Numerical Study of Electromagnetic Waves by using Finite Difference Time Domain (FDTD) Technique in Two and Three Dimensions

Date

2021-3

Type

Article

Journal title

University Bulletin

Issue

Vol. 1 No. 23

Author(s)

Sedig S Farhat

Abstract

In this paper, the finite difference time domain (FDTD) method applied for solving the time dependent Maxwell’s curl equations in two dimensions (2D) and three dimensions (3D) systems. In the FDTD, the computational domain is terminated with the absorbing boundary conditions (ABCs) that applied in two dimensional (2D-FDTD) and three dimensional (3D-FDTD). Two dimensions system is used as the transverse magnetic (TM) wave propagates in free space. We are constructed the obstacles in the centre of a domain for examples the cube, cylinder shapes and wire with the purpose of acting as the perfect electric conductors (PECs). The electric and magnetic fields computed in space at every time step and the electromagnetic wave interacted with PECs. The results of simulations demonstrated that there are no signals appeared in the regions of the obstacles. Because the electric fields components are equal to zeros while outside the obstacles the signals appeared and updated at each cell in the domain. This can be obtained in the simulations when performed in 2D and 3D. It can be noted that the similar results can be clearly observed. In order to make a comparison between simulations, the distributions of electromagnetic waves affected when added for example wire compare to the simulation without wire in the domain. Moreover, we obtained very good simulations results by using the absorbing boundary conditions. Because the ABCs absorbed the electromagnetic waves and minimized the reflections that come from the boundaries.