Implementation of Periodic Boundary Conditions in FDTD Algorithm

Abdul Aleem Jamali; M. Rizwan Amirzada; M. R. Anjum; Kelash Kanwar

Abdul Aleem Jamali Department of Electronic Engineering, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah
M. Rizwan Amirzada Faculty of Engineering and Computer Science, National University of Modern Languages, Islamabad
M. R. Anjum Department of Electronic Engineering, The Islamia University Bahawalpur, Pakistan
Kelash Kanwar Department of Electronic Engineering, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah

Keywords: Finite difference time domain (FDTD) method, Periodic structures,, Periodic boundary condition (PBC),, Absorbing boundary condition, Computational electromagnetic

Abstract

This paper presents the implementation of Periodic Boundary Conditions in Finite Difference Time Domain (FDTD) algorithm for the computation of periodic structures. Many electromagnetic problems such as in photonic crystals, scattering and radiation, the periodic scatterers are used. The periodicity of the scatterers is employed to simplify electromagnetic analysis by considering it for an infinite-array. Among other numerical techniques, FDTD provides efficient performance when the number of unknown (or problem size) increases together with covering wide band of frequencies in single simulation. An extensive number of simulated experiments are performed to demonstrate the efficient implementation of PBCs by using FDTD algorithm.