Exactness of the first Born approximation in electromagnetic scattering Article Swipe
Related Concepts
Born approximation
Scattering
Anisotropy
Physics
Electromagnetic radiation
Polarization (electrochemistry)
Plane wave
Permittivity
Wavenumber
Optics
Computational physics
Mathematical analysis
Mathematics
Quantum mechanics
Dielectric
Physical chemistry
Chemistry
Farhang Loran
,
Alí Mostafazadeh
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2307.10819
· OA: W4385004551
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2307.10819
· OA: W4385004551
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 $α$. We also show that under this condition the medium is omnidirectionally invisible for $k\leq α/2$, i.e., it displays broadband invisibility regardless of the polarization of the incident wave.
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