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The two-dimensional finite-difference time-domain (FDTD) program is a widely used numerical technique for electromagnetic analysis. It is particularly useful for simulating wave propagation in complex geometries. In this case, the program utilizes the Perfectly Matched Layer (PML) absorption boundary condition, which provides an efficient method for minimizing reflections from the boundary of the computational domain. The simulation is conducted for transverse magnetic (TM) wave incidence, which is a type of electromagnetic wave where the magnetic field is perpendicular to the direction of propagation. This type of wave is often used in various applications such as microwave engineering, optical fibers, and integrated optics. By using the FDTD program with the PML boundary condition and TM wave incidence, we can accurately analyze the electromagnetic behavior of different structures and devices.