I'm working on solving differential equations through Fourier series, I made a function to help me calculate the coefficients that looks like this: ...
I've got this function: E0[x0_, y0_, z_]:= A/w[z]*Exp[-(x0^2 + y0^2)/(w[z]*w[z])]*Exp[(I*2*Pi*(x0^2 + y0^2))/(λ*2*R[z])]*Exp[I*ϕ[z]]; Where the ...
I have two functions that I need to inverse Fourier transform and I was trying to get Mathematica to help me. I tried simply using theInverseFourierTransform ...
I wrote this function NFourierTransform, which takes a function $f(k)$ and numerically calculates the fourier transform integral for discrete values of $k \in ...
Say I have a function $f(x)$ that is given explicitly in its functional form, and I want to find its Fourier transform. If $f$ is too complicated to have an analytic expression for $\hat f(k)$, how ...