NUMERICAL SOLUTIONS OF MAXWELL’S EQUATIONS IN ONE AND TWO DIMENSIONS SYSTEMS BY APPLYING FINITE DIFFERENCE TIME DOMAIN (FDTD) TECHNIQUE TO STUDY ELECTROMAGNETIC WAVE PROPAGATION

Abstract

The FDTD technique can be used for the transverse electric (TE) mode of a one-dimensional and transverse magmatic (TM) mode of two-dimensional in order to acquire the solutions of Maxwell’s time dependent curl equations. The waves can be computed and controlled in the domain to propagate in the exact direction by simulating the presence of perfect electric conductors (PECs).

This work presents two numerical solutions in one dimension case. The first solution was acquired when high conductivity, such as the conductivity of copper material, is placed in the computational domain and compared to that of the other one when placing a PEC in the same region. The second was by applying the two different absorbing boundaries conditions.

The result obtained by the truncation condition can be compared with the first-order ABC to truncate a grid. The obtained results of the simulations were in good agreement with each other. In 2-D FDTD, the wave propagated in free space and a problem space was terminated by the first-order absorbing boundary condition (ABC) to simulate an open domain. The achieved numerical results of 2-D FDTD showed that the intensities of distributions were identical, which means that the images of the TM field’s distributions appeared similar to the waves controlled between the strips.