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Progress In Electromagnetics Research
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TRANSIENT SOLUTIONS OF MAXWELL'S EQUATIONS BASED ON SUMUDU TRANSFORM

By M. G. M. Hussain and F. B. M. M. Belgacern

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Abstract:
The Sumudu transform is derived from the classical Fourier integral. Based on the mathematical simplicity of the Sumudu transform and its fundamental properties, Maxwell's equations are solved for transient electromagnetic waves propagating in lossy conducting media. The Sumudu transform of Maxwell's differential equations yields a solution directly in the time domain, which neutralizes the need to perform inverse Sumudu transform. Two sets of computer plots are generated for the solution of Maxwell's equations for transient electric field strength in lossy medium. A set of plots presents the Sumudu transform of the transient solution and another one presents inverse Sumudu transform. Both sets of plots reveal similar characteristics and convey equal information. Such property is referred to as the Sumudu reciprocity.

Citation:
M. G. M. Hussain and F. B. M. M. Belgacern, "Transient solutions of Maxwell's equations based on sumudu transform," Progress In Electromagnetics Research, Vol. 74, 273-289, 2007.
doi:10.2528/PIER07050904
http://www.jpier.org/PIER/pier.php?paper=07050904

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