Ocean waves simulation with Fast Fourier transform

How does ocean waves simulation with Fast Fourier transform work? Source code: https://github.com/gasgiant/FFT-Ocean Music: https://soundcloud.com/igor_vaiman Catlike Coding on Gerstner waves: https://catlikecoding.com/unity/tutorials/flow/waves/ 3Blue1Brown on Euler's formula: https://www.youtube.com/watch?v=v0YEaeIClKY 3Blue1Brown on Fourier transform: https://www.youtube.com/watch?v=spUNpyF58BY References: https://github.com/gasgiant/FFT-Ocean/blob/main/references.md 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 #unity #shaders #water