# script to show Green's function for the damped harmonic oscillator

set terminal postscript eps enhanced color font "Times-Italic,24pt" size 12cm,4cm dashlength 2.0 
set output 'greenfunc.eps'

set border 0
#set tics nomirror
set xrange [-3:10]
set yrange [-1.:1.0]
unset xtics
unset ytics


y(t,om1,beta)=(t<0)?0:exp(-beta*t)*sin(om1*t)

set arrow 1 from 0,-1.2 to 0,1.2 lw 1 filled
set arrow 2 from -3,0 to 10.5,0 lw 1 filled

set label 1 "t" at 10.5,-.25
set label 2 "g{/Times-Roman (}t{/Times-Roman )}" at -1.,1.1


plot y(x,4,.5) lt 1 lc rgb 'red' lw 3 notitle