Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

On the numerical evaluation of cuspoid diffraction catastrophes

Not Accessible

Your library or personal account may give you access

Abstract

A simple computational approach is proposed for the evaluation of cuspoid diffraction catastrophes, which are fundamental tools for the description of wave fields in proximity to stable caustics. In particular, on representing the Pearcey and the swallowtail functions in terms of convergent series expansions, the action of the Weniger transformation on them is numerically studied for both real and complex values of the cuspoid arguments. Numerical experiments, aimed at giving evidence of the effectiveness and implementative ease of the proposed method, together with some quantitative comparisons to previously published results, are also presented.

© 2008 Optical Society of America

Full Article  |  PDF Article
More Like This
Evaluation of cuspoid and umbilic diffraction catastrophes of codimension four

Riccardo Borghi
J. Opt. Soc. Am. A 28(5) 887-896 (2011)

Evaluation of diffraction catastrophes by using Weniger transformation

Riccardo Borghi
Opt. Lett. 32(3) 226-228 (2007)

Optimizing diffraction catastrophe evaluation

Riccardo Borghi
Opt. Lett. 36(22) 4413-4415 (2011)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (5)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (30)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved