Global, uniform, asymptotic wave-equation solutions for large wavenumbers

DOI10.1016/0003-4916(87)90131-XzbMath0638.76092MaRDI QIDQ1099735

John R. Klauder

Publication date: 1987

Published in: Annals of Physics (Search for Journal in Brave)

zbMATH Keywords

wave equationsasymptotic approximationscoherent-state transformationglobal uniform solutionsMaslov's methodtheory of diffraction

Mathematics Subject Classification ID

Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20) Hydro- and aero-acoustics (76Q05)

Related Items

A parabolic approximation method with application to global wave propagation, A phase-space technique for the perturbation expansion of Schrödinger propagators, Exact and operator rational approximate solutions of the Helmholtz, Weyl composition equation in underwater acoustics−The quadratic profile, AXIAL WAVE IN LONG-RANGE PROPAGATION IN A RANGE-INDEPENDENT OCEAN, EFFECT OF HORIZONTAL INHOMOGENEITY OF THE OCEAN ON INTERFERENCE OF NEAR-AXIAL WAVES IN LONG-RANGE ACOUSTIC PROPAGATION, A numerical evaluation of the semiclassical coherent state path integral, Uniform high-frequency approximations of the square root Helmholtz operator symbol

Cites Work

• Random media
• Wave propagation and underwater acoustics
• Continuous-Representation Theory. III. On Functional Quantization of Classical Systems
• Continuous-Representation Theory. IV. Structure of a Class of Function Spaces Arising from Quantum Mechanics
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