3D FDTD Source Code Implementation Based on Ge Debiao's Reference Book

This article presents a three-dimensional Finite-Difference Time-Domain (3D FDTD) MATLAB implementation developed with reference to Ge Debiao's authoritative work. The code features a clear structure and exhaustive comments, making it particularly suitable for beginners to grasp the core concepts of FDTD algorithms.

The content focuses on several key aspects: first introducing the fundamental principles of 3D FDTD, including the spatially staggered distribution of electric and magnetic field components and their time-stepping relationships. The implementation highlights the 2D Mur absorbing boundary condition, a crucial technique for modeling open-space electromagnetic problems. The code follows academic conventions in variable naming and annotation standards, enabling readers to cross-reference with theoretical formulas effectively.

For readers interested in computational electromagnetics, this implementation serves as an excellent introductory case study. It comprehensively demonstrates core FDTD iteration processes while incorporating practical details like material parameter configuration and excitation source implementation. By studying this code, learners can quickly understand how to transform FDTD theory into operational simulation programs, with specific attention to field component updates using central difference approximations and stability criteria implementation through Courant condition checking.