Implementation of Binary Fourier Holography in MATLAB

Binary Fourier holography is a computational method for recording optical images, with its MATLAB implementation achievable through five sequential steps: First, the original image undergoes sampling and compression, where functions like imresize() and quantization algorithms can be applied to reduce data dimensionality. Second, the processed image is transformed into the frequency domain using 2D Fourier transform (fft2()), revealing its spectral components. Third, holographic techniques encode the frequency-domain image into an interference pattern, typically using phase modulation or complex amplitude manipulation. Fourth, this interference pattern generates a chirped fiber grating structure as the recording medium, simulating its refractive index modulation through periodic phase variations. Finally, an inverse Fourier transform (ifft2()) reconstructs the original image from the interference pattern. This process requires meticulous computational implementation, including phase retrieval algorithms and optimization of grating parameters, but yields high-quality optical reconstructions with broad applications in photonics and signal processing.