examples/2_Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# FYST Holography Data Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. System Configuration and initialization\n",
    "The initialization process is totally consistent with the the script [Initialization_FYST_holo](1_initialization_FYST_holo.ipynb). If you already run this script. Then we can skip the step 5 'Running the time-consuming first beam calculation'. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys,os\n",
    "sys.path.append('..')\n",
    "from ccat_holo.Pyccat import CCAT_holo\n",
    "import time\n",
    "import torch as T\n",
    "import numpy as np\n",
    "import h5py\n",
    "\n",
    "from ccat_holo.fitting_error_plot import Fit_M_Surface\n",
    "from ccat_holo.pyplot import plot_beamcontour"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FYST telescope model has been created!!\n"
     ]
    }
   ],
   "source": [
    "# 1. Model folder\n",
    "Model_folder='../CCAT_model'\n",
    "# 2. Configuration of the Holography system\n",
    "holo_setup={'Rx1':([0,0,600],'../scan/51/on-axis.txt'), \n",
    "            'Rx2':([400,400,600],'../scan/51/400_400_600.txt'),\n",
    "            'Rx3':([400,-400,600],'../scan/51/400_-400_600.txt'),\n",
    "            'Rx4':([-400,400,600],'../scan/51/-400_400_600.txt'),\n",
    "            'Rx5':([-400,-400,600],'../scan/51/-400_-400_600.txt')\n",
    "            }\n",
    "# Define 5 receiver positions in the 'Coord_Rx' system, e.g [+/-400,+/-400,600]\n",
    "# and their field points that are stored in file 'scan/400_400_600.txt'. The field\n",
    "# points of the measured beam maps are from the read out of the telescope coders.\n",
    "#####################\n",
    "# 3. Output_folder is the folder used to store the intermediate data of the first\n",
    "#    beam calculation and the analysing results.\n",
    "Output_folder='Analysis1'\n",
    "\n",
    "# 4. Create the FYST holography Model and check the telescope model and \n",
    "# holographic setup in the 3D view.\n",
    "Model=CCAT_holo(Model_folder,Output_folder,holo_conf=holo_setup)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 5. Running the time-consuming first beam calculation.\n",
    "# Model.First_Beam_cal()\n",
    "\n",
    "# 6. Make the farward beam calculation function, (Model.FF)\n",
    "Model.mk_FF(fitting_param='panel adjusters',Device=T.device('cpu'))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Start the fitting process\n",
    "- Read the measured beams and convert it into a torch.tensor with shape of 10 by N (number of field points)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 7. fit systematic alignment errors (Large-scale parameters):\n",
    "'''Meaused data'''\n",
    "Meas_beam=np.genfromtxt('Meas_beams/GRASP_296GHz_51_51.txt',delimiter=',')\n",
    "Meas_beam=T.tensor(Meas_beam)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Fit the large-scale errors in aperture  \n",
    "The large-scale phase error in aperture can be caused by the pointing offset of the telescope and inaccuracy of the receiver positions. The errors in aperture field amplitude are due to the inconsistency between the designed source beam and the practical Guassian beam.  \n",
    "\n",
    "Fitting the large-scale aperture errors first can significanly improve the efficiency of the following mirror surface diagnosis. \n",
    "\n",
    "The details of the fitting results are stored in a h5py file in the project output folder. \n",
    "\n",
    "We can run the code 'Model.fit_LP' to find the "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "res: 6.728268967519449\n",
      "res: 5.643103886743477\n",
      "res: 3.639667855054105\n",
      "res: 3.173570005907653\n",
      "res: 2.5347312945943585\n",
      "res: 2.2256706968608144\n",
      "res: 2.000275001352129\n",
      "res: 1.6836170461335596\n",
      "res: 1.5320980213370312\n",
      "res: 1.4941923290561896\n",
      "res: 1.4403157913376166\n",
      "res: 1.4080283043303448\n",
      "res: 1.3747335337749762\n",
      "res: 1.3166877299384536\n",
      "res: 1.2484042587930266\n",
      "res: 1.1766475798779588\n",
      "res: 1.0538391789108412\n",
      "res: 0.8843250654669101\n",
      "res: 0.8093249216464196\n",
      "res: 0.8050037772468861\n",
      "res: 0.7764078873345519\n",
      "res: 0.7226502618725348\n",
      "res: 0.6737533566642789\n",
      "res: 0.6630536369316984\n",
      "res: 0.6483882485073941\n",
      "res: 0.6416917718703599\n",
      "res: 0.6398676298577264\n",
      "res: 0.6388586479823859\n",
      "res: 0.638508599974606\n",
      "res: 0.6383628425479544\n",
      "res: 0.6382446954223635\n",
      "res: 0.6381580528182345\n",
      "res: 0.638119946814019\n",
      "res: 0.6381079004377859\n",
      "res: 0.6381035143068834\n",
      "res: 0.6381014345363363\n",
      "res: 0.638100429267551\n",
      "res: 0.6380998608853558\n",
      "res: 0.6380995687706914\n",
      "res: 0.6380994671377113\n",
      "res: 0.6380994373893943\n",
      "res: 0.6380994226345438\n",
      "res: 0.6380994115703811\n",
      "res: 0.638099404177745\n",
      "res: 0.6380993995307307\n",
      "res: 0.638099396963274\n",
      "res: 0.6380993958789973\n",
      "Cost time: 73.7141386\n"
     ]
    }
   ],
   "source": [
    "# 8. Find the large-scale parameters. The fitting results are stored in file 'fit_LP.h5py'\n",
    "Model.fit_LP(Meas_beam,Device=T.device('cpu'),outputfilename='fit_LP')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The fitting results are represented as a new object '<em>Model.result_LP<em>'. The fitting solution is Model.result_LP.x. The results are also saved as a h5py file, for example, here the data is stored in file 'Analysis1/fit_LP.h5py'."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.        ,  0.00391724, -0.03790234, -0.03715701, -0.01429649,\n",
       "        -0.02429823],\n",
       "       [ 1.        , -0.00809594, -0.04327923,  0.03314417,  0.10731439,\n",
       "         0.14331109],\n",
       "       [ 1.        , -0.00365174, -0.03716421,  0.03359783, -0.00202444,\n",
       "        -0.0429865 ],\n",
       "       [ 1.        ,  0.01925254, -0.06274475,  0.01044918,  0.05378026,\n",
       "        -0.03066829],\n",
       "       [ 1.        , -0.01273641, -0.01901278,  0.02369913, -0.0406991 ,\n",
       "        -0.05649426]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fitting solution\n",
    "Model.result_LP.x[0:5*6].reshape(5,-1) # amplitude parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 4.78503770e-16,  2.49001083e+00,  6.87897553e-02,\n",
       "         6.67332077e-01,  6.69832901e-01],\n",
       "       [-1.97917551e-16, -3.84484242e+00, -1.66395624e-01,\n",
       "         8.12940871e-01,  8.44184207e-01],\n",
       "       [ 1.07239335e-15,  1.12034614e+00,  1.41721367e+00,\n",
       "         6.31799033e-01,  5.31671461e-01],\n",
       "       [ 7.36140581e-16,  2.62844875e+00, -1.42586149e+00,\n",
       "         8.83942085e-01,  7.43174548e-01],\n",
       "       [ 1.19917597e-15,  3.83535737e+00,  3.77607621e+00,\n",
       "         5.36706538e-01,  5.38853753e-01]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Model.result_LP.x[5*6:].reshape(5,-1) # fitted aperture phase errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the results from h5py file\n",
    "with h5py.File(Output_folder+'/fit_LP.h5py','r') as f:\n",
    "    fit_LP=f['x'][:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Compre the fitted beams with the perfect beams**  \n",
    "We can see the pointing errors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1332x252 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Beams_LP=Model.FF(T.zeros(5*(69+77)),\n",
    "                  Model.result_LP.x[0:5*6],\n",
    "                  Model.result_LP.x[5*6:]).numpy()\n",
    "Beams_ref=Model.FF(T.zeros(5*(69+77)),\n",
    "                  T.tensor([1,0,0,0,0,0,\n",
    "                            1,0,0,0,0,0,\n",
    "                            1,0,0,0,0,0,\n",
    "                            1,0,0,0,0,0,\n",
    "                            1,0,0,0,0,0]),\n",
    "                  T.zeros(5*5)).numpy()\n",
    "# Blue contour lines represent reference beams.\n",
    "# Red is the fitted beams for the measured beams. \n",
    "x0=np.linspace(-1,1,51)\n",
    "y0=np.linspace(-1,1,51)\n",
    "plot_beamcontour(x0,y0,Beams_LP,Beams_ref,\n",
    "                 levels=[-35,-30,-20,-15])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Start the mirror surface analysis\n",
    "The solution of large-scale aperture errors is imported into the surface analysis process. <em>Init_LP=Model.result_LP.x<em>. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 0.0 0.0 0.0 0.0\n",
      "0.0 0.6380993958789973\n",
      "res: 0.6380993958789973\n",
      "2.181060098152554e-05 0.00577790337404941 0.0001396720823586689 0.00121106283639872 0.00010953301619331945\n",
      "0.002845305268924609 5.8119792813130235\n",
      "res: 5.8476923159122505\n",
      "2.477206907530033e-06 0.0006562433635647637 1.586369158315063e-05 0.00013755023194331282 1.2440553314030725e-05\n",
      "3.670440326079556e-05 0.3943329893655987\n",
      "res: 0.39552460844551945\n",
      "0.2004566300676014 0.09086827126386363 0.1063200197559317 0.07034727120313994 0.04109491025002587\n",
      "0.0001817579152669937 0.6320514885147256\n",
      "res: 1.142956170207958\n",
      "0.02476154263694173 0.010650376361766752 0.0131205009446289 0.008797698876813434 0.005087625755104452\n",
      "4.863463070558873e-05 0.38897693078917256\n",
      "res: 0.45188102167148375\n",
      "0.00369108578742355 0.0010301432760756964 0.001943430098613164 0.0014162881226852536 0.0007694063597101864\n",
      "3.8376672505244357e-05 0.39294615187627924\n",
      "res: 0.4021802722458395\n",
      "0.00063315234248024 0.00036603112635819686 0.0003213134544116725 0.00034503167214326984 0.00014270767889439573\n",
      "3.698951043512941e-05 0.39407983383008227\n",
      "res: 0.39625796520872136\n",
      "0.0001260390265383042 0.0005975661298496073 5.2309251051450845e-05 0.0001673795352869793 3.877891397949555e-05\n",
      "3.676195860376341e-05 0.39428131956982826\n",
      "res: 0.3956310120125718\n",
      "2.8251792502372725e-05 0.0006422132863374602 1.2509309344706059e-05 0.00013312267289028023 1.8738212743075675e-05\n",
      "3.671816095089311e-05 0.39432061245650996\n",
      "res: 0.3955226293398368\n",
      "2.7708169229253427e-05 0.0006406580888113772 1.2141777143002963e-05 0.00013294856175861914 1.8067294398656578e-05\n",
      "3.6718893260807576e-05 0.39431991874194616\n",
      "res: 0.3955186315658951\n",
      "2.5533676136852562e-05 0.0006344372987070871 1.0671648336258235e-05 0.00013225211723191972 1.538362102094376e-05\n",
      "3.672182257480904e-05 0.3943171442736881\n",
      "res: 0.3955026408608692\n",
      "3.275847947686525e-05 0.0006095541382899075 2.4087860376496503e-05 0.00012946633912514112 4.648927510101167e-06\n",
      "3.6733541020313235e-05 0.3943060526407583\n",
      "res: 0.39547390379573993\n",
      "1.195286071597329e-05 0.0005591662488343657 4.1086735611714845e-05 0.00012621335712175623 1.4323154229584946e-05\n",
      "3.6751576630665947e-05 0.39428845261965373\n",
      "res: 0.3954087107424738\n",
      "9.868502019613062e-06 0.00046546520083214473 4.104202789188653e-05 0.00011492076781950602 1.8176321823405988e-05\n",
      "3.677571505711934e-05 0.3942629737090722\n",
      "res: 0.3952802036800299\n",
      "1.982919476646583e-05 9.066100882328706e-05 4.0863197012571545e-05 6.97504106105056e-05 3.577857870889307e-05\n",
      "3.6872350598071254e-05 0.39416146329965973\n",
      "res: 0.39478706919556217\n",
      "9.823339116361851e-05 0.001408555759212083 0.000163408511843122 0.00017643430507152322 0.00011313553661958242\n",
      "3.726020212409264e-05 0.39376190953273815\n",
      "res: 0.39609427905788896\n",
      "2.94723952651392e-05 0.00018061195845044684 6.225375203937518e-05 3.705734822178654e-05 4.9775788424744494e-05\n",
      "3.69423744244573e-05 0.39408839741516\n",
      "res: 0.39481699240180607\n",
      "0.0005185729871961184 0.0009333864971126911 0.0006911936370739332 0.00014565549698773586 0.00015990321271055694\n",
      "3.716237704559229e-05 0.39379959496654693\n",
      "res: 0.3966199305680838\n",
      "4.336939463188069e-05 0.00026700729026698155 2.4218802285353065e-05 1.9982496516899196e-05 2.5711097142494012e-05\n",
      "3.6967588280236746e-05 0.39405510016856043\n",
      "res: 0.3948050651322064\n",
      "3.8539420625881976e-05 0.00027537872812166426 2.5351164134425515e-05 1.1677738940840243e-05 1.774841808671601e-05\n",
      "3.6972018011035186e-05 0.3940467316086722\n",
      "res: 0.39478514725869207\n",
      "4.274739577911357e-05 0.0002927945683462328 3.569859696930019e-05 1.2422156090328377e-05 1.3448105088850054e-05\n",
      "3.697941643096744e-05 0.39403035498007305\n",
      "res: 0.3947972599666565\n",
      "3.793778305536538e-05 0.00028040715086089353 2.83387470410559e-05 9.625087260792427e-06 1.6490894254313476e-05\n",
      "3.697415404421104e-05 0.3940420029771944\n",
      "res: 0.39478454418010894\n",
      "3.81758112232497e-05 0.00028113876035383524 2.8347839375037105e-05 8.901668326170408e-06 1.574910681154595e-05\n",
      "3.6974378087247114e-05 0.39404126899545544\n",
      "res: 0.3947833259624178\n",
      "3.912792389508188e-05 0.00028406519832555 2.8384208711032186e-05 6.0079925876511085e-06 1.2781957040449397e-05\n",
      "3.69752742683077e-05 0.39403833308934383\n",
      "res: 0.3947784531125867\n",
      "4.2936374582198955e-05 0.0002957709502124238 2.8529686054935312e-05 5.566710366380987e-06 7.612608795660308e-06\n",
      "3.6978859135210054e-05 0.39402658979841365\n",
      "res: 0.3947767947197774\n",
      "4.259691395997606e-05 0.0002961069466474147 2.9207592343210784e-05 5.227392281628631e-06 7.2735061834913045e-06\n",
      "3.698173932220469e-05 0.394010911400715\n",
      "res: 0.39476114114535277\n",
      "4.1239071471025485e-05 0.0002974509323874128 3.191921749631961e-05 3.870119942640023e-06 5.917095734810952e-06\n",
      "3.699326183856138e-05 0.39394820450126894\n",
      "res: 0.3946985335566868\n",
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      "3.703938019803856e-05 0.39369748397407167\n",
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      "0.0006711562985307136 0.0004849670476494304\n",
      "res: 0.007196550174150332\n",
      "1.1459186891049633e-08 5.519487155519753e-09 6.667795551806854e-10 6.767799029527843e-10 1.8188039546673807e-09\n",
      "0.0006711562988137358 0.00048496704493355156\n",
      "res: 0.0071965501741083696\n",
      "Cost time: 682.3849141000001\n"
     ]
    }
   ],
   "source": [
    "Model.fit_surface(Meas_beam,\n",
    "                  constraint=[1,1,1,1,1,10],\n",
    "                  Device=T.device('cpu'),\n",
    "                  Init_LP=Model.result_LP.x,\n",
    "                  outputfilename='fit_adjusters')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# the solution of the fitted panel adjusters\n",
    "#Model.result\n",
    "# read the solution from h5py file\n",
    "with h5py.File(Output_folder+'/fit_adjusters.h5py','r') as f:\n",
    "    fit_surface=f['x'][:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1008x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw the fitted surface panels\n",
    "Fit_M_Surface(fit_surface,vmax=100,vmin=-100,model_file='../CCAT_model')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compare the fitted beams with the measured beams\n",
    "F_beams=Model.FF(T.tensor(fit_surface[0:5*(69+77)]),\n",
    "                 T.tensor(fit_surface[5*(69+77):5*(69+77+6)]),\n",
    "                 T.tensor(fit_surface[5*(69+77+6):])).numpy() # calculated the fitted beams\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1332x252 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Blue contour lines represent reference beams.\n",
    "# Red is the fitted beams for the measured beams. \n",
    "x0=np.linspace(-1,1,51)\n",
    "y0=np.linspace(-1,1,51)\n",
    "plot_beamcontour(x0,y0,F_beams,Meas_beam,\n",
    "                 levels=range(-40,10,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "CCATholo",
   "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": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}