Friedlander–Keller ray expansions and scalar wave reflection at canonically perturbed boundaries

DOI10.1017/S0956792517000353zbMath1407.78015OpenAlexW2782112418MaRDI QIDQ4625089

R. H. Tew

Publication date: 20 February 2019

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792517000353

zbMATH Keywords

ray theoryWKBJ-method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (2)

Asymptotic solutions of the Helmholtz equation: Generalised Friedlander–Keller ray expansions of fractional order ⋮ Thin-layer solutions of the Helmholtz equation

Cites Work

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• Thin-Layer Solutions of the Helmholtz and Related Equations
• Asymptotic solution of some diffraction problems
• Diffraction by an Aperture
• Boundary layer problems in diffraction theory
• Diffraction by slender bodies
• On the Theory of Complex Rays
• Uniform asymptotic expansions at a caustic
• Asymptotic expansions of solutions of (▽²+k²)u=0
• Scalar wave diffraction by tangent rays.

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