{ "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", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "from CpicImgSim import CosmicRayFrameMaker\n", "cr_gen = CosmicRayFrameMaker()\n", "\n", "crs = cr_gen.random_CR_parameter(10000, [1024, 1024])" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(40, 40, '0.029 photons/pixel/s')" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from CpicImgSim import sky_frame_maker\n", "\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')" ] } ], "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 }