Sumudu Computation of the Transient Magnetic Field in a Lossy Medium

Authors

Fethi Bin Muhammad Belgacem, Department of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya, Kuwait.Follow
Eman H. Al-Shemas, Department of Mathematics, Faculty of Basic Education, PAAET, Al-Ardhiya, Kuwait.Follow
Rathinavel Silambarasan, M. Tech IT-Networking, Department of Information Technology, SITE, VIT University, Vellore, Tamilnadu, India.Follow

Author Country (or Countries)

Kuwait.

Abstract

This research article aims at treating the transverse electromagnetic wave propagation in lossy media, labeled TEMP. Following the trail of works by Hussain and Belgacem, and Belgacem et al. towards getting the transient electric field solution of Maxwell’s equations, here we seek Sumudu transform based solution for transient magnetic field. Moreover, we feature connected interesting shifting properties of the Sumudu transform, some found useful in solving this very particular problem. Furthermore, we establish new analytico-numerical results, and exhibit graphical profiles of Sumudued ramp, gaussian pulse, and finite sinusoidal functions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110126

Recommended Citation

Bin Muhammad Belgacem, Fethi; H. Al-Shemas, Eman; and Silambarasan, Rathinavel (2017) "Sumudu Computation of the Transient Magnetic Field in a Lossy Medium," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 26.
DOI: http://dx.doi.org/10.18576/amis/110126
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/26