Application of Finite Difference Time Domain to Calculate the Transmission Coefficient of an Electromagnetic Wave Impinging Perpendicularly on a Dielectric Interface with Modified MUR-I ABC

Biswajeet Mukherjee; Dinesh K. Vishwakarma

doi:10.14429/dsj.62.792

Biswajeet Mukherjee PDPM-Indian Institute of Information Technology Design & Manufacturing, Jabalpur
Dinesh K. Vishwakarma PDPM-Indian Institute of Information Technology Design & Manufacturing, Jabalpur

DOI: https://doi.org/10.14429/dsj.62.792

Keywords: Finite difference time domain, one dimensional wave, transmission coefficient, absorbing boundary condition

Abstract

MATLAB codes were implemented in this study for a one dimension wave formulation using the computational technique of finite difference time domain (FDTD) method. The codes have then been verified under two cases, one a simple one dimensional wave impinging perpendicularly on a dielectric layer from air interface and second is a one dimensional wave impinging momentarily on a small dielectric slab. The transmission coefficients under both the cases have also been verified. For the former case, there is a constant transmission coefficient irrespective of the frequency of the electromagnetic wave impinging on it and for the latter; there is a sinusoidal type variation due to multiple reflections along the wall of the dielectric slab. In the course of this implementation of the codes a novel technique to implement the absorbing boundary condition (ABC) on the dielectric interface has also been devised based on the Mur-I ABC which has been verified for a dielectric of dielectric constant 4єo. The implementation of the codes presents a recapitulation of the evolution of FDTD from Yee’s Algorithm to the latest modifications in the ABC.

Defence Science Journal, 2012, 62(4), pp.228-235, DOI:http://dx.doi.org/10.14429/dsj.62.792

Author Biographies

Biswajeet Mukherjee, PDPM-Indian Institute of Information Technology Design & Manufacturing, Jabalpur

Mr Biswajeet Mukherjee received his MTech (Microwave Electronics) from University of Delhi, Delhi in 2009 and is currently pursing his PhD from IIT Bombay, Mumbai. Presently, he is working as a Research Engineer with PDPM Indian Institute of Information Technology Design & Manufacturing, Jabalpur. He has published more than 5 research papers in journals and conference proceedings. His current area of research includes: Computational electromagnetics using FDTD method.

Dinesh K. Vishwakarma, PDPM-Indian Institute of Information Technology Design & Manufacturing, Jabalpur

Dr Dinesh Kumar Vishwakarma received his ME (Electronics and Comm. Engg) from Anna University, Chennai in 2000 and PhD (Electronics and Comm. Engg.) from Indian Institute of Science, Bangalore in 2005. Presently working as a Assistant Professor at PDPM Indian Institute of Information Technology, Design & Manufacturing, Jabalpur, India. His research area includes: Applied photonics, surface plasmon and metamaterials, antenna theory, analysis & design, and electromagnetics.