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J Electromagn Eng Sci > Volume 14(3); 2014 > Article
Journal of Electromagnetic Engineering and Science 2014;14(3):273-277.
DOI: https://doi.org/10.5515/JKIEES.2014.14.3.273   
Integral Transforms in Electromagnetic Formulation
Hyo Joon Eom
Department of Electrical Engineering, KAIST
Abstract
In this research, integral transform technique for electromagnetic scattering formulation is reviewed. Electromagnetic boundary-value problems are presented to demonstrate how the integral transforms are utilized in electromagnetic propagation, antennas, and electromagnetic interference/compatibility. Various canonical structures of slotted conductors are used for illustration; moreover, Fourier transform, Hankel transform, Mellin transform, Kontorovich-Lebedev transform, and Weber transform are presented. Starting from each integral transform definition, the general procedures for solving Helmholtz's equation or Laplace's equation for the potentials in the unbounded region are reviewed. The boundary conditions of field continuity are incorporated into particular formulations. Salient features of each integral transform technique are discussed.
Key words: Boundary-Value Problems, Electromagnetic Scattering, Integral Transforms
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