Diffraction of pulses in the vicinity of simple caustics and caustic cusps

DOI10.1016/0165-2125(91)90052-PzbMath0751.35048MaRDI QIDQ1194127

Małgorzata Seredyńska, Andrzej Hanyga

Publication date: 27 September 1992

Published in: Wave Motion (Search for Journal in Brave)

zbMATH Keywords

catastrophe theorygeometrical theory of diffractionGeometrical theory of diffractionLudwig's formulae for harmonic fieldsstable cuspoid caustics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Wave scattering in solid mechanics (74J20) Seismology (including tsunami modeling), earthquakes (86A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

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UNIFORMLY ASYMPTOTIC SOLUTIONS FOR PSEUDODIFFERENTIAL EQUATIONS WITH SINGULAR INTEGRAL OPERATORS ⋮ Diffraction of pulses in the vicinity of simple caustics and caustic cusps

Cites Work

• Diffraction of pulses in the vicinity of simple caustics and caustic cusps
• Application of Ludwig’s uniform progressing wave ansatz to a smooth caustic
• Differential equations for the cuspoid canonical integrals
• Algorithm 577: Algorithms for Incomplete Elliptic Integrals [S21]
• A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: application to Pearcey's integral and its derivatives
• Uniform asymptotic expansions at a caustic
• The reflexion of a pulse in a solid sphere
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