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arXiv · 2307.10819

Exactness of the first Born approximation in electromagnetic scattering

Farhang Loran·Ali Mostafazadeh
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Abstract

For the scattering of plane electromagnetic waves by a general possibly anisotropic stationary linear medium in three dimensions, we give a condition on the permittivity and permeability tensors of the medium under which the first Born approximation yields the exact expression for the scattered wave whenever the incident wavenumber $k$ does not exceed a pre-assigned value $\alpha$. We also show that under this condition the medium is omnidirectionally invisible for $k\leq \alpha/2$, i.e., it displays broadband invisibility regardless of the polarization of the incident wave.

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Farhang Loran, Ali Mostafazadeh. 2023-07-20. Exactness of the first Born approximation in electromagnetic scattering. https://doi.org/10.1093/ptep%2Fptae008

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