The University of Southampton
University of Southampton Institutional Repository

Axial and focal-plane diffraction catastrophe integrals

Axial and focal-plane diffraction catastrophe integrals
Axial and focal-plane diffraction catastrophe integrals
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 X_9 diffraction catastrophes. These representations reveal unexpected relations between the integrals.
1751-8113
375206-[13pp]
Berry, M.V.
ab44fe7c-0c8c-4c7a-981f-50fe4a5bc6ad
Howls, C.J.
66d3f0f0-376c-4f7a-a206-093935e6c560
Berry, M.V.
ab44fe7c-0c8c-4c7a-981f-50fe4a5bc6ad
Howls, C.J.
66d3f0f0-376c-4f7a-a206-093935e6c560

Berry, M.V. and Howls, C.J. (2010) Axial and focal-plane diffraction catastrophe integrals. Journal of Physics A: Mathematical and Theoretical, 43 (37), 375206-[13pp]. (doi:10.1088/1751-8113/43/37/375206).

Record type: Article

Abstract

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 X_9 diffraction catastrophes. These representations reveal unexpected relations between the integrals.

Full text not available from this repository.

More information

Submitted date: 22 April 2010
Published date: 7 July 2010
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 142733
URI: https://eprints.soton.ac.uk/id/eprint/142733
ISSN: 1751-8113
PURE UUID: a60bbf7f-d63f-4671-9906-ee7b64c49c31
ORCID for C.J. Howls: ORCID iD orcid.org/0000-0001-7989-7807

Catalogue record

Date deposited: 22 Apr 2010 13:29
Last modified: 06 Jun 2018 12:52

Export record

Altmetrics

Contributors

Author: M.V. Berry
Author: C.J. Howls ORCID iD

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×