Dislocation lines in the hyperbolic umbilic diffraction catastrophe

DOI10.1098/rspa.2006.1683zbMath1149.35389OpenAlexW2169597115MaRDI QIDQ3503380

John Nye

Publication date: 22 May 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2006.1683

zbMATH Keywords

diffractionoptical vorticesdiffraction catastrophessingularity opticswave dislocations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67)

Related Items (6)

On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems ⋮ Asymptotic analysis of diffraction integrals in Gevrey spaces ⋮ Inflection reflection: images in mirrors whose curvature changes sign ⋮ An asymptotic expansion of the hyberbolic umbilic catastrophe integral ⋮ Secular resonances between bodies on close orbits: a case study of the Himalia prograde group of Jovian irregular satellites ⋮ Dislocation lines in the swallowtail diffraction catastrophe

Uses Software

• DLMF

Cites Work

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• The uniform asymptotic swallowtail approximation: practical methods for oscillating integrals with four coalescing saddle points
• Hyperasymptotics for integrals with saddles

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