An Excellent MATLAB Program for Solving Square Lattice Problems in 2D Cartesian Coordinates Using Finite-Difference Time-Domain Method

This is a highly practical MATLAB program that implements the Finite-Difference Time-Domain (FDTD) method to solve electromagnetic wave propagation problems in two-dimensional Cartesian coordinate systems with square lattice configurations. The program features several advantages: it efficiently handles Maxwell's equations using Yee's grid discretization scheme, provides highly accurate numerical results through proper boundary condition implementation (such as Perfectly Matched Layers), and includes modular code structure for easy customization of parameters like grid spacing, time steps, and source excitation. Key functions include field update equations based on central difference approximations, visualizations of field distributions over time, and performance optimization through vectorized operations. The program can be readily modified for different applications by adjusting material properties, source configurations, or boundary conditions, making it an ideal choice for researchers and engineers working with computational electromagnetics.