Yuffa, A.
and Markkanen, J.
(2018),
A 3-D Tensorial Integral Formulation of Scattering Containing Intriguing Relations, IEEE Transactions on Antennas and Propagation, [online], https://doi.org/10.1109/TAP.2018.2855671
(Accessed April 20, 2024)
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A 3-D Tensorial Integral Formulation of Scattering Containing Intriguing Relations
Published
Author(s)
, Johannes Markkanen
Abstract
We investigate the role of the electric field and its normal derivative in three-dimensional electromagnetic scattering theory. We present an alternative integral equation formulation that uses the electric field and its normal derivative as the boundary unknowns. In particular, we extend a traditional formulation that is used in two-dimensional scattering theory to three- dimensions. We uncover several intriguing relationships involving closed surface integrals of the field and/or its derivative. In order not to obscure the physical/geometric awareness, the derivation is made from a tensor-calculus perspective.Citation
IEEE Transactions on Antennas and Propagation
Pub Type
Journals
Download Paper
Keywords
integral equations, boundary value problems, boundary conditions, waves, electrodynamics
Citation
Created October 4, 2018, Updated January 27, 2020