Exactness of the first Born approximation in electromagnetic scattering

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 $k\le \alpha /2$, i.e., it displays broadband invisibility regardless of the polarization of the incident wave.

17 pages, 2 figures, accepted for publication in Prog. Theor. Exp. Phys

References in corpus (3)

• Transport in Bilayer Graphene: Calculations within a self-consistent Born approximation
• Fundamental transfer matrix and dynamical formulation of stationary scattering in two and three dimensions
• Born-series approach to the calculation of Casimir forces

Cited by in corpus (4)

• Can N-th Order Born Approximation Be Exact?
• Dynamical formulation of low-frequency scattering in two and three dimensions
• Reciprocity Theorem and Fundamental Transfer Matrix
• Scattering of TE and TM waves by inhomogeneities of a 2D material, low-frequency behavior of the scattering amplitude, and low-frequency invisibility