1 | #include "sopnamsp.h"
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2 | #include "machdefs.h"
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3 | #include <iostream>
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4 | #include <stdlib.h>
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5 | #include <stdio.h>
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6 | #include <string.h>
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7 | #include <math.h>
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8 | #include <unistd.h>
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9 |
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10 | #include "constcosmo.h"
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11 | #include "cosmocalc.h"
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12 | #include "geneutils.h"
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13 | #include "integfunc.h"
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14 | #include "schechter.h"
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15 | #include "planckspectra.h"
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16 |
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17 | inline double rad2deg(double trad) {return trad/M_PI*180.;}
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18 | inline double rad2min(double trad) {return trad/M_PI*180.*60.;}
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19 | inline double rad2sec(double trad) {return trad/M_PI*180.*3600.;}
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20 | inline double deg2rad(double tdeg) {return tdeg*M_PI/180.;}
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21 | inline double min2rad(double tmin) {return tmin*M_PI/(180.*60.);}
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22 | inline double sec2rad(double tsec) {return tsec*M_PI/(180.*3600.);}
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23 |
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24 | void usage(void);
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25 | void usage(void) {
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26 | cout<<"cmvdefsurv [-r] -x adtx,atxlarg [-y adty,atylarg] -z dred,redlarg redshift"<<endl
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27 | <<" -x adtx,atxlarg : resolution en Theta_x (arcmin), largeur (degre)"<<endl
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28 | <<" -y adty,atylarg : idem selon y, si <=0 meme que x"<<endl
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29 | <<" -z dred,redlarg : resolution en redshift, largeur en redshift"<<endl
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30 | <<" -P : on donne -x -y -z en Mpc aulieu d\'angles et de redshift"<<endl
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31 | <<" -O surf,tobs : surface effective (m^2) et temps d\'observation (s)"<<endl
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32 | <<" -A Tbruit : temperature de bruit (K)"<<endl
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33 | <<" -S Tsynch,indnu : temperature (K) synch a 408 Mhz, index d\'evolution"<<endl
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34 | <<" (indnu==0 no evolution with freq.)"<<endl
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35 | <<" -M : masse de HI de reference (MSol), si <=0 mean schechter"<<endl
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36 | <<" -F : HI flux factor to be applied for our redshift"<<endl
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37 | <<" -1 : on ne mesure qu\'une polarisation"<<endl
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38 | <<" redshift : redshift moyen du survey"<<endl
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39 | <<endl;
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40 | }
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41 |
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42 | int main(int narg,char *arg[])
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43 | {
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44 | // --- Valeurs fixes
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45 | // WMAP
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46 | unsigned short flat = 0;
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47 | double h100=0.71, om0=0.267804, or0=7.9e-05, ol0=0.73,w0=-1.;
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48 | cout<<"\nh100="<<h100<<" Om0="<<om0<<" Or0="<<or0<<" Or0="<<or0<<" Ol0="<<ol0<<" w0="<<w0<<endl;
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49 | // Schechter
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50 | double h75 = h100 / 0.75;
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51 | double nstar = 0.006*pow(h75,3.); //
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52 | double mstar = pow(10.,9.8/(h75*h75)); // MSol
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53 | double alpha = -1.37;
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54 | cout<<"nstar= "<<nstar<<" mstar="<<mstar<<" alpha="<<alpha<<endl;
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55 |
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56 |
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57 | // --- Arguments
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58 | bool inmpc = false;
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59 | double adtx=1., atxlarg=90., adty=-1., atylarg=-1.;
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60 | double dx=1.,txlarg=1000., dy=-1.,tylarg=1000., dz=1.,tzlarg=100.;
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61 | int nx,ny,nz;
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62 | double redshift = 1., dred=0.01, redlarg=0.3;
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63 | double tobs = 3600., surfeff = 400000.;
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64 | double Tbruit=75.;
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65 | // a 408 MHz (Haslam) + evol index a -2.6
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66 | double Tsynch408=60., nuhaslam=0.408, indnu = -2.6;
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67 | double mhiref = -1.; // reference Mass en HI (def integ schechter)
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68 | double hifactor = 1.;
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69 | double facpolar = 1.; // si on ne mesure qu'un polarisation 0.5
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70 |
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71 | // --- Decodage arguments
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72 | char c;
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73 | while((c = getopt(narg,arg,"hP1x:y:z:A:S:O:M:F:")) != -1) {
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74 | switch (c) {
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75 | case 'P' :
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76 | inmpc = true;
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77 | break;
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78 | case 'x' :
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79 | sscanf(optarg,"%lf,%lf",&adtx,&atxlarg);
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80 | break;
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81 | case 'y' :
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82 | sscanf(optarg,"%lf,%lf",&adty,&atylarg);
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83 | break;
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84 | case 'z' :
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85 | sscanf(optarg,"%lf,%lf",&dred,&redlarg);
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86 | break;
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87 | case 'O' :
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88 | sscanf(optarg,"%lf,%lf",&surfeff,&tobs);
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89 | break;
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90 | case 'A' :
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91 | sscanf(optarg,"%lf",&Tbruit);
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92 | break;
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93 | case 'S' :
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94 | sscanf(optarg,"%lf,%lf",&Tsynch408,&indnu);
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95 | break;
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96 | case 'M' :
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97 | sscanf(optarg,"%lf",&mhiref);
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98 | break;
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99 | case 'F' :
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100 | sscanf(optarg,"%lf",&hifactor);
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101 | break;
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102 | case '1' :
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103 | facpolar = 0.5;
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104 | break;
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105 | case 'h' :
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106 | default :
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107 | usage(); return -1;
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108 | }
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109 | }
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110 | if(optind>=narg) {usage(); return-1;}
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111 | sscanf(arg[optind],"%lf",&redshift);
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112 | if(redshift<=0.) {cout<<"Redshift "<<redshift<<" should be >0"<<endl; return -2;}
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113 |
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114 | // --- Initialisation de la Cosmologie
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115 | cout<<"\n--- Cosmology for z = "<<redshift<<endl;
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116 | CosmoCalc univ(flat,true,2.*redshift);
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117 | double perc=0.01,dzinc=redshift/100.,dzmax=dzinc*10.; unsigned short glorder=4;
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118 | univ.SetInteg(perc,dzinc,dzmax,glorder);
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119 | univ.SetDynParam(h100,om0,or0,ol0,w0);
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120 | univ.Print(redshift);
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121 |
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122 | double dang = univ.Dang(redshift);
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123 | double dtrcom = univ.Dtrcom(redshift);
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124 | double dlum = univ.Dlum(redshift);
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125 | double dloscom = univ.Dloscom(redshift);
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126 | double dlosdz = univ.Dhubble()/univ.E(redshift);
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127 | cout<<"dang="<<dang<<" dlum="<<dlum<<" dtrcom="<<dtrcom
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128 | <<" dloscom="<<dloscom<<" dlosdz="<<dlosdz<<" Mpc"<<endl;
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129 |
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130 | cout<<"\n1\" -> "<<dang*sec2rad(1.)<<" Mpc = "<<dtrcom*sec2rad(1.)<<" Mpc com"<<endl;
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131 | cout<<"1\' -> "<<dang*min2rad(1.)<<" Mpc = "<<dtrcom*min2rad(1.)<<" Mpc com"<<endl;
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132 | cout<<"1d -> "<<dang*deg2rad(1.)<<" Mpc = "<<dtrcom*deg2rad(1.)<<" Mpc com"<<endl;
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133 |
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134 | cout<<"dz=1 -> "<<dlosdz<<" Mpc com"<<endl;
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135 |
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136 | cout<<"1 Mpc los com -> dz = "<<1./dlosdz<<endl;
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137 | cout<<"1 Mpc transv com -> "<<rad2sec(1./dtrcom)<<"\" = "
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138 | <<rad2min(1./dtrcom)<<" \' = "<<rad2deg(1./dtrcom)<<" d"<<endl;
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139 |
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140 | // --- Mise en forme dans les unites appropriees
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141 | if(adty<=0.) adty=adtx;
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142 | if(atylarg<=0.) atylarg=atxlarg;
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143 | if(inmpc) {
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144 | dx = adtx; txlarg = atxlarg; nx = int(txlarg/dx+0.5);
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145 | dy = adty; txlarg = atxlarg; ny = int(tylarg/dy+0.5);
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146 | dz = dred; tzlarg = redlarg; nz = int(tzlarg/dz+0.5);
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147 | adtx = dx/dtrcom; atxlarg = adtx*nx;
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148 | adty = dy/dtrcom; atylarg = adty*ny;
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149 | dred = dz/dlosdz; redlarg = dred*nz;
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150 | } else {
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151 | adtx = min2rad(adtx); atxlarg = deg2rad(atxlarg); nx = int(atxlarg/adtx+0.5);
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152 | adty = min2rad(adty); atylarg = deg2rad(atylarg); ny = int(atylarg/adty+0.5);
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153 | nz = int(redlarg/dred+0.5);
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154 | dx = adtx*dtrcom; txlarg = dx*nx;
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155 | dy = adty*dtrcom; tylarg = dy*ny;
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156 | dz = dred*dlosdz; tzlarg = dz*nz;
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157 | }
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158 | double Npix = (double)nx*(double)ny*(double)nz;
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159 |
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160 | double redlim[2] = {redshift-redlarg/2.,redshift+redlarg/2.};
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161 | if(redlim[0]<=0.)
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162 | {cout<<"Lower redshift limit "<<redlim[0]<<" should be >0"<<endl; return -3;}
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163 | double dtrlim[2] = {univ.Dtrcom(redlim[0]),univ.Dtrcom(redlim[1])};
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164 | double loslim[2] = {univ.Dloscom(redlim[0]), univ.Dloscom(redlim[1])};
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165 | double dlumlim[2] = {univ.Dlum(redlim[0]),univ.Dlum(redlim[1])};
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166 |
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167 | cout<<"\n---- Type de donnees: inmpc = "<<inmpc<<endl;
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168 | cout<<"---- Line of Sight: Redshift = "<<redshift<<endl
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169 | <<"dred = "<<dred<<" redlarg = "<<redlarg<<endl
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170 | <<" dz = "<<dz<<" Mpc redlarg = "<<tzlarg<<" Mpc, nz = "<<nz<<" pix"<<endl;
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171 | cout<<"---- Transverse X:"<<endl
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172 | <<"adtx = "<<rad2min(adtx)<<"\', atxlarg = "<<rad2deg(atxlarg)<<" d"<<endl
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173 | <<" dx = "<<dx<<" Mpc, txlarg = "<<txlarg<<" Mpc, nx = "<<nx<<" pix"<<endl;
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174 | cout<<"---- Transverse Y:"<<endl
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175 | <<"adty = "<<rad2min(adty)<<"\', atylarg = "<<rad2deg(atylarg)<<" d"<<endl
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176 | <<" dy = "<<dy<<" Mpc, tylarg = "<<tylarg<<" Mpc, ny = "<<ny<<" pix"<<endl;
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177 | cout<<"---- Npix total = "<<Npix<<" -> "<<Npix*sizeof(double)/1.e6<<" Mo"<<endl;
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178 |
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179 | // --- Cosmolographie Transverse
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180 | cout<<"\n--- Transverse"<<endl;
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181 | cout<<"dang comoving = "<<dtrcom<<" Mpc (com) var_in_z ["
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182 | <<dtrlim[0]<<","<<dtrlim[1]<<"]"<<endl;
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183 |
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184 | cout<<"... dx = "<<dx<<" Mpc (com), with angle "<<adtx*dtrcom<<endl
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185 | <<" with angle var_in_z ["<<adtx*dtrlim[0]<<","<<adtx*dtrlim[1]<<"]"<<endl;
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186 | cout<<"... largx = "<<txlarg<<" Mpc (com), with angle "<<atxlarg*dtrcom<<endl
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187 | <<" with angle var_in_z ["<<atxlarg*dtrlim[0]<<","<<atxlarg*dtrlim[1]<<"]"<<endl;
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188 |
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189 | cout<<"... dy = "<<dy<<" Mpc (com), with angle "<<adty*dtrcom<<endl
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190 | <<" with angle var_in_z ["<<adty*dtrlim[0]<<","<<adty*dtrlim[1]<<"]"<<endl;
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191 | cout<<"... largy = "<<tylarg<<" Mpc (com), with angle "<<atylarg*dtrcom<<endl
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192 | <<" with angle var_in_z ["<<atylarg*dtrlim[0]<<","<<atylarg*dtrlim[1]<<"]"<<endl;
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193 |
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194 | // --- Cosmolographie Line of sight
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195 | cout<<"\n--- Line of Sight"<<endl;
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196 | cout<<"los comoving distance = "<<dloscom<<" Mpc (com) in ["
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197 | <<loslim[0]<<","<<loslim[1]<<"]"<<endl
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198 | <<" diff = "
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199 | <<loslim[1]-loslim[0]<<" Mpc"<<endl;
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200 |
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201 | cout<<"...dz = "<<dz<<" Mpc (com), with redshift approx "<<dred*dlosdz<<endl;
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202 | cout<<"...tzlarg = "<<tzlarg<<" Mpc (com), with redshift approx "<<redlarg*dlosdz<<endl;
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203 |
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204 | // --- Solid Angle & Volume
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205 | cout<<"\n--- Solid angle"<<endl;
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206 | double angsol = AngSol(adtx/2.,adty/2.,M_PI/2.);
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207 | cout<<"Elementary solid angle = "<<angsol<<" sr = "<<angsol/(4.*M_PI)<<" *4Pi sr"<<endl;
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208 | double angsoltot = AngSol(atxlarg/2.,atylarg/2.,M_PI/2.);
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209 | cout<<"Total solid angle = "<<angsoltot<<" sr = "<<angsoltot/(4.*M_PI)<<" *4Pi sr"<<endl;
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210 |
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211 | cout<<"\n--- Volume"<<endl;
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212 | double dvol = dx*dy*dz;
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213 | cout<<"Pixel volume comoving = "<<dvol<<" Mpc^3"<<endl;
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214 | double vol = univ.Vol4Pi(redlim[0],redlim[1])/(4.*M_PI)*angsoltot;
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215 | cout<<"Volume comoving = "<<vol<<" Mpc^3 = "<<vol/1.e9<<" Gpc^3"<<endl
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216 | <<"Pixel volume comoving = vol/Npix = "<<vol/Npix<<" Mpc^3"<<endl;
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217 |
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218 | // --- Fourier space: k = omega = 2*Pi*Nu
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219 | cout<<"\n--- Fourier space"<<endl;
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220 | cout<<"Array size: nx = "<<nx<<", ny = "<<ny<<", nz = "<<nz<<endl;
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221 | double dk_x = 2.*M_PI/(nx*dx), knyq_x = M_PI/dx;
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222 | double dk_y = 2.*M_PI/(nx*dy), knyq_y = M_PI/dy;
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223 | double dk_z = 2.*M_PI/(nz*dz), knyq_z = M_PI/dz;
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224 | cout<<"Resolution: dk_x = "<<dk_x<<" Mpc^-1 (2Pi/dk_x="<<2.*M_PI/dk_x<<" Mpc)"<<endl
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225 | <<" dk_y = "<<dk_y<<" Mpc^-1 (2Pi/dk_y="<<2.*M_PI/dk_y<<" Mpc)"<<endl;
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226 | cout<<"Nyquist: kx = "<<knyq_x<<" Mpc^-1 (2Pi/knyq_x="<<2.*M_PI/knyq_x<<" Mpc)"<<endl
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227 | <<" ky = "<<knyq_y<<" Mpc^-1 (2Pi/knyq_y="<<2.*M_PI/knyq_y<<" Mpc)"<<endl;
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228 | cout<<"Resolution: dk_z = "<<dk_z<<" Mpc^-1 (2Pi/dk_z="<<2.*M_PI/dk_z<<" Mpc)"<<endl;
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229 | cout<<"Nyquist: kz = "<<knyq_z<<" Mpc^-1 (2Pi/knyq_z="<<2.*M_PI/knyq_z<<" Mpc)"<<endl;
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230 |
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231 | // --- Masse de HI
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232 | cout<<"\n--- Mass HI"<<endl;
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233 | Schechter sch(nstar,mstar,alpha);
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234 | sch.SetOutValue(1);
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235 | cout<<"nstar= "<<nstar<<" mstar="<<mstar<<" alpha="<<alpha<<endl;
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236 | cout<<"mstar*sch(mstar) = "<<sch(mstar)<<" Msol/Mpc^3/Msol"<<endl;
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237 | int npt = 10000;
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238 | double lnx1=log10(1e-6), lnx2=log10(1e+14), dlnx=(lnx2-lnx1)/npt;
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239 | double masshimpc3 = IntegrateFuncLog(sch,lnx1,lnx2,0.001,dlnx,10.*dlnx,6);
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240 | cout<<"Mass density: "<<masshimpc3<<" Msol/Mpc^3"<<endl;
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241 |
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242 | double masshipix = masshimpc3*dvol;
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243 | double masshitot = masshimpc3*vol;
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244 | cout<<"Pixel mass = "<<masshipix<<" Msol"<<endl
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245 | <<"Total mass in survey = "<<masshitot<<" Msol"<<endl;
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246 | if(mhiref<=0.) mhiref = masshipix;
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247 |
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248 | // --- Survey values
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249 | double unplusz = 1.+redshift;
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250 | double nuhiz = Fr_HyperFin_Par / unplusz; // GHz
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251 | // dnu = NuHi/(1.+z0-dz/2) - NuHi/(1.+z0+dz/2)
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252 | // = NuHi*dz/(1.+z0)^2 * 1/[1-(dz/(2*(1+z0)))^2]
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253 | double dnuhiz = Fr_HyperFin_Par *dred/(unplusz*unplusz)
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254 | / (1.- (dred/.2/unplusz)*(dred/.2/unplusz));
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255 | cout<<"\n--- Observation:"<<endl
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256 | <<" surf_eff="<<surfeff<<" m^2, tobs="<<tobs<<" s"<<endl
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257 | <<" nu="<<nuhiz<<" GHz, dnu="<<dnuhiz*1.e3<<" Mhz"<<endl;
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258 | cout<<"dang lumi = "<<dlum<<" in ["<<dlumlim[0]<<","<<dlumlim[1]<<"] Mpc"<<endl;
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259 |
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260 | // --- Power emitted by HI
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261 | cout<<"\n--- Power from HI for M = "<<mhiref<<" Msol at "<<nuhiz<<" GHz"<<endl;
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262 | cout<<"flux factor = "<<hifactor<<" at redshift = "<<redshift<<endl;
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263 |
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264 | double fhi = hifactor*FluxHI(mhiref,dlum);
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265 | cout<<"FluxHI("<<dlum<<" Mpc) all polar:"<<endl
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266 | <<" Flux= "<<fhi<<" W/m^2 = "<<fhi/Jansky2Watt_cst<<" Jy.Hz"<<endl
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267 | <<" in ["<<hifactor*FluxHI(mhiref,dlumlim[0])
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268 | <<","<<hifactor*FluxHI(mhiref,dlumlim[1])<<"] W/m^2"<<endl;
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269 | double sfhi = fhi / (dnuhiz*1.e+9) / Jansky2Watt_cst;
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270 | cout<<"If spread over "<<dnuhiz<<" GHz, flux density = "<<sfhi<<" Jy"<<endl;
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271 |
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272 | // --- Signal analysis
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273 | cout<<"\n--- Signal analysis"<<endl;
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274 | PlanckSpectra planck(T_CMB_Par);
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275 | planck.SetApprox(1); // Rayleigh spectra
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276 | planck.SetVar(0); // frequency
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277 | planck.SetUnitOut(0); // output en W/....
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278 | planck.SetTypSpectra(0); // radiance W/m^2/Sr/Hz
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279 |
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280 | double hnu = h_Planck_Cst*(nuhiz*1.e+9);
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281 | cout<<"Facteur polar = "<<facpolar<<", h.nu="<<hnu<<" J"<<endl;
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282 |
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283 | double psig = facpolar * fhi * surfeff;
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284 | double esig = psig * tobs;
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285 | double nsig = esig / hnu;
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286 | double tsig = psig / k_Boltzman_Cst / (dnuhiz*1.e+9);
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287 | double ssig = psig / surfeff / (dnuhiz*1.e+9) / Jansky2Watt_cst;
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288 | cout<<"Signal("<<mhiref<<" Msol): P="<<psig<<" W -> E="<<esig<<" J -> "<<nsig<<" ph"<<endl;
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289 | cout<<" Antenna temperature: tsig="<<tsig<<" K"<<endl;
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290 | cout<<" flux density = "<<ssig<<" Jy"<<endl;
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291 |
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292 | double facnoise = facpolar * tobs * surfeff * angsol * (dnuhiz*1.e+9);
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293 |
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294 | double tsynch = Tsynch408;
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295 | if(fabs(indnu)>1.e-50) tsynch *= pow(nuhiz/nuhaslam,indnu);
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296 | planck.SetTemperature(tsynch);
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297 | double psynch = facpolar * planck(nuhiz*1.e+9) * surfeff * angsol * (dnuhiz*1.e+9);
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298 | double esynch = psynch * tobs;
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299 | double nsynch = esynch / hnu;
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300 | double ssynch = psynch / surfeff / (dnuhiz*1.e+9) / Jansky2Watt_cst;
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301 | cout<<"Synchrotron: T="<<Tsynch408<<" K ("<<nuhaslam<<" GHz), "
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302 | <<tsynch<<" K ("<<nuhiz<<" GHz)"<<endl
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303 | <<" P="<<psynch<<" W -> E="<<esynch<<" J -> "<<nsynch<<" ph"<<endl;
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304 | cout<<" flux density = "<<ssynch<<" Jy"<<endl;
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305 |
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306 | double tcmb = T_CMB_Par;
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307 | planck.SetTemperature(tcmb);
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308 | double pcmb = facpolar * planck(nuhiz*1.e+9) * surfeff * angsol * (dnuhiz*1.e+9);
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309 | double ecmb = pcmb * tobs;
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310 | double ncmb = ecmb / hnu;
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311 | double scmb = pcmb / surfeff / (dnuhiz*1.e+9) / Jansky2Watt_cst;
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312 | cout<<"CMB: T="<<tcmb<<" K -> P="<<pcmb<<" W -> E="<<ecmb<<" J -> "<<ncmb<<" ph"<<endl;
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313 | cout<<" flux density = "<<scmb<<" Jy"<<endl;
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314 |
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315 | // --- Noise analysis
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316 | cout<<"\n--- Noise analysis"<<endl;
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317 | double pbruit = k_Boltzman_Cst * Tbruit * (dnuhiz*1.e+9);
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318 | double ebruit = pbruit * tobs;
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319 | cout<<"Bruit: T="<<Tbruit<<" K, P="<<pbruit<<" W -> E="<<ebruit<<" J"<<endl;
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320 |
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321 | double seq = (1./facpolar) * k_Boltzman_Cst * Tbruit / surfeff /Jansky2Watt_cst;
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322 | cout<<"\nSystem equivalent flux density: "<<seq<<" Jy"<<endl;
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323 |
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324 | double slim = seq / sqrt(2.*(dnuhiz*1.e+9)*tobs);
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325 | cout<<"Observation flux density limit: "<<slim<<" Jy"<<endl;
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326 |
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327 | double SsN = ssig/slim;
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328 | cout<<"\nSignal to noise ratio = "<<SsN<<endl;
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329 |
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330 | double smass = mhiref/ssig*slim;
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331 | cout<<"\nSigma noise equivalent = "<<smass<<" Msol"<<endl;
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332 |
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333 | return 0;
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334 | }
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