observations\n", "\n", "The next step is to set up the ``MICADO`` optical system using the ``SCAO`` and wide-field optics (``IMG_4mas``) modes.\n", "As we know in advance that we want to use the Pa-Beta filter, we can set this parameter by passing a dictionary to the ``properties=`` keyword.\n", "\n", "Additionally, we are only interested in a small section of the detector around where the 4 stars will be located.\n", "We can therefore set our Detector to only read out the desired window area.\n", "The required \"!-bang\" string keywords for this are ``!DET.width`` and ``!DET.height`` (given in units of pixels).\n", "\n", "As we are interested in the sub-pixel movements of the stars, it is also important to set the ``!SIM.sub_pixel.flag`` to True\n", "\n", "Given that we are observing at a non-standard broadband filter, we need to instruct the ``OpticalTrain`` to adjust the PSF strehl ratio.\n", "This is done with the ``!INST.psf`` dictionary." ] }, { "cell_type": "code", "execution_count": 3, "id": "freelance-custody", "metadata": {}, "outputs": [], "source": [ "observation_dict = {\n", " \"!OBS.filter_name_pupil\": \"Pa-beta\",\n", " \"!OBS.filter_name_fw1\": \"open\",\n", " \"!OBS.filter_name_fw2\": \"open\", \n", " \"!INST.filter_name\": \"Pa-beta\",\n", " \"!OBS.ndit\": 20, \n", " \"!OBS.dit\": 3,\n", "\n", " \"!OBS.instrument\": \"MICADO\",\n", " \"!OBS.catg\": \"SCIENCE\",\n", " \"!OBS.tech\": \"IMAGE\",\n", " \"!OBS.type\": \"OBJECT\",\n", " \"!OBS.mjdobs\": datetime.datetime(2022, 1, 1, 2, 30, 0)\n", "}\n", "\n", "\n", "cmd = sim.UserCommands(\n", " use_instrument=\"MICADO\",\n", " set_modes=[\"SCAO\", \"IMG_4mas\"],\n", " properties=observation_dict,\n", ")\n", "cmd[\"!DET.width\"] = 32 # pixel\n", "cmd[\"!DET.height\"] = 32\n", "\n", "cmd[\"!SIM.sub_pixel.flag\"] = True\n", "\n", "cmd[\"!INST.psf.strehl\"] = 0.1\n", "cmd[\"!INST.psf.wavelength\"] = 1.2" ] }, { "cell_type": "markdown", "id": "infrared-schema", "metadata": {}, "source": [ "With all these parameters set, we can finally build the optical model and observe the stars." ] }, { "cell_type": "code", "execution_count": 4, "id": "informative-marathon", "metadata": { "scrolled": false }, "outputs": [], "source": [ "micado = sim.OpticalTrain(cmd)\n", "micado.observe(stars)\n", "hdus = micado.readout()" ] }, { "cell_type": "markdown", "id": "continent-recording", "metadata": {}, "source": [ "As we can see below the 4 stars appear nicely positioned in the grid.\n", "The pixelated 1st Airy ring is also visible.\n", "We chose the wide-field (4mas) mode for this example especially for this reason." ] }, { "cell_type": "code", "execution_count": 5, "id": "suited-destination", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plt.imshow(hdus[0][1].data, norm=LogNorm())" ] }, { "cell_type": "markdown", "id": "mobile-positive", "metadata": {}, "source": [ "## Observing a second Epoch\n", "\n", "To simulate the movement of the stars due to their proper motions over time, we can shift the stars by a random fraction of a pixel in both directions using the ``.shift`` method of a point-source ``Source`` object." ] }, { "cell_type": "code", "execution_count": 6, "id": "strange-delhi", "metadata": {}, "outputs": [], "source": [ "dx, dy = 0.004 * np.random.random(size=(2, 4))\n", "stars.shift(dx=dx, dy=dy)" ] }, { "cell_type": "markdown", "id": "spanish-organizer", "metadata": {}, "source": [ "As the ``MICADO`` optical model already exists and we do not want to change anything about the system, we can simply observe and readout the updated ``Source`` again." ] }, { "cell_type": "code", "execution_count": 7, "id": "cubic-integer", "metadata": { "scrolled": false }, "outputs": [], "source": [ "micado.observe(stars)\n", "hdus2 = micado.readout()" ] }, { "cell_type": "markdown", "id": "micro-chess", "metadata": {}, "source": [ "The added random fraction of a pixel motion to each star results in the centre of mass of each star being unaligned with the pixel." ] }, { "cell_type": "code", "execution_count": 8, "id": "structural-wound", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "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": [ "plt.figure(figsize=(10,10))\n", "plt.imshow(hdus2[0][1].data, norm=LogNorm())" ] }, { "cell_type": "markdown", "id": "wireless-deadline", "metadata": {}, "source": [ "## Cluster movement use case\n", "\n", "The above examples are nice for illustrating a simple use case. \n", "For more complex cases, such as the motions of stars within a star cluster, the work flow remains the same.\n", "We can use the ``ScopeSim_Templates`` package function to create a plausible open cluster containing 10 solar masses worth of stars, located at a distance of 8 kpc. The core radius of 0.002 pc is wildly unrealistic, but this dense core serves the purpose of illustrating the sub-pixel nature of ScopeSim simulations.\n", "\n", "Here ``t0_cluster`` and ``t1_cluster`` are two realisation of the same cluster at different epochs.\n", "\n", "While the ``.shift`` method described above would also be perfectly applicable here, we will create a copy of the original cluster object for the second Epoch. This allows us to visualise the \"before and after\" of the cluster simulations.\n", "\n", "We also show how to access the table containing the spatial information inside the ``Source`` object's ``.fields`` attribute." ] }, { "cell_type": "code", "execution_count": 9, "id": "mechanical-oxygen", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from copy import deepcopy\n", "t0_cluster = sim_tp.cluster(mass=10, core_radius=0.002, distance=8000)\n", "t1_cluster = deepcopy(t0_cluster)\n", "\n", "pm_x, pm_y = np.random.normal(0, 0.02, size=(2, len(t0_cluster.fields[0])))\n", "\n", "t1_cluster.fields[0][\"x\"] += pm_x\n", "t1_cluster.fields[0][\"y\"] += pm_y\n", "\n", "plt.scatter(t0_cluster.fields[0][\"x\"], t0_cluster.fields[0][\"y\"], c=\"b\", label=\"t0\")\n", "plt.scatter(t1_cluster.fields[0][\"x\"], t1_cluster.fields[0][\"y\"], c=\"r\", label=\"t1\")\n", "plt.legend(loc=2)" ] }, { "cell_type": "markdown", "id": "simplified-stereo", "metadata": {}, "source": [ "## Observing the two epochs of the cluster\n", "\n", "For an astrometric science case we are more likely to use the MICADO zoom optics (1.5mas / pixel).\n", "Therefore we recreate the optical mode with the updated ``set_modes`` keyword (``IMG_1.5mas``).\n", "\n", "We also expand the size of the detector window to 256x256 pixels in order to fit our unrealisticly dense open cluster." ] }, { "cell_type": "code", "execution_count": 10, "id": "driving-prayer", "metadata": {}, "outputs": [], "source": [ "observation_dict = {\n", " \"!OBS.filter_name_pupil\": \"open\",\n", " \"!OBS.filter_name_fw1\": \"J\",\n", " \"!OBS.filter_name_fw2\": \"open\", \n", " \"!INST.filter_name\": \"Pa-beta\",\n", " \"!OBS.ndit\": 1, \n", " \"!OBS.dit\": 3600,\n", "\n", " \"!OBS.instrument\": \"MICADO\",\n", " \"!OBS.catg\": \"SCIENCE\",\n", " \"!OBS.tech\": \"IMAGE\",\n", " \"!OBS.type\": \"OBJECT\",\n", " \"!OBS.mjdobs\": datetime.datetime(2022, 1, 1, 2, 30, 0)\n", "}\n", "\n", "cmd = sim.UserCommands(\n", " use_instrument=\"MICADO\",\n", " set_modes=[\"SCAO\", \"IMG_1.5mas\"],\n", " properties=observation_dict,\n", ")\n", "cmd[\"!DET.width\"] = 256 # pixel\n", "cmd[\"!DET.height\"] = 256\n", "\n", "cmd[\"!SIM.sub_pixel.flag\"] = True\n", "\n", "micado = sim.OpticalTrain(cmd)" ] }, { "cell_type": "markdown", "id": "victorian-eugene", "metadata": {}, "source": [ "Observing and reading out the MICADO detector for each ``Source`` object is quite obvious by now" ] }, { "cell_type": "code", "execution_count": 11, "id": "vocational-juice", "metadata": {}, "outputs": [], "source": [ "micado.observe(t0_cluster)\n", "t0_hdus = micado.readout()\n", "\n", "micado.observe(t1_cluster)\n", "t1_hdus = micado.readout()" ] }, { "cell_type": "markdown", "id": "fourth-marketplace", "metadata": {}, "source": [ "In contrast to the grid of stars being observed with the wide-field mode, the zoom-mode enables us to see much more of the PSF structure. \n", "The shift in star positions is also quite obvious.\n", "\n", "Each ``fits.HDUList`` could also ahve been saved to disk as a regular FITS file by passing a ``filename=`` keyword to the ``readout``method call.\n", "Alternatively we could use the standard ``astropy.fits`` functionality (i.e. the ``writeto()`` method) to save the ``HDUList``s to disk." ] }, { "cell_type": "code", "execution_count": 12, "id": "experienced-karaoke", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "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": [ "plt.figure(figsize=(15,8))\n", "plt.subplot(121)\n", "plt.imshow(t0_hdus[0][1].data, norm=LogNorm(), origin=\"lower\")\n", "plt.subplot(122)\n", "plt.imshow(t1_hdus[0][1].data, norm=LogNorm(), origin=\"lower\")" ] }, { "cell_type": "code", "execution_count": null, "id": "grave-emission", "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 5 }