set terminal postscript eps color enhanced solid font "Helvetica,15" size 4cm,4cm
set colorsequence classic
set output 'profile.eps'

unset style fill
set pm3d map
#set palette defined (0 '#67001f',1 '#b2182b',2 '#d6604d',3 '#f4a582',4 '#fddbc7',5 '#d1e5f0',6 '#92c5de',7 '#4393c3',8 '#2166ac',9 '#053061')
#set palette rgb 34,35,36; 
set palette gray
set palette negative

set cbrange [0:0.6] #saturation factor
set isosamples 70

f0(x,y)=exp(-2*(x**2+y**2))
f1(x,y)=exp(-2*(x**2+y**2))*(-2*(x**2+y**2)+1)**2
f2(x,y)=exp(-2*(x**2+y**2))*(0.5*(2*(x**2+y**2))**2-2*(2*(x**2+y**2))+1)**2
f3(x,y)=exp(-2*(x**2+y**2))*(-(2*(x**2+y**2))**3/6+9*(2*(x**2+y**2))**2/6-3*(2*(x**2+y**2))+1)**2

#set label 1 front "LG_{00}" at 0,-2.8 center
unset xtics
unset ytics
unset cbtics
unset xlabel
unset ylabel
unset cblabel
set xrange [-2.7:2.7] 
set yrange [-2.7:2.7] reverse
unset colorbox
unset border
splot f0(x,y) not

pause -1