Gaussian Beam Shaping Design Using MATLAB-based GS Algorithm

This article discusses Gaussian beam shaping design using the GS (Gerchberg-Saxton) algorithm implemented in MATLAB. This technology has extensive applications in optical communications, fiber optic transmission, medical imaging, and related fields. Notably, Gaussian beam shaping requires multiple reflections and refractions during beam propagation, necessitating precise optical system modeling and simulation. Through MATLAB implementation of the GS algorithm, we can optimize and improve Gaussian beam shaping designs, thereby enhancing beam transmission quality and efficiency. The code implementation typically involves defining initial phase distributions, implementing iterative Fourier transforms between near-field and far-field domains, and applying constraints to achieve desired beam profiles. Key MATLAB functions used may include fft2/ifft2 for Fourier transforms, angle for phase extraction, and abs for amplitude constraints. The algorithm iteratively adjusts phase patterns to transform Gaussian beam distributions into target profiles while maintaining energy conservation principles throughout the optimization process.