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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 11 > No. 1


Sumudu Computation of the Transient Magnetic Field in a Lossy Medium

PP: 209-217
Fethi Bin Muhammad Belgacem, Eman H. Al-Shemas, Rathinavel Silambarasan,
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.

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