Ocean waves simulation with Fast Fourier transform

How does ocean waves simulation with Fast Fourier transform work? Source code: Music: Catlike Coding on Gerstner waves: 3Blue1Brown on Euler’s formula: 3Blue1Brown on Fourier transform: References: 0:00 Intro 1:02 Waves Math 2:52 Fast Fourier Transform 5:36 Oceanographic Spectra 9:24 Algorithm Walkthrough 11:04 Cascades 12:25 Height Sampling 13:53 Outro #FFTOcean #UnityOceanShader #TessendorfWaves