FDTD Implementation of 2D TE Waves with Mur Absorbing Boundary Condition

In the FDTD implementation of 2D TE waves, we employ the Mur absorbing boundary condition as an effective numerical approach to accurately simulate electromagnetic wave propagation and reflection in various media. The core algorithm involves iteratively updating electric and magnetic field components using Maxwell's curl equations discretized in both space and time domains. Key implementation aspects include: field component arrangement (Ez, Hx, Hy for TE mode), stability-controlled time stepping using Courant condition, and boundary value updates through Mur's first/second-order equations. Through numerical simulation, we can better understand the physical characteristics of electromagnetic waves, providing crucial references for research in electromagnetic induction, antenna design, and related fields. In practical applications, the FDTD method has been widely adopted in radar signal processing, communication systems, and microwave engineering, establishing itself as an essential tool for electromagnetic field computation and simulation.