4.6 Article

Born-Pade approach to electromagnetic scattering in complex one-dimensional inhomogeneous slabs

期刊

PHYSICAL REVIEW A
卷 106, 期 4, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.106.043503

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  1. CNPq (Conselho Nacional de Desenvolvimento Cientificoe Tecnologico)
  2. FAPEAL (Fundacao de Amparo a Pesquisa do Estado de Alagoas)

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This paper applies perturbation theory to investigate one-dimensional scattering systems composed of inhomogeneous and isotropic slabs. The transmitted and reflected amplitudes are expressed as Born series and approximate solutions are obtained using Pade approximants with high and arbitrary accuracy. The approach is versatile and can handle oblique incidence.
Perturbation theory is applied to one-dimensional scattering systems consisting of a general class of inho-mogeneous and isotropic slabs having size L described by the relative permittivity epsilon(z) = 1 + alpha chi (z), where chi (z) is the electric susceptibility and alpha the perturbation parameter. The transmitted and reflected amplitudes are shown to be written as Born series in powers of alpha and Pade approximants are used to obtain analytical results with a high and arbitrary degree of accuracy. The approach is very general and can handle oblique incidence. Examples are given for the transmission and reflection amplitudes of plane waves interacting with Hermitian and non-Hermitian structures with known and unknown exact solutions.

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