A 3-D Tensorial Integral Formulation of Scattering Containing Intriguing 
Relations

Yuffa, Alex J.; Markkanen, Johannes

doi:10.1109/TAP.2018.2855671

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A 3-D Tensorial Integral Formulation of Scattering Containing Intriguing Relations

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Markkanen, Johannes
Department Planets and Comets, Max Planck Institute for Solar System Research, Max Planck Society;

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Citation

Yuffa, A. J., & Markkanen, J. (2018). A 3-D Tensorial Integral Formulation of Scattering Containing Intriguing Relations. IEEE Transactions on Antennas and Propagation, 66(10), 5274-5281. doi:10.1109/TAP.2018.2855671.

Cite as: https://hdl.handle.net/21.11116/0000-0003-B713-9

Abstract

We investigate the role of the electric field and its normal derivative in 3-D 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 2-D 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.