Hi,
I am trying to simulate a refractive index change in a medium, to do that I need to accurately model the evolution of said index with a sinusoidal function with variating period (see picture below for an exemple).

The function is written as n(z)=n0+n1*cos(phi(z)) (n being the index), with phi(z)=alpha/(z+beta), I would expect that fixing beta and calculating alpha for alpha=nT*2*pi*(zmax+beta) (with nT the number of period in the interval from z=0 to z=zmax) would give me a function with nT period but it does not, where did I go wrong?
ThanksHi,
I am trying to simulate a refractive index change in a medium, to do that I need to accurately model the evolution of said index with a sinusoidal function with variating period (see picture below for an exemple).

The function is written as n(z)=n0+n1*cos(phi(z)) (n being the index), with phi(z)=alpha/(z+beta), I would expect that fixing beta and calculating alpha for alpha=nT*2*pi*(zmax+beta) (with nT the number of period in the interval from z=0 to z=zmax) would give me a function with nT period but it does not, where did I go wrong?
Thanks Hi,
I am trying to simulate a refractive index change in a medium, to do that I need to accurately model the evolution of said index with a sinusoidal function with variating period (see picture below for an exemple).

The function is written as n(z)=n0+n1*cos(phi(z)) (n being the index), with phi(z)=alpha/(z+beta), I would expect that fixing beta and calculating alpha for alpha=nT*2*pi*(zmax+beta) (with nT the number of period in the interval from z=0 to z=zmax) would give me a function with nT period but it does not, where did I go wrong?
Thanks matlab, mathematics MATLAB Answers — New Questions

​