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 October 17, 2025)
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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
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Keywords
integral equations, boundary value problems, boundary conditions, waves, electrodynamics
Citation
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Created October 4, 2018, Updated January 27, 2020