3D Electromagnetic Wave Propagation Simulation using Finite-Difference Time-Domain (FDTD) Method

This research employs the Finite-Difference Time-Domain (FDTD) method to simulate three-dimensional electromagnetic wave propagation, utilizing Perfectly Matched Layer (PML) as the absorption boundary condition. The implementation involves discretizing Maxwell's equations using central-difference approximations in both time and spatial domains, with Yee's algorithm organizing electric and magnetic field components on a staggered grid. The PML boundary condition implementation requires creating anisotropic absorbing materials that minimize reflections by matching the impedance at the computational domain boundaries. This approach enables comprehensive analysis of electromagnetic wave propagation patterns and characteristics, including field distributions, energy flow, and interaction with materials. Through parameter optimization and boundary condition refinement, we can enhance electromagnetic wave propagation efficiency, leading to improved performance in applications such as antenna design, waveguides, and electromagnetic compatibility studies. The simulation typically involves iterative time-stepping procedures where electric fields are updated based on magnetic field curls, followed by magnetic field updates using electric field curls, with PML layers applying additional loss terms to attenuate outgoing waves.