Fractional Fourier Transform and Detour Phase Encoding for Computer-Generated Holograms

In this article, we explore the concept of fractional Fourier transform and demonstrate how to implement computer-generated holograms using detour phase encoding. The implementation typically involves discrete algorithms that sample the optical wavefront and calculate phase distributions through iterative computations. Additionally, we introduce diffraction simulation methods that employ angular spectrum propagation or Fresnel diffraction algorithms to model light propagation. We also discuss relevant computer-generated graphics techniques, where programming approaches like point-source method or interference-based encoding generate holographic patterns. These contents are particularly valuable for researchers in information optics. By deeply understanding these concepts and techniques, including key MATLAB/Python functions for Fourier optics simulation, we can better comprehend and apply research achievements in the field of information optics. The computational aspects involve optimizing algorithms for phase retrieval and implementing efficient diffraction calculations using FFT-based methods.