Axial and focal-plane diffraction catastrophe integrals

MV Berry, CJ Howls

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)


Exact expressions in terms of Bessel functions are found for some of the diffraction catastrophe integrals that decorate caustics in optics and mechanics. These are the axial and focal-plane sections of the elliptic and hyperbolic umbilic diffraction catastrophes, and symmetric elliptic and hyperbolic unfoldings of the X9 diffraction catastrophes. These representations reveal unexpected relations between the integrals.
Translated title of the contributionAxial and focal-plane diffraction catastrophe integrals
Original languageEnglish
Pages (from-to)1 - 13
Number of pages13
JournalJournal of Physics A: Mathematical and Theoretical
Publication statusPublished - Aug 2010


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