{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example case of making RMS maps. #\n", "\n", "If you only want to get an RMS map with _M2_ProposalTools_ , here is an example." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import M2_ProposalTools.MakeRMSmap as MRM\n", "import numpy as np\n", "from astropy.wcs import WCS\n", "import matplotlib.pyplot as plt\n", "from importlib import reload" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Let's jump into what you need to get an RMS map:\n", "---\n", "I want the user to define parameters for a map.\n", "Notably, the astrometry: \n", "(1) RA, Dec of the centroid of the map (both in degrees)\n", "(2) Number of x and y pixels\n", "(3) And the pixel size (in arcseconds)\n", "\n", "The user will also need to decide on the pointings, sizes, and times of scans.\n", "Scans are assumed to be a Lissajous daisy, LJD\n", "Scans are assumed to be exactly on the pointings (in RA,Dec) provided unless\n", "The size is given as a negative. If the scan is given as a negative, this script\n", "assumes that you want offset pointings (i.e. the 4-offset pattern often adopted).\n", "The default offset value is 1.5 (arcminutes). You can choose an alternate value if you wish.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "Center = [280.0, 45.0] # Arbitrary RA and Dec\n", "pixsize = 2.0 # arcseconds\n", "xsize = 12.0 # arcminutes; this is a bit larger than typical\n", "ysize = 12.0 # arcminutes\n", "nx = int(np.round(xsize*60/pixsize)) # Number of pixels (must be an integer!)\n", "ny = int(np.round(ysize*60/pixsize)) # Number of pixels (must be an integer!)\n", "############################################################################################\n", "Ptgs = [Center] # Pointings should be a list of (RA,Dec) array-like values.\n", "sizes = [-3.5] # Let's try offset scans! Here, 3.5' scans, offset\n", "times = [10.0] # 10 hours\n", "offsets = [1.5] # 1.5 arcminute offset (the default, but we may change it)\n", "############################################################################################\n", "### Some additional parameters useful for plotting\n", "Theta500 = 3.5 # Radius of interest, in arcminutes. If > 0, a circle will be plotted of this radius.\n", "#500 comes from the relevance/interest for galaxy clusters\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll take the RA,Dec value to be the *center* of the map.\n", "If you want to offset this, you can either compute what the center (in pixels) should be\n", "and pass them in as cx and cy. Or ...just recompute the center RA and Dec." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "TemplateHDU = MRM.make_template_hdul(nx,ny,Center,pixsize)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "RMSmap,nscans = MRM.make_rms_map(TemplateHDU,Ptgs,sizes,times,offsets=offsets)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "prntinfo = True\n", "############## Some inputs are useful if your template HDU has an actual image you want to portray \n", "############## with respect to your RMS map. (Do features align with desired map depth?)\n", "ggm = False # Perform Gaussian Gradient Magnitude on the image of the Template HDU\n", "ncnts = 0 # Number of contours. 1-3 is good for highlighting features. Contours are automatically created in logarithmic\n", " # spacing between the minimum (acceptable, see below) and maximum ggm values.\n", "ggmCut = 0.01 # This multiplied by the *maximum* of the GGM map is a threshold. So gradients < 1% are ignored/omitted.\n", "ggmIsImg = False # If you want to display the ggm image instead of the RMS map, you can set this to True\n", " # This is primarily useful to get a handle on the values of the GGM image.(So that you may decide on values above)\n", "###################################################################################################\n", "vmin = 20.0 # uK. Minimum RMS depth expected\n", "vmax = 200.0 # uK. Maximum RMS to be colored. \n", "###################################################################################################\n", "tsource = np.sum(times) # Total hours on source.\n", "R500 = Theta500*60/pixsize # Number of pixels\n", "R5c = \"k\" # Black color for the circle drawn at R500 pixels\n", "zoom = 1.0 # Often the map is bigger than needed; you may want to zoom in by some amount.\n", "noaxes = True # Label the axes? Often not necessary.\n", "myfs = 20 # fontsize\n", "###################################################################################################\n", "outpng = \"Example_rmsmap_OffsetPintings_3p5each_wR500.png\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Here we can make a plot of the RMS map! " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "MRM.plot_rms_general(TemplateHDU,outpng,nscans=nscans,prntinfo=prntinfo,cra=Center[0],cdec=Center[1],\n", " ggm=ggm,ncnts=ncnts,vmin=vmin,vmax=vmax,ggmCut=ggmCut,ggmIsImg=ggmIsImg,rmsmap=RMSmap,\n", " tsource=tsource,R500=R500,r5col=R5c,zoom=zoom,noaxes=noaxes,myfs=myfs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above, we've opted to \"prntinfo\" and supplied the time on source and number of scans such that these items are printed onto the figure. In this case, the number of scans for 10 hours is about 132. The number of scans is extraneous to most proposers, but it may be useful if you have a particular scan pattern and want to keep track of how many scans are needed (per pointing, say).\n", "\n", "---\n", "Perhaps we want to do a bit more yet. For instance, we can check how the profile of the RMS with the offset pointings comparse to that of the single pointings (which had been tabulated on )\n", "\n", "First, let's calculate the RMS profiles for both cases:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "RMSrads,RMSprof = MRM.calc_RMS_profile(TemplateHDU,RMSmap,Center)\n", "MapSpdProf = RMSprof * np.sqrt(np.sum(times)) \n", "LJD_MapSpeed = MRM.get_rmsprof_from_s(RMSrads,-sizes[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's also calculate the RMS within a circular aperture. Specifically, let's do three circular apertures; that of 2, 3, and 4 arcminutes" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "Rmaxes = [2,3,4] # Rmaxes of 2', 3', and 4'\n", "AvgedMapSpds = MRM.calculate_RMS_within(RMSrads,MapSpdProf,Rmaxes=Rmaxes) \n", "LJD_AvgMpSpds = MRM.calculate_RMS_within(RMSrads,LJD_MapSpeed,Rmaxes=Rmaxes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And let's plot this because it's prettier than just looking at numbers" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "RMSfig = plt.figure(1,figsize=(5,4),dpi=200)\n", "RMSfig.clf()\n", "RMSax = RMSfig.add_subplot(111)\n", "RMSax.plot(RMSrads,MapSpdProf,label=\"3.5; Offset by 1.5\")\n", "RMSax.plot(RMSrads,LJD_MapSpeed,label=\"3.5; single ptg\")\n", "for Rmax,AMS,LMS in zip(Rmaxes,AvgedMapSpds,LJD_AvgMpSpds):\n", " RMSax.plot([0,Rmax],[AMS,AMS],ls=\":\",color=\"C0\")\n", " RMSax.text(Rmax/4,AMS,\"{:.1f}\".format(AMS),color=\"C0\")\n", " RMSax.plot([0,Rmax],[LMS,LMS],ls=\":\",color=\"C1\")\n", " RMSax.text(Rmax,LMS,\"{:.1f}\".format(LMS),color=\"C1\")\n", "RMSax.set_xlabel(\"Radius (arcmin)\")\n", "RMSax.set_ylabel(r\"RMS ($\\mu$K)\")\n", "RMSax.set_yscale(\"log\")\n", "RMSfig.tight_layout()\n", "RMSfig.savefig(\"Offset_vs_Single_Pointing_MappingSpeeds_v2.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, a disclaimer: the RMS profile for a single pointing is probably overestimating the slope in the center (it should be flatter). Even so, it does monatonically decrease. However, the profile of the offset pointings (blue) is substantially flatter. The increase in noise is relatively minor, at least with the default offset of 1.5 arcminutes.\n", "\n", "### Conclusion: offset pointings do not dramatically reduce the sensitivity in the central 2 arcminutes." ] }, { "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }