set terminal epslatex color colortext
set datafile separator ","
set output "fits/transmission_vs_x.eps"
set xlabel '$x/\unit{\micro m}$'
set ylabel '$T_{norm}$'
#set xtics 500000
set pointsize 2
#x0 = 0
#K0 = 1.6
#g = 0.13
#f(x) = ((1-K0*exp(-(x-x0)/g))/(1+K0*exp(-(x-x0)/g)))**2

a =    1.586 #  (-8.065e+06, 8.065e+06)
b =   -0.006795 #  (-8.349e+05, 8.349e+05)
c =    0.1642 # (0.1403, 0.188)
F(x)=((1-a*exp(-(x-b)/c))/(1+a*exp(-(x-b)/c)))**2

plot "fits/transmission_vs_x.CSV" using 1:2:2:3 with yerrorbars title '$T_{norm}$', F(x) title "Theory"