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{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e134b915",
   "metadata": {},
   "source": [
    "# 一维光谱模拟(`spec1d`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0a6280f4",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"..\")\n",
    "\n",
    "from csst_ifs_gehong import spec1d as s\n",
    "from csst_ifs_gehong import config as c\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e0424f7",
   "metadata": {},
   "source": [
    "### 光谱格式配置项\n",
    "\n",
    "`config`模块用来配置模拟光谱的格式,包括波长方向配置(波长范围、波长间隔)和空间方向配置(像素数、像素大小)。默认配置下模拟得到的三维数据立方可直接用于`csst-ifs-etc`的计算。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d21769ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "config = c.config()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "035dcc99",
   "metadata": {},
   "source": [
    "# 电离气体发射线\n",
    "\n",
    "该功能可以用来模拟HII区、行星状星云、AGN窄线区的电离气体发射线模拟。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1324844a",
   "metadata": {},
   "source": [
    "### 电离气体发射线模板配置\n",
    "\n",
    "`spec1d.EmissionLineTemplate`模块用来配置电离气体发射线的模板,单条发射线用高斯模型进行模拟。该模块提供了两个版本的发射线模板:HII区模板(`model = 'hii'`)和AGN窄线区模板(`model = 'nlr'`)。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9b0bced9",
   "metadata": {},
   "outputs": [],
   "source": [
    "gas_tem = s.EmissionLineTemplate(config, model = 'hii')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca04cad5",
   "metadata": {},
   "source": [
    "### HII区发射线光谱模拟\n",
    "\n",
    "`spec1d.HII_Region`模块用来模拟HII区的发射线光谱。基于`cloudy`计算的发射线线强比数据,通过输入的气相金属丰度`logz`选择与之匹配的线强比,通过H$\\alpha$发射线的积分流量`halpha`(单位:$10^{-17} erg/s/cm^2$)确定光谱的绝对流量。该模块考虑了视向速度`vel`产生的红移效应、速度弥散`vdisp`产生的致宽和尘埃消光`ebv`产生的红化。\n",
    "\n",
    "最后模拟得到的光谱流量`.flux`单位为$10^{-17} erg/s/A/cm^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9a538156",
   "metadata": {},
   "outputs": [],
   "source": [
    "gas1 = s.HII_Region(config, gas_tem, halpha = 100, logz = 0,\n",
    "                    vel = 100, vdisp = 120, ebv = 0.1)\n",
    "gas2 = s.HII_Region(config, gas_tem, halpha = 100, logz = -1,\n",
    "                    vel = 100, vdisp = 120, ebv = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35b62cd5",
   "metadata": {},
   "source": [
    "#### 不同气相金属丰度产生的光谱对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ef8ca0e7",
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(gas1.wave, gas1.flux, color='red',alpha=0.5)\n",
    "plt.plot(gas2.wave, gas2.flux, color='blue',alpha=0.5)\n",
    "plt.xlim(min(gas1.wave),max(gas1.wave))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45fee6a5",
   "metadata": {},
   "source": [
    "## 恒星星族光谱\n",
    "\n",
    "该功能可以用来模拟星系的恒星连续谱"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b4a17eb",
   "metadata": {},
   "source": [
    "### 恒星星族模板配置\n",
    "\n",
    "`spec1d.StellarContinuumTemplate`模块用来配置恒星星族模板。该模块采用的是`emiles`的单星族模板。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "175cda54",
   "metadata": {},
   "outputs": [],
   "source": [
    "stellar_tem = s.StellarContinuumTemplate(config)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "539b8b5c",
   "metadata": {},
   "source": [
    "### 恒星连续谱模拟\n",
    "\n",
    "`spec1d.StellarContinuum`模块用来模拟恒星连续谱。基于`spec1d.StellarContinuumTemplate`提供的恒星星族模板,\n",
    "通过输入的年龄`age`和金属丰度`feh`来确定对应的恒星星族模板,通过SDSS r波段星等`mag`来确定光谱的绝对流量。\n",
    "该模块考虑了视向速度`vel`产生的红移效应、速度弥散`vdisp`产生的致宽和尘埃消光`ebv`产生的红化。\n",
    "\n",
    "最后模拟得到的光谱流量`.flux`单位为$10^{-17} erg/s/A/cm^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7e52dec8",
   "metadata": {},
   "outputs": [],
   "source": [
    "stellar1 = s.StellarContinuum(config, stellar_tem, mag = 15, age = 1, feh = 0, vel = 100, vdisp = 100, ebv = 0)\n",
    "stellar2 = s.StellarContinuum(config, stellar_tem, mag = 15, age = 9, feh = 0, vel = 100, vdisp = 100, ebv = 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "91c0aa64",
   "metadata": {},
   "source": [
    "#### 不同气相金属丰度产生的光谱对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9ce60c06",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(stellar1.wave, stellar1.flux, color='red',alpha=0.5)\n",
    "plt.plot(stellar2.wave, stellar2.flux, color='blue',alpha=0.5)\n",
    "plt.xlim(min(stellar1.wave),max(stellar1.wave))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ab31ba3",
   "metadata": {},
   "source": [
    "## 单颗恒星光谱\n",
    "\n",
    "该功能可以用来模拟单颗恒星的光谱"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04947f98",
   "metadata": {},
   "source": [
    "### 恒星光谱模板配置\n",
    "\n",
    "`spec1d.SingleStarTemplate`模块用来配置单颗恒星光谱模板。该模块采用的是`XSL`的恒星光谱模板。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ab457406",
   "metadata": {},
   "outputs": [],
   "source": [
    "star_temp = s.SingleStarTemplate(config)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7381db5",
   "metadata": {},
   "source": [
    "### 单颗恒星光谱模拟\n",
    "\n",
    "`spec1d.SingleStar`模块用来模拟单颗恒星光谱。基于`spec1d.SingleStarTemplate`提供的恒星光谱模板,\n",
    "通过输入的有效温度`teff`和金属丰度`feh`来确定对应的恒星光谱模板,通过SDSS r波段星等`mag`来确定光谱的绝对流量。\n",
    "该模块考虑了视向速度`vel`产生的红移效应和尘埃消光`ebv`产生的红化。\n",
    "\n",
    "最后模拟得到的光谱流量`.flux`单位为$10^{-17} erg/s/A/cm^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "52778f3b",
   "metadata": {},
   "outputs": [],
   "source": [
    "star1 = s.SingleStar(config, star_temp, mag = 15, teff = 10000, feh = 0, vel = 100, ebv = 0)\n",
    "star2 = s.SingleStar(config, star_temp, mag = 15, teff = 6000, feh = 0, vel = 100, ebv = 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b5e6176",
   "metadata": {},
   "source": [
    "#### 不同有效温度产生的光谱对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "fd9ebd72",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(star1.wave, star1.flux, color='red', alpha = 0.5)\n",
    "plt.plot(star2.wave, star2.flux, color='blue', alpha = 0.5)\n",
    "plt.xlim(min(star1.wave),max(star1.wave))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eaa71262",
   "metadata": {},
   "source": [
    "# 活动星系核光谱\n",
    "\n",
    "活动星系核光谱由四个成分组成:窄线区光谱、宽线区光谱、铁线光谱和幂律谱。四个成分的光谱可以分别模拟,也可以一起模拟。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a267d77",
   "metadata": {},
   "source": [
    "## 窄线区光谱"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b2a520c",
   "metadata": {},
   "source": [
    "### 窄线区气体发射线模板\n",
    "\n",
    "与HII区光谱模拟类似,首先需要用`spec1d.EmissionLineTemplate`模块用来配置电离气体发射线的模板,其中模型选择AGN窄线区模板(`model = 'nlr'`)。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1ed37ca5",
   "metadata": {},
   "outputs": [],
   "source": [
    "nlr_temp = s.EmissionLineTemplate(config, model = 'nlr')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de758f42",
   "metadata": {},
   "source": [
    "### 窄线区气体发射线模拟\n",
    "\n",
    "`spec1d.AGN_NLR`模块用来模拟窄线区发射线光谱。基于`cloudy`计算的发射线线强比数据,通过输入的气相金属丰度`logz`选择与之匹配的线强比,通过H$\\alpha$发射线的积分流量`halpha`(单位:$10^{-17} erg/s/cm^2$)确定光谱的绝对流量。该模块考虑了视向速度`vel`产生的红移效应、速度弥散`vdisp`产生的致宽和尘埃消光`ebv`产生的红化。\n",
    "\n",
    "最后模拟得到的光谱流量`.flux`单位为$10^{-17} erg/s/A/cm^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "557791dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "nlr  = s.AGN_NLR(config, nlr_temp, halpha = 100, logz = 0, vel = 1000, vdisp = 400, ebv = 0.1)\n",
    "nlr1 = s.AGN_NLR(config, nlr_temp, halpha = 100, logz = -1, vel = 1000, vdisp = 400, ebv = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8e89188",
   "metadata": {},
   "source": [
    "#### 不同气相金属丰度的窄线区光谱对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "75e38509",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(nlr.wave, nlr.flux, color='red',alpha=0.5)\n",
    "plt.plot(nlr1.wave, nlr1.flux, color='blue',alpha=0.5)\n",
    "plt.xlim(min(nlr.wave),max(nlr.wave))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bcf6c9c",
   "metadata": {},
   "source": [
    "## 宽线区光谱"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2b00aae",
   "metadata": {},
   "source": [
    "### 宽线区气体发射线模拟\n",
    "\n",
    "`spec1d.AGN_BLR`模块用来模拟窄线区发射线光谱。发射线线强比采用了Mrk817的观测结果,由H$\\beta$半高全宽`hbeta_fwhm`来确定发射线线宽,由H$\\beta$发射线的积分流量`hbeta_flux`(单位:$10^{-17} erg/s/cm^2$)确定光谱的绝对流量。该模块考虑了视向速度`vel`产生的红移效应和尘埃消光`ebv`产生的红化。\n",
    "\n",
    "最后模拟得到的光谱流量`.flux`单位为$10^{-17} erg/s/A/cm^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4dc7f3f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "blr  = s.AGN_BLR(config, hbeta_flux = 100.0, hbeta_fwhm = 2000.0, vel = 1000, ebv = 0.1)\n",
    "blr1 = s.AGN_BLR(config, hbeta_flux = 100.0, hbeta_fwhm = 5000.0, vel = 1000, ebv = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac2d1cf1",
   "metadata": {},
   "source": [
    "### 不同半高全宽的宽线区光谱对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "41b33d66",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(blr.wave, blr.flux, color='red',alpha=0.5)\n",
    "plt.plot(blr1.wave, blr1.flux, color='blue',alpha=0.5)\n",
    "plt.xlim(min(blr.wave),max(blr.wave))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3293db33",
   "metadata": {},
   "source": [
    "## 铁发射线光谱"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "439f234c",
   "metadata": {},
   "source": [
    "### 铁发射线光谱模拟\n",
    "\n",
    "`spec1d.AGN_FeII`模块用来模拟AGN中的铁线发射。发射线模板采用了Park et al. (2022)的观测结果。由H$\\beta$宽发射线的积分流量`hbeta_broad`和`r4570`(表征H$\\beta$宽线流量与Fe4750流量之比)来决定模拟的铁发射线绝对流量。该模块考虑了视向速度`vel`产生的红移效应和尘埃消光`ebv`产生的红化。\n",
    "\n",
    "最后模拟得到的光谱流量`.flux`单位为$10^{-17} erg/s/A/cm^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "756b1ff2",
   "metadata": {},
   "outputs": [],
   "source": [
    "fe = s.AGN_FeII(config, hbeta_broad = 100.0, r4570 = 0.4, ebv = 0.1, vel = 100.0)\n",
    "fe1 = s.AGN_FeII(config, hbeta_broad = 200.0, r4570 = 0.4, ebv = 0.1, vel = 100.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46101dd7",
   "metadata": {},
   "source": [
    "### 不同H$\\beta$宽线流量的铁发射线光谱对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "2e1f5fb0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(fe.wave, fe.flux, color='red',alpha=0.5)\n",
    "plt.plot(fe1.wave, fe1.flux, color='blue',alpha=0.5)\n",
    "plt.xlim(3800, 6000)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5809ab5a",
   "metadata": {},
   "source": [
    "## 幂律谱"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cb1fb03",
   "metadata": {},
   "source": [
    "### 幂律谱模拟\n",
    "\n",
    "`spec1d.AGN_Powerlaw`模块用来模拟AGN中的幂律谱。该模块由5100A处的平均流量`m5100`(单位:$10^{-17} erg/s/A/cm^2$)来决定模拟幂律谱的绝对流量,由幂律谱指数`alpha`来决定幂律谱的谱形。该模块考虑了视向速度`vel`产生的红移效应和尘埃消光`ebv`产生的红化。\n",
    "\n",
    "最后模拟得到的光谱流量`.flux`单位为$10^{-17} erg/s/A/cm^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "a037bd08",
   "metadata": {},
   "outputs": [],
   "source": [
    "pl = s.AGN_Powerlaw(config, m5100 = 17, alpha = -1.5, vel = 1000, ebv = 0.1)\n",
    "pl1 = s.AGN_Powerlaw(config, m5100 = 17, alpha = -1.0, vel = 1000, ebv = 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d437165",
   "metadata": {},
   "source": [
    "### 不同谱指数的幂律谱对比"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "3d6c1673",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(pl.wave, pl.flux, color='red',alpha=0.5)\n",
    "plt.plot(pl1.wave, pl1.flux, color='blue',alpha=0.5)\n",
    "plt.xlim(min(pl.wave),max(pl.wave))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "edac1996",
   "metadata": {},
   "source": [
    "## 活动星系核光谱模拟\n",
    "\n",
    "`spec1d.AGN`模块可以直接用来模拟AGN的光谱。其中:\n",
    "- 决定窄线区光谱:`nlr_temp`为窄线区发射线模板,`halpha_narrow`为H$\\alpha$窄线成分流量,`vdisp_narrow`为H$\\alpha$窄线成分速度弥散,`logz`为窄线成分气相金属丰度\n",
    "- 决定宽线区光谱:`halpha_broad`为H$\\alpha$宽线成分流量,`vdisp_broad`为H$\\alpha$宽线成分速度弥散\n",
    "- 决定铁线光谱:`halpha_broad`为H$\\alpha$宽线成分流量(宽线成分和铁线成分信息绑定)\n",
    "- 决定幂律谱:`bhmass`为黑洞质量,`edd_ratio`为爱丁顿比,两者决定5100A处的光度,`dist`为光度距离,决定5100A处的观测流量\n",
    "\n",
    "该模块考虑了视向速度`vel`产生的红移效应和尘埃消光`ebv`产生的红化。\n",
    "\n",
    "最后模拟得到的光谱流量`.flux`单位为$10^{-17} erg/s/A/cm^2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d4aeb54f",
   "metadata": {},
   "outputs": [],
   "source": [
    "agn1 = s.AGN(config, nlr_temp, bhmass = 1e5, edd_ratio = 0.05,\n",
    "             halpha_broad = 100, halpha_narrow = 300, vdisp_broad = 5000, vdisp_narrow = 500, \n",
    "             vel = 1000, logz = 0, ebv = 0.1, dist = 20)\n",
    "agn2 = s.AGN(config, nlr_temp, bhmass = 1e5, edd_ratio = 0.05,\n",
    "             halpha_broad = 300, halpha_narrow = 100, vdisp_broad = 5000, vdisp_narrow = 500, \n",
    "             vel = 1000, logz = 0, ebv = 0.1, dist = 20)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1730e958",
   "metadata": {},
   "source": [
    "### AGN光谱模拟展示"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "f66603c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,4))\n",
    "plt.plot(agn1.wave, agn1.flux, color = 'red', alpha = 0.5)\n",
    "plt.plot(agn2.wave, agn2.flux, color = 'blue', alpha = 0.5)\n",
    "plt.xlim(min(agn1.wave),max(agn1.wave))\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}