MATLAB Implementation Using Transfer Matrix Method for Optical Analysis

This article presents a MATLAB program developed using the transfer matrix method, designed to compute the relationship between transmittance and defect refractive index. The core algorithm implements sequential matrix multiplication to model light propagation through multilayer structures, where each layer's optical properties are represented by 2x2 matrices. The program enables researchers to analyze material optical characteristics systematically, supporting the design of optical devices through parameterized simulations. Key functionalities include configurable refractive indices, layer thickness inputs, and wavelength-dependent calculations using MATLAB's matrix manipulation capabilities. Users can efficiently simulate optical properties such as transmittance and reflectance across various materials, with additional features for comparative analysis of different materials and defect impact assessment. The implementation utilizes MATLAB's built-in functions for complex number handling and matrix inversion to solve boundary condition equations. This tool provides a robust platform for advancing optical device research, representing a significant contribution to materials science through its scalable, code-driven approach to optical modeling.