Wave propagation and Thom's theorem

DOI10.1088/0305-4470/14/7/009zbMath0469.58018OpenAlexW2028605948MaRDI QIDQ3923304

Arthur D. Gorman, Gordon N. Fleming, Robert Wells

Publication date: 1981

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/14/7/009

zbMATH Keywords

Lagrange manifoldasymptotic solution of the Helmholtz equation near caustics for scalar waves propagated from a finite source in an inhomogeneous mediumMaslov integral representation

Mathematics Subject Classification ID

Wave equation (35L05) Applications of PDEs on manifolds (58J90) Hyperbolic equations on manifolds (58J45)

Related Items (4)

On the singularity index and the unfolding of the diffraction catastrophes ⋮ The geometry of the hyperbolic system for an anisotropic perfectly elastic medium ⋮ The asymptotic expansion of certain canonical integrals ⋮ Vector fields near caustics

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