Global geometrical optics approximation to the high frequency Helmholtz equation with discontinuous media

DOI10.4310/CMS.2015.V13.N8.A1zbMath1332.78032MaRDI QIDQ889109

Chunxiong Zheng

Publication date: 6 November 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

causticsdiscontinuous mediaWKB analysishigh frequency wavesglobal geometrical optics approximation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic analysis in optics and electromagnetic theory (78M35)

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