What Do Forbidden Light-ray Fields Look Like?

Stockman, P., Oxburgh, S., Tyc, T. and Courtial, J. (2014) What Do Forbidden Light-ray Fields Look Like? In: Novel Optical Systems Design and Optimization XVII, San Diego, CA, USA, 17-21 Aug 2014, p. 919304. (doi:10.1117/12.2061409)

[img]
Preview
Text
158527.pdf - Published Version

2MB

Abstract

Ray-optically, optical components change a light-ray field on a surface immediately in front of the component into a different light-ray field on a surface behind the component. In the ray-optics limit of wave optics, the incident and outgoing light-ray directions are given by the gradient of the phase of the incident and outgoing light field, respectively. But as the curl of any gradient is zero, the curl of the light-ray field also has to be zero. The above statement about zero curl is true in the absence of discontinuities in the wave field. But exactly such discontinuities are easily introduced into light, for example by passing it through a glass plate with discontinuous thickness. This is our justification for giving up on the global continuity of the wave front, thereby compromising the quality of the field (which now suffers from diffraction effects due to the discontinuities) but also allowing light-ray fields that appear to be (but are not actually) possessing non-zero curl and there by significantly extending the possibilities of optical design. Here we discuss how the value of the curl can be seen in a light-ray field. As curl is related to spatial derivatives, the curl of a light-ray field can be determined from the way in which light-ray direction changes when the observer moves. We demonstrate experimental results obtained with light-ray fields with zero and apparently non-zero curl.

Item Type:Conference Proceedings
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Courtial, Dr Johannes and Oxburgh, Mr Stephen
Authors: Stockman, P., Oxburgh, S., Tyc, T., and Courtial, J.
College/School:College of Science and Engineering > School of Physics and Astronomy
ISSN:0277-786X
Copyright Holders:Copyright © 2014 SPIE
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

University Staff: Request a correction | Enlighten Editors: Update this record