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Exactness of the first born approximation in electromagnetic scattering

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Loran, Farhang

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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 preassigned value alpha. We also show that under this condition the medium is omnidirectionally invisible for k <= alpha/2, i.e. it displays broadband invisibility regardless of the polarization of the incident wave.

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Oxford Univ Press Inc

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Waveguide, Eigenvalue, Photonics

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Progress of Theoretical and Experimental Physics

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10.1093/ptep/ptae008

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