What is the meaning and how one takes fourier transformation of vector that has spatial distrubution.
Let say electric field (with transfer x, y distibution) with direction
$$FFT(\vec{E}(x,y ))$$
In matlab fft2(E(x,y)) would be fine for scalar. But how one would take FFT if it is a vector.
My question comes from fft beam propagation equation shown bellow. It is for homework and I do not have time, just $\vec{E}(x,y )$ . I do not understand how FFT is taken of a vector.
(e, p are 1x3 vectors and kz is z directed wave number 1x3 vector. The sum is over two polararizations.)
