Fresnel diffraction and fractal patterns from polygonal apertures

Huang, JG, Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569 and McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 2006, 'Fresnel diffraction and fractal patterns from polygonal apertures' , Journal of the Optical Society of America A: Optics, Image Science & Vision (JOSA A), 23 (11) , pp. 2768-2774.

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Abstract

Two compact analytical descriptions of Fresnel diffraction patterns from polygonal apertures under uniform illumination are detailed. In particular, a simple expression for the diffracted field from constituent edges is derived. These results have fundamental importance as well as specific applications, and they promise new physical insights into diffraction-related phenomena. The usefulness of the formulations is illuminated in the context of a virtual source theory that accounts for two transverse dimensions. This application permits calculation of fractal unstable-resonator modes of arbitrary order and unprecedented accuracy.

Item Type: Article
Themes: Subjects / Themes > Q Science > QC Physics
Subjects outside of the University Themes
Schools: Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title: Journal of the Optical Society of America A: Optics, Image Science & Vision (JOSA A)
Publisher: Optical Society of America
Refereed: Yes
ISSN: 10847529
Depositing User: H Kenna
Date Deposited: 22 Aug 2007 11:53
Last Modified: 27 Aug 2021 19:48
URI: http://usir.salford.ac.uk/id/eprint/302

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