File:KellerDoyaT.png

Comparison of the transfer functions for realistic laser amplifiers at the continuous–wave operation (the Doya function) and for the short pulses (the Keller function).

C++ Generator of cureves

// Files doya.cin and ado.cin should be loaded to the working directory in order to compile the C++ code below:

#include <math.h> 
#include <stdio.h>
#include <stdlib.h>
#define DB double
#define DO(x,y) for(x=0;x<y;x++)
using namespace std;
#include <complex>
typedef complex<double> z_type;
#define Re(x) x.real()
#define Im(x) x.imag()
#define I z_type(0.,1.)

#include"ado.cin"
#include"doya.cin"

z_type Shoka(z_type  z)  { return z + log(exp(-z)+(M_E-1.)); }
z_type ArcShoka(z_type z){ return z + log((1.-exp(-z))/(M_E-1.)) ;}  

#define M(x,y) fprintf(o,"%6.3f %6.3f M\n",0.+x,0.+y);
#define L(x,y) fprintf(o,"%6.3f %6.3f L\n",0.+x,0.+y);
main(){ int j,k,m,n; DB x,y, a;
FILE *o;o=fopen("KellerDoya.eps","w");ado(o,308,410);
fprintf(o,"4 4 translate\n 100 100 scale 2 setlinecap 1 setlinejoin\n");
for(m=0;m<4;m++){ M(m,0)L(m,4)}
for(n=0;n<5;n++){ M(0,n)L(3,n)}
// M(0,0)L(3,3) 
fprintf(o,".004 W 0 0 0 RGB S\n");
DO(n,154){x=.005+.02*n;y=Re(Shoka(1.+ArcShoka(x)));if(n==0)M(x,y)else L(x,y)} fprintf(o,".02 W 0 0 .6 RGB S\n");
DO(n,154){x=.005+.02*n;y=Re(Tania(1.+ArcTania(x)));if(n==0)M(x,y)else L(x,y)} fprintf(o,".02 W .6 0 0 RGB S\n");
fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
    system("epstopdf KellerDoya.eps");
    system(    "open KellerDoya.pdf"); //these 2 commands may be specific for macintosh
getchar(); system("killall Preview");// if run at another operational sysetm, may need to modify
}

Latex generator of labels

% File KellerDoya.pdf should be generated with the code above in order to compile the Latex document below. %%
\documentclass[12pt]{article} %
\usepackage{geometry} %
\usepackage{graphicx} %
\usepackage{rotating} %
\paperwidth 318pt %
\paperheight 424pt %
\topmargin -104pt %
\oddsidemargin -83pt %
\textwidth 1200pt %
\textheight 600pt %
\pagestyle {empty} %
\newcommand \sx {\scalebox} %
\newcommand \rot {\begin{rotate}} %<br> \newcommand \ero {\end{rotate}} %
\newcommand \ing {\includegraphics} %
\begin{document} %<br> \sx{1}{ \begin{picture}(310,410) %<br> \put(1,9){\ing{KellerDoya}} % <br> \put(-12,400){\sx{2.8}{$y$}} % <br> \put(-12,303){\sx{2.8}{$3$}} % <br> \put(-12,203){\sx{2.8}{$2$}} % <br> \put(-12,103){\sx{2.8}{$1$}} % <br> \put(0,-8){\sx{2.5}{$0$}} % <br> \put(100,-8){\sx{2.5}{$1$}} % <br> \put(200,-8){\sx{2.5}{$2$}} % <br> %\put(300,-9){\sx{2.5}{$3$}} % <br> \put(292,-7){\sx{2.6}{$x$}} % <br> %\put(560,214){\rot{37}\sx{4}{$y=\mathrm{Tania}(x)$}\ero} % <br> %\put( 88,354){\rot{53}\sx{2.8}{$t\!=\!3$}\ero} %<br> %\put(160,354){\rot{50}\sx{2.8}{$t\!=\!2$}\ero} %<br> \put(158,264){\rot{48}\sx{2.8}{$y\!=\!\mathrm{Keller}(x)$}\ero} %<br> \put(190,231){\rot{47}\sx{2.8}{$y\!=\!\mathrm{Doya}(x)$}\ero} %<br> \end{picture} %
} %
\end{document}$
% Copyleft 2011 by Dmitrii Kouznetsov %
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