Stokes surfaces of diffraction catastrophes with codimension three

DOI10.1088/0951-7715/3/2/003zbMath0706.65133OpenAlexW1973190138MaRDI QIDQ3486824

C. J. Howls, M. V. Berry

Publication date: 1990

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/35dccfa4a7cc5755bcfbd7acf5450ccbcca519b9

zbMATH Keywords

swallowtailStokes lineasymptotics of special functionsshort-wave limitwavefieldscups singularitydiffraction catastropheselliptic and hyperbolic umbilicsStokes sets

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Applications of dynamical systems (37N99) Applications to the sciences (65Z05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Geometric optics (78A05)

Related Items (3)

Geometry of the Stokes sets for families of functions of one variable ⋮ Uniform asymptotic expansions of integrals: A selection of problems ⋮ An asymptotic expansion of the hyberbolic umbilic catastrophe integral

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