Scattering of Plane Electromagnetic Waves by Radially Inhomogeneous Spheres: Asymptotics and Special Functions

DOI10.1007/978-3-319-31323-8_17zbMath1365.78007OpenAlexW2512396089MaRDI QIDQ5270282

Michael A. Pohrivchak, Umaporn Nuntaplook, John A. Adam

Publication date: 23 June 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31323-8_17

zbMATH Keywords

rainbowasymptotic expansionsLiouville transformationBessel's equationWatson transformhypergeometric equationback-scatteringBorn approximationWhittaker's equationEM scatteringRiccati-Bessel functionsscattering potentialsMaxwell fish-eyeradial Debye potentialsrefractive index profilesTE/TM modes

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35)

Cites Work

• Scattering from a penetrable sphere at short wavelengths
• Direct and inverse scattering by a sphere of variable index of refraction
• High-frequency scattering from a metal-like dielectric lens
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