3_obs_effect.ipynb 119 KB
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{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 观测效应仿真"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "观测效应仿真功能包括背景光仿真和宇宙线仿真两部分。\n",
    "\n",
    "## 宇宙线仿真\n",
    "使用CosmicRayFrameMaker()类可以生成宇宙线。在仿真中仅考虑由于mu子导致的宇宙线,这类宇宙线例子会在穿过CCD芯片时导致感光,产生长短不一的细线。\n",
    "程序中假设宇宙线具有均匀且各项同性的分布。宇宙线事件的数目设置为1个事件/秒/平方厘米(参考WFPC2手册)。\n",
    "能量、宽度、长度等参考Miles et al.2021、Fisher-Levine 2015等文章,分布如下图所示。\n",
    "另外对于宇宙线沿路径方向的强度,我们也通过FFT的方式增加了随机性。\n",
    "\n",
    "另外可以通过修改CosmicRayFrameMaker()类中的参数来调整宇宙线的事件几率、长度、宽度、强度分布等,具体参考代码中的注释。"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 1,
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   "metadata": {},
   "outputs": [],
   "source": [
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    "from csst_cpic_sim import CosmicRayFrameMaker\n",
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    "cr_gen = CosmicRayFrameMaker()\n",
    "\n",
    "crs = cr_gen.random_CR_parameter(10000, [1024, 1024])"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 2,
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   "metadata": {},
   "outputs": [
    {
     "data": {
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      "image/png": 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      "text/plain": [
       "<Figure size 1000x300 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flux = []\n",
    "length = []\n",
    "angle = []\n",
    "sigma = []\n",
    "for cr in crs:\n",
    "    flux.append(cr.flux)\n",
    "    length.append(cr.length)\n",
    "    angle.append(cr.angle)\n",
    "    sigma.append(cr.sigma)\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from astropy.io import fits\n",
    "\n",
    "plt.figure(figsize=(10, 3))\n",
    "plt.subplot(1,3,1)\n",
    "plt.hist(flux, bins=np.linspace(0, 20000, 20))\n",
    "plt.title('cosmic ray event energy')\n",
    "plt.xlabel('electron number')\n",
    "plt.subplot(1,3,2)\n",
    "plt.hist(length, bins=np.linspace(0, 30, 10), log=True)\n",
    "plt.title('path length of CRs')\n",
    "plt.xlabel('pixels')\n",
    "plt.subplot(1,3,3)\n",
    "plt.hist(sigma)\n",
    "plt.title('path width of CRs')\n",
    "plt.xlabel('pixels')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用该类的make_cr_frame()方法可以生成宇宙线图像。\n",
    "该方法包括两个参数,分别为相机芯片尺寸和曝光时间。下面的代码演示了如何生成宇宙线图像。生成的宇宙线图像为一个二维数组,单位为电子数。\n",
    "\n",
    "\n",
    "图中仿真了分别为30s曝光和300s曝光的两幅宇宙线图像。"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 3,
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   "metadata": {},
   "outputs": [
    {
     "data": {
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      "image/png": 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",
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      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def psf_imshow(psf, vmin=1e-8, vmax=0.1):\n",
    "    focal_img = psf.copy()\n",
    "    focal_img = np.maximum(focal_img, vmin)\n",
    "    focal_img = np.minimum(focal_img, focal_img.max()*vmax)\n",
    "    # image_log = np.log10(focal_img)\n",
    "    image_log = focal_img\n",
    "    plt.imshow(image_log, origin='lower', cmap='gray')\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "plt.subplot(1,2,1)\n",
    "crframe = cr_gen.make_cr_frame([1032, 1056], 30)\n",
    "psf_imshow(crframe, vmin=0, vmax=0.01)\n",
    "plt.title('cosmic ray frame 30s')\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "crframe_300 = cr_gen.make_cr_frame([1056, 1032], 300)\n",
    "psf_imshow(crframe_300, vmin=0, vmax=0.01)\n",
    "plt.title('cosmic ray frame 300s')\n",
    "\n",
    "fits.writeto('image_files/cr_frame_30s.fit', crframe, overwrite=True)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "sky_frame_maker()函数可以生成天空背景图像,输入参数为观测波段、对应波段的星等/平方角秒、焦面比例尺、图像大小。\n",
    "程序中天空背景光谱按照太阳光谱估计、考虑仪器的整体光电效率。输出为一个二维数组,反应了焦面处的辐照密度,单位为电子数/秒/平方米。\n",
    "注意需要乘上望远镜通光口径和曝光时间来得到电子数。"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 5,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(40, 40, '0.029 photons/pixel/s')"
      ]
     },
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     "execution_count": 5,
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     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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GDRs2mFwx5ejoiJCQEHz77bdmBUV1x+bs7IyAgAB89913KCws1PqvX7+O77//3qzjcnZ2RteuXREfH2/yv+TS0lIsX74czZo1077X1qJFC2RlZZm8cBUWFuKHH34wa1+V7fupp55CfHy8yVlDbm6u9oH7vWDO/XS3nJyc0Lt3bxw6dAh+fn4ICAio0Mqf/d4rOp0Ovr6+8PHxQXp6OlavXo0//elPcHR0vOttmzOXtX2crlmzptK3ou/2fqvtcw+o/HXH3Pv2TvZX1RhOnjyp3fbw8MBvv/1mUpOWlqb9++TJk9i3bx+eeeaZardbNsebNm0y6d+4cSMAoFu3bndUez/UuzM8o9GI3r174/nnn0fbtm3h4uKC/fv3a1d7lefp6YmkpCT07dsXwcHBSExMrPA/xClTpqBr164AgCVLltRqPPHx8bC1tUVoaKh2lWbHjh0xfPhwrWbgwIH46quv0LZtW/j5+SE5ORnvv/9+hbc05s+fj6CgIHTt2hVvvPEGWrdujYsXL2LdunX4+9//DhcXF7OPbfbs2RgwYAD69u2LKVOmoKSkBO+//z4aNGiAq1evmnVsMTExCA0NRe/evfHaa6/B3t4en3/+OY4ePYpVq1Zp/1MeMWIE/vrXv2LkyJGYNm0a8vPz8cknn1T5ZVdzvPvuu+jXrx9CQ0Px6quvoqSkBH/729/g7Oxs9vhry9z76W59/PHHCAoKQs+ePTFx4kS0aNECubm5+OWXX7B+/Xr897//Nam3srJCSEgI/ve//1W73U2bNuHGjRvIzc0FcOuKwX//+98AgP79+2tX8B49ehRr1qxBQEAAdDodjhw5gtjY2Gp/SaO2zJ1Lcx+nhw8fxq+//lpp4FnifqvpuVdaWmrW6465921tn+uVCQsLQ1xcHKKiogDcun5g7ty58PX1hZ+fH9avX4+1a9eiW7duSExMxIQJExAZGYlWrVrVuN1BgwZh9uzZKC0tRbdu3XDgwAG88847GDhwoPZVhtrWAuY/Ru+YRS+BeQDk5+dLRESE+Pn5ScOGDcXR0VEef/xxiY6O1r5EWtmXs69duyY9evQQNzc32b9/f4XttmjRQtq1a2f2OMr2kZycLIMGDZIGDRqIi4uLjBo1Si5evGhSm52dLS+99JK4u7uLk5OTBAUFyY4dOyQkJES7gqpMamqqDBs2TBo1aiT29vbi7e0t48ePl/z8/Fof29q1a6VDhw7admJjY2Xy5Mni6upa4Tiq+iL7jh07pE+fPuLs7CyOjo7SrVs3Wb9+fYW6jRs3SqdOncTR0VFatWolCxcurPYqzfL7K7tiNi0tTetbt26d+Pn5mYzf3C+e13SVZmXHa+79VNU2xo0bJ87OzhW2GxISIk888YRJX1pamrz44ovStGlTsbOzkyZNmkj37t3lvffeM6nLzc0VADJy5Mgaj9nHx0cAVNpun9cTJ05IcHCwuLm5ib29vbRu3Vpmzpwp169ft9gx1uYxb87jdObMmZVeCVybfdX0WK/uuWfO604Zc+/bmp7rNcnOzhY3Nzf56quvROTWY2XIkCHafd6mTRuZNm2aABAPDw/54IMPKlw1WdXz5ObNmzJ9+nRp3ry52Nraire3t8yYMaPSsdWm1tzH6J2qd4F3Lxw5ckQAyGeffVbXQ7mnCgsLpX379hIaGlrXQyEzbdiwQaysrOSnn36q66HcN5U9Ttu1aydTp06tw1E9mL799ltxcHAw+aWUixcvys8//yylpaVy5coV+fXXX6v8ekB9U+/e0rSkX3/9FWfOnMGbb74JT09PjB8/vq6HZFEvvfQSQkND4enpiczMTCxevBg///wzPv7447oeGplp27ZtGDlyJDp06FDXQ7lnzHmcpqam1uEIH1zPPfcc8vPzMX78eCxbtgx/+tOf8NRTT6FFixbIzMzEvn37sHTpUuTm5mLz5s33/JdO6lxdJ+6DbNy4cWJtbS1PPPGE7Ny5s66HY3HDhg2Tpk2bir29vTg7O0vPnj1l06ZNdT0sIhN8nN6906dPyx//+EfthxnKmqenp7z66qsVPmapr/j38IiIFFFaWoqzZ8/CaDTCzc3N4hdcPegYeEREpIR6/z08IiIigIFHRESKYOAREZES6u3XEkpLS3HhwgW4uLjU/0ttiYjqIRFBbm4uvLy8LPK7m/U28C5cuIDmzZvX9TCIiOgunT171iJXlNbbtzTN+a05IiJ68Fnq9bzeBh7fxiQiqh8s9XpebwOPiIjodrUOvO3bt2PQoEHw8vKClZUVvvvuO5PlIoJZs2bBy8sLjo6O6NWrF44dO2ZSU1BQgEmTJqFx48ZwdnbG4MGDK/yxw+zsbISHh0Ov10Ov1yM8PBzXrl2r9QESEREBdxB4N27cQMeOHbFw4cJKl8+bNw/z58/HwoULsX//fhgMBoSGhmp/3wgAoqKisHbtWsTFxWHnzp24fv06Bg4caPL30Z5//nkcPnwYCQkJSEhIwOHDhxEeHn4Hh0hERIS7+/FoALJ27VrtdmlpqRgMBomNjdX68vPzRa/Xy+LFi0Xk1t9ms7Ozk7i4OK3m/PnzYm1tLQkJCSJy6+9AAZA9e/ZoNbt37xYAcvz4cbPGZjQaq/y7SmxsbGxsD08zGo13E1Uai36Gl5aWhszMTISFhWl9Op0OISEh2LVrFwAgOTkZRUVFJjVeXl7w9fXVanbv3g29Xq/9lXHg1p+C1+v1Wk15BQUFyMnJMWlERERlLBp4mZmZAAAPDw+Tfg8PD21ZZmYm7O3t4erqWm2Nu7t7he27u7trNeXFxMRon/fp9Xp+B4+IiEzck6s0y19CKiI1XlZavqay+uq2M2PGDBiNRq2dPXv2DkZORET1lUUDz2AwAECFs7CsrCztrM9gMKCwsBDZ2dnV1ly8eLHC9i9dulTh7LGMTqdDw4YNTRoREVEZiwZey5YtYTAYkJiYqPUVFhYiKSkJ3bt3BwD4+/vDzs7OpCYjIwNHjx7VagIDA2E0GrFv3z6tZu/evTAajVoNERFRrdT2Kpfc3Fw5dOiQHDp0SADI/Pnz5dChQ3LmzBkREYmNjRW9Xi/x8fGSkpIio0aNEk9PT8nJydG2ERERIc2aNZMtW7bIwYMHpU+fPtKxY0cpLi7Wavr16yd+fn6ye/du2b17t3To0EEGDhxo9jh5lSYbGxtb/WiWukqz1oG3bdu2Sgc0btw4Ebn11YTo6GgxGAyi0+kkODhYUlJSTLaRl5cnkZGR4ubmJo6OjjJw4EBJT083qbly5YqMHj1aXFxcxMXFRUaPHi3Z2dlmj5OBx8bGxlY/mqUCz0pEBPVQTk4O9Hp9XQ+DiIjuktFotMh1GfwtTSIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUoLFA6+4uBgzZ85Ey5Yt4ejoiFatWmH27NkoLS3VakQEs2bNgpeXFxwdHdGrVy8cO3bMZDsFBQWYNGkSGjduDGdnZwwePBjnzp2z9HCJiEgVYmHvvfeeNGrUSL7//ntJS0uTb7/9Vho0aCAfffSRVhMbGysuLi6yZs0aSUlJkREjRoinp6fk5ORoNREREdK0aVNJTEyUgwcPSu/evaVjx45SXFxs1jiMRqMAYGNjY2N7yJvRaLRIPlk88AYMGCAvvviiSd/QoUNlzJgxIiJSWloqBoNBYmNjteX5+fmi1+tl8eLFIiJy7do1sbOzk7i4OK3m/PnzYm1tLQkJCWaNg4HHxsbGVj+apQLP4m9pBgUFYevWrTh58iQA4MiRI9i5cyf69+8PAEhLS0NmZibCwsK0dXQ6HUJCQrBr1y4AQHJyMoqKikxqvLy84Ovrq9WUV1BQgJycHJNGRERUxtbSG5w+fTqMRiPatm0LGxsblJSUYM6cORg1ahQAIDMzEwDg4eFhsp6HhwfOnDmj1djb28PV1bVCTdn65cXExOCdd96x9OEQEVE9YfEzvNWrV2P58uVYuXIlDh48iKVLl+KDDz7A0qVLTeqsrKxMbotIhb7yqquZMWMGjEaj1s6ePXt3B0JERPWKxc/wpk2bhjfeeAMjR44EAHTo0AFnzpxBTEwMxo0bB4PBAODWWZynp6e2XlZWlnbWZzAYUFhYiOzsbJOzvKysLHTv3r3S/ep0Ouh0OksfDhER1RMWP8O7efMmrK1NN2tjY6N9LaFly5YwGAxITEzUlhcWFiIpKUkLM39/f9jZ2ZnUZGRk4OjRo1UGHhERUbUscunLbcaNGydNmzbVvpYQHx8vjRs3ltdff12riY2NFb1eL/Hx8ZKSkiKjRo2q9GsJzZo1ky1btsjBgwelT58+/FoCGxsbm4Ltgf1aQk5OjkyZMkW8vb3FwcFBWrVqJW+99ZYUFBRoNaWlpRIdHS0Gg0F0Op0EBwdLSkqKyXby8vIkMjJS3NzcxNHRUQYOHCjp6elmj4OBx8bGxlY/mqUCz0pEBPVQTk4O9Hp9XQ+DiIjuktFoRMOGDe96O/wtTSIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUsI9Cbzz589jzJgxaNSoEZycnNCpUyckJydry0UEs2bNgpeXFxwdHdGrVy8cO3bMZBsFBQWYNGkSGjduDGdnZwwePBjnzp27F8MlIiIFWDzwsrOz0aNHD9jZ2WHTpk1ITU3Fhx9+iEceeUSrmTdvHubPn4+FCxdi//79MBgMCA0NRW5urlYTFRWFtWvXIi4uDjt37sT169cxcOBAlJSUWHrIRESkArGw6dOnS1BQUJXLS0tLxWAwSGxsrNaXn58ver1eFi9eLCIi165dEzs7O4mLi9Nqzp8/L9bW1pKQkGDWOIxGowBgY2NjY3vIm9FovMNEMmXxM7x169YhICAAw4YNg7u7Ozp37ox//OMf2vK0tDRkZmYiLCxM69PpdAgJCcGuXbsAAMnJySgqKjKp8fLygq+vr1ZDRERUGxYPvNOnT2PRokVo06YNfvjhB0RERGDy5MlYtmwZACAzMxMA4OHhYbKeh4eHtiwzMxP29vZwdXWtsqa8goIC5OTkmDQiIqIytpbeYGlpKQICAjB37lwAQOfOnXHs2DEsWrQIY8eO1eqsrKxM1hORCn3lVVcTExODd9555y5HT0RE9ZXFz/A8PT3Rvn17k7527dohPT0dAGAwGACgwplaVlaWdtZnMBhQWFiI7OzsKmvKmzFjBoxGo9bOnj1rkeMhIqL6weKB16NHD5w4ccKk7+TJk/Dx8QEAtGzZEgaDAYmJidrywsJCJCUloXv37gAAf39/2NnZmdRkZGTg6NGjWk15Op0ODRs2NGlEREQai1z6cpt9+/aJra2tzJkzR06dOiUrVqwQJycnWb58uVYTGxsrer1e4uPjJSUlRUaNGiWenp6Sk5Oj1UREREizZs1ky5YtcvDgQenTp4907NhRiouLzRoHr9JkY2Njqx/NUldpWjzwRETWr18vvr6+otPppG3btvLFF1+YLC8tLZXo6GgxGAyi0+kkODhYUlJSTGry8vIkMjJS3NzcxNHRUQYOHCjp6elmj4GBx8bGxlY/mqUCz0pEBPVQTk4O9Hp9XQ+DiIjuktFotMjHVPwtTSIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUsI9D7yYmBhYWVkhKipK6xMRzJo1C15eXnB0dESvXr1w7Ngxk/UKCgowadIkNG7cGM7Ozhg8eDDOnTt3r4dLRET11D0NvP379+OLL76An5+fSf+8efMwf/58LFy4EPv374fBYEBoaChyc3O1mqioKKxduxZxcXHYuXMnrl+/joEDB6KkpOReDpmIiOoruUdyc3OlTZs2kpiYKCEhITJlyhQRESktLRWDwSCxsbFabX5+vuj1elm8eLGIiFy7dk3s7OwkLi5Oqzl//rxYW1tLQkKCWfs3Go0CgI2NjY3tIW9Go9EiuXTPzvBeeeUVDBgwAM8884xJf1paGjIzMxEWFqb16XQ6hISEYNeuXQCA5ORkFBUVmdR4eXnB19dXqyEiIqoN23ux0bi4OCQnJ+PAgQMVlmVmZgIAPDw8TPo9PDxw5swZrcbe3h6urq4VasrWL6+goAAFBQXa7ZycnLs6BiIiql8sfoZ39uxZTJkyBStWrICDg0OVdVZWVia3RaRCX3nV1cTExECv12utefPmtR88ERHVWxYPvOTkZGRlZcHf3x+2trawtbVFUlISPvnkE9ja2mpnduXP1LKysrRlBoMBhYWFyM7OrrKmvBkzZsBoNGrt7Nmzlj40IiJ6iFk88J5++mmkpKTg8OHDWgsICMDo0aNx+PBhtGrVCgaDAYmJido6hYWFSEpKQvfu3QEA/v7+sLOzM6nJyMjA0aNHtZrydDodGjZsaNKIiIjKWPwzPBcXF/j6+pr0OTs7o1GjRlp/VFQU5s6dizZt2qBNmzaYO3cunJyc8PzzzwMA9Ho9XnrpJbz66qto1KgR3Nzc8Nprr6FDhw4VLoIhIiIyxz25aKUmr7/+OvLy8vDyyy8jOzsbXbt2xebNm+Hi4qLVLFiwALa2thg+fDjy8vLw9NNP46uvvoKNjU1dDJmIiB5yViIidT2IeyEnJwd6vb6uh0FERHfJaDRa5GMq/pYmEREpgYFHRERKYOAREZESGHhERKQEBh4RESmBgUdEREpg4BERkRIYeEREpAQGHhERKYGBR0RESmDgERGREhh4RESkBAYeEREpgYFHRERKYOAREZESGHhERKQEBh4RESmBgUdEREpg4BERkRIYeEREpAQGHhERKYGBR0RESmDgERGREhh4RESkBAYeEREpgYFHRERKYOAREZESGHhERKQEBh4RESmBgUdEREpg4BERkRIYeEREpAQGHhERKYGBR0RESmDgERGREhh4RESkBAYeEREpgYFHRERKYOAREZESGHhERKQEBh4RESmBgUdEREpg4BERkRIYeEREpAQGHhERKYGBR0RESmDgERGREhh4RESkBAYeEREpgYFHRERKYOAREZESGHhERKQEBh4RESmBgUdEREpg4BERkRIYeEREpAQGHhERKYGBR0RESmDgERGREhh4RESkBAYeEREpgYFHRERKsHjgxcTEoEuXLnBxcYG7uzuGDBmCEydOmNSICGbNmgUvLy84OjqiV69eOHbsmElNQUEBJk2ahMaNG8PZ2RmDBw/GuXPnLD1cIiJShMUDLykpCa+88gr27NmDxMREFBcXIywsDDdu3NBq5s2bh/nz52PhwoXYv38/DAYDQkNDkZubq9VERUVh7dq1iIuLw86dO3H9+nUMHDgQJSUllh4yERGpQO6xrKwsASBJSUkiIlJaWioGg0FiY2O1mvz8fNHr9bJ48WIREbl27ZrY2dlJXFycVnP+/HmxtraWhIQEs/ZrNBoFABsbGxvbQ96MRqNF8uief4ZnNBoBAG5ubgCAtLQ0ZGZmIiwsTKvR6XQICQnBrl27AADJyckoKioyqfHy8oKvr69WU15BQQFycnJMGhERUZl7GngigqlTpyIoKAi+vr4AgMzMTACAh4eHSa2Hh4e2LDMzE/b29nB1da2ypryYmBjo9XqtNW/e3NKHQ0RED7F7GniRkZH46aefsGrVqgrLrKysTG6LSIW+8qqrmTFjBoxGo9bOnj175wMnIqJ6554F3qRJk7Bu3Tps27YNzZo10/oNBgMAVDhTy8rK0s76DAYDCgsLkZ2dXWVNeTqdDg0bNjRpREREZSweeCKCyMhIxMfH47///S9atmxpsrxly5YwGAxITEzU+goLC5GUlITu3bsDAPz9/WFnZ2dSk5GRgaNHj2o1REREtWKRS19uM3HiRNHr9fK///1PMjIytHbz5k2tJjY2VvR6vcTHx0tKSoqMGjVKPD09JScnR6uJiIiQZs2ayZYtW+TgwYPSp08f6dixoxQXF5s1Dl6lycbGxlY/mqWu0rR44FU14CVLlmg1paWlEh0dLQaDQXQ6nQQHB0tKSorJdvLy8iQyMlLc3NzE0dFRBg4cKOnp6WaPg4HHxsbGVj+apQLP6v+HVL2Tk5MDvV5f18MgIqK7ZDQaLXJdBn9Lk4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJDDwiIlICA4+IiJTAwCMiIiUw8IiISAkMPCIiUgIDj4iIlMDAIyIiJTDwiIhICQw8IiJSAgNPMUuWLMHatWvrehj3lYjg2Weftdj2tm3bhgULFlhse0R0fzDwajBx4kScPn0aeXl5OHDgAIKCgmpcJzg4GAcOHEBeXh5+/fVXTJgwwWT5H//4R2zfvh1Xr17F1atXkZiYiC5dupjUNGjQAAsWLMBvv/2Gmzdv4scff0RAQIBFj+1OjRs3DtnZ2XW6/927d5tdbzAYsGnTpns4olu2bdtW4b4mogcHA68aw4cPx0cffYQ5c+agc+fO2LFjBzZt2oTmzZtXuU6LFi2wceNG7NixA507d8bcuXPxySefYOjQoVpNr169sGrVKvTu3RuBgYFIT0/H5s2b4eXlpdX885//RGhoKMLDw9GhQwds3rwZW7ZsMalR1eDBg/Gf//zH7PqLFy+isLDwHo4IcHV1Rffu3bF+/fp7uh8iugtSTxmNRgFwV23Pnj3y+eefm/SlpqbK3Llzq1wnNjZWUlNTTfoWLVoku3btqnIda2trMRqNEh4eLgDEwcFBioqKpH///iZ1hw4dknfffbfK7URHR8uhQ4fkz3/+s6Snp8uNGzfkm2++Eb1er9UsWbJE1q5dK6+++qpcuHBBLl++LAsXLhRbW1ut5pFHHpGlS5fK1atX5caNG7Jx40Zp3bq1AJCQkJAKcx0dHV3jegBk3Lhxkp2dLWFhYZKamiq5ubmyadMmMRgMWk1ISIjs3btXrl+/LtnZ2bJz507x9vbWlut0OsnNzZX27dsLAElLS5OZM2fKihUrJDc3V86fPy+RkZEm8yIi8uyzzwoACQ8Pl9zcXJNxffLJJ3LixAlxcnISANKuXTvZsGGD5ObmSmZmpixbtkwaNWqk1W/btk0WLFhgso8xY8bIvn37tHlYvny5ZGVlyc2bN+XkyZMyfvz4u348srGp2oxGo0VygWd4VbCzs4O/vz82b95s0r9582Z07969yvUCAwMrrPPDDz8gICAAtra2la7j5OQEOzs7XL16FQBga2sLW1tb5Ofnm9Tl5eXV+JZq69atMXz4cAwaNAj9+vVDp06d8Nlnn5nU9O7dG48++ih69+6NcePGYfz48Rg/fry2/KuvvkJAQAAGDx6MwMBAWFlZYePGjbC1tcWuXbswZcoUGI1GGAwGGAwGfPDBBzWud/uxvvbaawgPD0dwcDC8vb219W1sbPDdd98hKSkJfn5+CAwMxBdffAER0dZ/+umnkZmZidTUVK1v2rRp+Omnn/Dkk08iJiYGCxYswDPPPFPp/Hz99dfYuHEjVqxYARsbG/Tt2xcTJkzA6NGjcfPmTRgMBiQlJeHw4cMICAhAv3794OHhgW+++abaeb/9rPPdd99F+/bt8bvf/Q7t2rXDxIkTcfny5WrXJ6L7wCKx+QC62zM8T09PEREJDAw06Z8xY4YcP368yvVOnDghM2bMMOkLDAwUETE5k7m9LVy4UE6dOiU6nU7r+/HHH2Xbtm3i6ekp1tbWMnr0aCkpKal239HR0VJUVCRNmzbV+vr27SvFxcXi4eEhwK0zvLS0NLG2ttZqVq9eLatWrRIA0rp16wrH7ebmJjdu3JDnnntOgP87U7t93+auJyLSqlUrrWbixImSkZEhAMTV1VVERIKDg6s8xr///e/ywQcfaLfT0tJk48aNJjWrVq2SDRs2aLdF/u8MD7h1Bpaeni6fffaZZGRkyJtvvqkte+eddyQhIcFke02bNhURkTZt2ghQ8QzP3t5ejEaj+Pr6CgD5z3/+I19++WWd/6+Yja2+NJ7h3Sdy29kFAFhZWVXoM2edyvqBW2cno0aNwtChQ1FQUKD1h4eHw8rKChcuXEBBQQEmT56MlStXoqSkpNp9p6en4/z589rt3bt3w8bGBo8//rjWd+zYMZSWlmq3MzIy4O7uDgBo164dioqKsHfvXm351atXceLECbRr167K/Zq73o0bN3D69OlK952dnY0lS5bghx9+wLp16zB58mQYDAaT/QwaNAjr1q0z6St/Acvu3burHeu1a9fw0ksv4eWXX8avv/6K2NhYbZm/vz969+6N3NxcrR0/fhwA8Oijj1a6vT59+uDKlSs4evQoAGDRokUYOXIkDh06hL/97W8IDAyscixEdP8w8Kpw+fJlFBcXV3jBdXd3x8WLF6tcLzMzs9J1ioqKcOXKFZP+V199FW+++SbCwsKQkpJisuz06dPo1asXnJ2d0bx5c3Tt2hV2dnZIS0ur1XGUheztYVtUVFShxtr61kOhLJzLqynozV2vun0DwIsvvojAwEDs2rULI0aMwMmTJ9G1a1cAwFNPPQV7e3vs3LmzynHcvt3qBAcHo7i4GF5eXnB2dtb6ra2tsX79enTq1MmktW7dGtu3b690W+UvoklISICPjw8++ugjeHl5YevWrXj//fdrHDMR3VsMvCoUFRUhOTkZoaGhJv2hoaHYtWtXlevt3r27wjphYWE4cOAAiouLtb7XXnsNb7/9Nvr164fk5OQqt3fz5k1kZmbikUceQd++fWu8OtHb2xuenp7a7cDAQJSUlODkyZPVrlcmNTUVdnZ2WsgAgJubGx577DH8/PPPAIDCwkLY2NjUej1zHT58GLGxsejRoweOHj2K559/HgDw7LPPYsOGDSZnpwDQrVu3CrfLzsoqExgYiNdffx2DBg1CTk4OPv30U23ZwYMH8cQTT+C3337Dr7/+atJu3rxZ6fYqO+u8fPkyli5divDwcERFReHPf/5zreaAiO4Bi7wx+gCyxFWaw4cPl4KCAnnhhRekbdu2Mn/+fMnNzTW5anDu3LmydOlS7XaLFi3k+vXr8uGHH0rbtm3lhRdekIKCAhk6dKhWM23aNMnPz5ehQ4eKh4eH1pydnbWasLAw6du3r7Ro0UKeeeYZOXTokOzZs8fkasryLTo6WnJzc2Xz5s3i5+cnQUFBcvz4cVm5cqVWU3aV5u3rLViwQLZt26bdXrt2rRw9elR69Oghfn5+snHjRjl58qS277LPJPv06SONGjUSR0dHs9ar7LO/Z599VkREm7u5c+dKt27dxNvbW0JDQ+Xy5csSEREhACQlJcVkHoFbn+Fdu3ZNpk2bJm3atJGXX35ZioqKJCwsTKsR+b/P8Bo0aCC//PKL9jlg+/bt5ebNm9rnjJ6ennLx4kX55ptvpEuXLtKyZUsJDQ2VL7/8Uvvc8/bP8Pz9/eXq1atiY2Oj7e+dd96RwYMHy6OPPirt27eXdevWyZ49e+r8cxA2toe1WeozPAZeDW3ixImSlpYm+fn5cuDAAenZs6fJ8iVLlpiEBQAJDg6W5ORkyc/Pl9OnT8uECRNMlqelpVU65rLL+wHIsGHD5JdffpH8/Hy5cOGCfPrpp9KwYcNqx1r2tYSIiAg5d+6c3Lx5U/7973/LI488YjLemgKv7OsF2dnZcuPGDdm0aZPJZfwA5PPPP5dLly6ZjLum9WoKPHd3d4mPj5fz589Lfn6+pKWlyaxZs8TKykpatWoleXl5Jv8pKJvLt99+W+Li4uT69euSkZEhkydPNqkR+b/A+/LLL+XIkSNib2+vLZ80aZJcvnxZvLy8BLh1Ac6aNWu0r1ekpqbK/PnztfrbA2/27Nny9ddfm+zvrbfekmPHjsmNGzfk8uXLsnbtWmnRokWdv2iwsT2sjYFXA0sF3sPUygKvrsdxL9pf/vIXkysvy1paWppMmTKlzsZ15MgRGTZsWJ3PDxtbfW68SpOUcu7cOcTExNT1MEzY2dlhzZo19+Vny4jo7lX+TWiiB8y3335b10OooKioCLNnz67rYRCRmaxEarh++yGVk5MDvV5f18MgIqK7ZDQa0bBhw7veDt/SJCIiJTDwiIhICQw8IiJSAgOPiIiUwMAjIiIlMPCIiEgJD3zgff7552jZsiUcHBzg7++PHTt21PWQiIjoIfRAB97q1asRFRWFt956C4cOHULPnj3xu9/9Dunp6XU9NCIiesg80F8879q1K5588kksWrRI62vXrh2GDBlS489M8YvnRET1Q73/4nlhYSGSk5MRFhZm0h8WFlbp36MrKChATk6O1oxG4/0aKhER3UOWOi97YAPv8uXLKCkpgYeHh0m/h4cHMjMzK9THxMRAr9drzdvb+34NlYiI7qHc3FyLbOeB//FoKysrk9siUqEPAGbMmIGpU6dqt69duwYfHx+kp6fzrc0q5OTkoHnz5jh79qxF3i6obzg/1eP8VI/zUz1z5kdEkJubCy8vL4vs84ENvMaNG8PGxqbC2VxWVlaFsz4A0Ol00Ol0Ffr1ej0fbDVo2LAh56ganJ/qcX6qx/mpXk3zY8kTlgf2LU17e3v4+/sjMTHRpD8xMRHdu3evo1EREdHD6oE9wwOAqVOnIjw8HAEBAQgMDMQXX3yB9PR0RERE1PXQiIjoIfNAB96IESNw5coVzJ49GxkZGfD19cXGjRvh4+NT47o6nQ7R0dGVvs1Jt3COqsf5qR7np3qcn+rVxfw80N/DIyIispQH9jM8IiIiS2LgERGREhh4RESkBAYeEREpod4Gnop/VigmJgZdunSBi4sL3N3dMWTIEJw4ccKkRkQwa9YseHl5wdHREb169cKxY8dMagoKCjBp0iQ0btwYzs7OGDx4MM6dO3c/D+W+iImJgZWVFaKiorQ+zg9w/vx5jBkzBo0aNYKTkxM6deqE5ORkbbnKc1RcXIyZM2eiZcuWcHR0RKtWrTB79myUlpZqNSrNz/bt2zFo0CB4eXnBysoK3333nclyS81FdnY2wsPDtZ+ODA8Px7Vr12o/YKmH4uLixM7OTv7xj39IamqqTJkyRZydneXMmTN1PbR7qm/fvrJkyRI5evSoHD58WAYMGCDe3t5y/fp1rSY2NlZcXFxkzZo1kpKSIiNGjBBPT0/JycnRaiIiIqRp06aSmJgoBw8elN69e0vHjh2luLi4Lg7rnti3b5+0aNFC/Pz8ZMqUKVq/6vNz9epV8fHxkfHjx8vevXslLS1NtmzZIr/88otWo/Icvffee9KoUSP5/vvvJS0tTb799ltp0KCBfPTRR1qNSvOzceNGeeutt2TNmjUCQNauXWuy3FJz0a9fP/H19ZVdu3bJrl27xNfXVwYOHFjr8dbLwHvqqackIiLCpK9t27byxhtv1NGI6kZWVpYAkKSkJBERKS0tFYPBILGxsVpNfn6+6PV6Wbx4sYiIXLt2Tezs7CQuLk6rOX/+vFhbW0tCQsL9PYB7JDc3V9q0aSOJiYkSEhKiBR7nR2T69OkSFBRU5XLV52jAgAHy4osvmvQNHTpUxowZIyJqz0/5wLPUXKSmpgoA2bNnj1aze/duASDHjx+v1Rjr3Vuatf2zQvVZ2Z9IcnNzAwCkpaUhMzPTZG50Oh1CQkK0uUlOTkZRUZFJjZeXF3x9fevN/L3yyisYMGAAnnnmGZN+zg+wbt06BAQEYNiwYXB3d0fnzp3xj3/8Q1uu+hwFBQVh69atOHnyJADgyJEj2LlzJ/r37w+A83M7S83F7t27odfr0bVrV62mW7du0Ov1tZ6vB/qXVu5Ebf+sUH0lIpg6dSqCgoLg6+sLANrxVzY3Z86c0Wrs7e3h6upaoaY+zF9cXBySk5Nx4MCBCss4P8Dp06exaNEiTJ06FW+++Sb27duHyZMnQ6fTYezYscrP0fTp02E0GtG2bVvY2NigpKQEc+bMwahRowDwMXQ7S81FZmYm3N3dK2zf3d291vNV7wKvjLl/Vqi+ioyMxE8//YSdO3dWWHYnc1Mf5u/s2bOYMmUKNm/eDAcHhyrrVJ0fACgtLUVAQADmzp0LAOjcuTOOHTuGRYsWYezYsVqdqnO0evVqLF++HCtXrsQTTzyBw4cPIyoqCl5eXhg3bpxWp+r8VMYSc1FZ/Z3MV717S7O2f1aoPpo0aRLWrVuHbdu2oVmzZlq/wWAAgGrnxmAwoLCwENnZ2VXWPKySk5ORlZUFf39/2NrawtbWFklJSfjkk09ga2urHZ+q8wMAnp6eaN++vUlfu3btkJ6eDoCPoWnTpuGNN97AyJEj0aFDB4SHh+Mvf/kLYmJiAHB+bmepuTAYDLh48WKF7V+6dKnW81XvAk/lPyskIoiMjER8fDz++9//omXLlibLW7ZsCYPBYDI3hYWFSEpK0ubG398fdnZ2JjUZGRk4evToQz9/Tz/9NFJSUnD48GGtBQQEYPTo0Th8+DBatWql9PwAQI8ePSp8leXkyZPaD7ar/hi6efMmrK1NXzZtbGy0ryWoPj+3s9RcBAYGwmg0Yt++fVrN3r17YTQaaz9ftbrE5SFR9rWEL7/8UlJTUyUqKkqcnZ3lt99+q+uh3VMTJ04UvV4v//vf/yQjI0NrN2/e1GpiY2NFr9dLfHy8pKSkyKhRoyq9TLhZs2ayZcsWOXjwoPTp0+ehvGTaHLdfpSnC+dm3b5/Y2trKnDlz5NSpU7JixQpxcnKS5cuXazUqz9G4ceOkadOm2tcS4uPjpXHjxvL6669rNSrNT25urhw6dEgOHTokAGT+/Ply6NAh7StglpqLfv36iZ+fn+zevVt2794tHTp04NcSbvfZZ5+Jj4+P2Nvby5NPPqldml+fAai0LVmyRKspLS2V6OhoMRgMotPpJDg4WFJSUky2k5eXJ5GRkeLm5iaOjo4ycOBASU9Pv89Hc3+UDzzOj8j69evF19dXdDqdtG3bVr744guT5SrPUU5OjkyZMkW8vb3FwcFBWrVqJW+99ZYUFBRoNSrNz7Zt2yp9zRk3bpyIWG4urly5IqNHjxYXFxdxcXGR0aNHS3Z2dq3Hyz8PRERESqh3n+ERERFVhoFHRERKYOAREZESGHhERKQEBh4RESmBgUdEREpg4BERkRIYeEREpAQGHhERKYGBR0RESmDgERGREhh4RESkhP8HEu2xovKvlX8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
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    "from csst_cpic_sim import sky_frame_maker\n",
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    "\n",
    "area = 3.14 * 100 ** 2\n",
    "frame = sky_frame_maker('f661', 19, 0.01613, (1024, 1024)) * area\n",
    "psf_imshow(frame)\n",
    "plt.title('sky background frame, 19mag/arcsec$^2$@f661')\n",
    "plt.text(40, 40, f'{frame[1,1]:.3f} photons/pixel/s', color='white')"
   ]
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  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.9.13"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}