MATLAB Source Code Implementation of FDTD (Finite-Difference Time-Domain) Algorithm

This repository provides MATLAB source code implementations of the FDTD (Finite-Difference Time-Domain) algorithm, designed to assist researchers and students in better understanding and learning this numerical computation method. The FDTD algorithm serves as a powerful numerical solving technique primarily used for analyzing electromagnetic wave propagation problems. The core implementation discretizes spatial domains into structured grids to approximate solutions to Maxwell's differential equations, enabling numerical simulation of electromagnetic wave behavior through iterative time-stepping. Our source code includes comprehensive Yee algorithm implementation with: - Spatial grid discretization using central-difference approximations - Time-domain field updates via leapfrog time-stepping scheme - Perfectly Matched Layer (PML) boundary condition implementation - Material property assignment and field initialization routines The codebase features detailed inline comments and documentation, along with multiple practical examples demonstrating: 1. Wave propagation in homogeneous and heterogeneous media 2. Scattering analysis from various geometric structures 3. Frequency-domain transformation via Fourier analysis 4. Visualization tools for electromagnetic field plotting Each example includes parameter configuration sections and result validation methods to help users understand both the algorithmic principles and practical implementation techniques for electromagnetic simulation scenarios.