GraphingCalculator 4;
Window 46 6 853 1330;
PaneDivider 488;
FontSizes 18;
BackgroundType 0;
StackPanes 1;
2D.Scale 250 5000 1 2;
2D.BottomLeft -14375 -1015.625;
2D.GraphPaper 0;
Text "Deadtime correction.  Effect on rate of changing deadtime.    

Horizontal axis (x) is observed count rate, vertical axis is deadtime-corrected count rate.  Increasing the deadtime T increases the count rate at any fixed observed rate R 

Currently T is in the range 100-200us.";
Color 2;
Expr s=slider([1,2]);
Color 4;
Expr T=s*10^(-4);
Color 5;
Expr ?;
Text "Deadtime corrected rate and uncorrected rate.   Evident that uncorrected rate drastically underestimates true rate at high count rates (relative to 1/T):";
Color 3;
Expr x/(1-(x*T)),0<x<1/T;
Color 17;
Expr x;
Text "Saturation rate:";
Expr x=1/T;
Text "Arbitrary rate:";
Color 8;
Expr R=7000;
Color 17;
Expr x=R;
Text "T=100us curve:";
Color 7;
Expr x/(1-(x*10^(-4))),0<x<1/T;
Text "T=200us curve:";
Color 17;
Expr x/(1-(2*x*10^(-4))),0<x<1/T;