Computing Band Structure of 1D Photonic Crystals Using Transfer Matrix Method

This program calculates the band structure of one-dimensional photonic crystals using the transfer matrix method. The implementation is written in MATLAB and handles electromagnetic wave propagation through periodic dielectric structures. After extracting the files, you'll find the complete code documented in a Word file, along with MATLAB-generated plots showing band gap characteristics. The algorithm constructs transfer matrices for each layer interface, computes the total system matrix through multiplication of individual layer matrices, and solves for eigenvalues to determine propagation modes. Key functions include matrix initialization for different dielectric materials, boundary condition handling, and frequency-domain analysis. The plotted results visualize photonic band gaps and dispersion relationships, making this implementation particularly valuable for understanding light propagation in periodic structures and applications in photonic device design. This practical tool provides clear insights into photonic crystal band structures, enabling better application in related fields such as optical filters, waveguides, and photonic circuits.