A 3-D Tensorial Integral Formulation of Scattering Containing Intriguing Relations
Alexey J. Yuffa, Johannes Markkanen
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.
and Markkanen, J.
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 February 29, 2024)