FDTD GPR Master - Finite-Difference Time-Domain Method for Ground Penetrating Radar

This text discusses the "FDTD" algorithm, which is designed for simulating electromagnetic wave propagation and implemented using MATLAB. The algorithm operates by discretizing Maxwell's equations in both time and space domains using central-difference approximations, typically implementing update equations for electric and magnetic field components through Yee's grid arrangement. Key MATLAB functions involved may include meshgrid for spatial discretization, time-stepping loops with explicit finite-difference operations, and absorbing boundary conditions like PML (Perfectly Matched Layer) implementation. We can further explore its fundamental principles involving numerical stability conditions (Courant-Friedrichs-Lewy criterion) and its applications in electromagnetics, optics, and particularly Ground Penetrating Radar (GPR) simulations. Additionally, we can examine comparative analysis with other electromagnetic simulation methods (such as FEM or Method of Moments) and performance optimization techniques including code vectorization, parallel processing implementation using MATLAB's parfor, or GPU acceleration. Through in-depth study of this algorithm's implementation architecture, we can better understand and apply it to various wave propagation scenarios.