Ray optics of generalised lenses

Chaplain, G. J., Macauley, G., Bělín, J., Tyc, T., Cowie, E. N. and Courtial, J. (2016) Ray optics of generalised lenses. Journal of the Optical Society of America A: Optics Image Science and Vision, 33(5), pp. 962-969. (doi:10.1364/JOSAA.33.000962)

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Abstract

We study the ray optics of generalized lenses (glenses), which are ideal thin lenses generalized to have different object- and image-sided focal lengths, and the most general light-ray-direction-changing surfaces that stigmatically image any point in object space to a corresponding point in image space. Gabor superlenses [UK patent 541,753 (1940); J. Opt. A 1, 94 (1999) [CrossRef] ] can be seen as pixelated realizations of glenses. Our analysis is centered on the nodal point. Whereas the nodal point of a thin lens always resides in the lens plane, that of a glens can reside anywhere on the optical axis. Utilizing the nodal point, we derive simple equations that describe the mapping between object and image space and the light-ray-direction change. We demonstrate our findings with the help of ray-tracing simulations. Glenses allow novel optical instruments to be realized, at least theoretically, and our results facilitate the design and analysis of such devices.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Courtial, Dr Johannes and Cowie, Dr Euan
Authors: Chaplain, G. J., Macauley, G., Bělín, J., Tyc, T., Cowie, E. N., and Courtial, J.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Journal of the Optical Society of America A: Optics Image Science and Vision
Publisher:Optical Society of America
ISSN:1084-7529
ISSN (Online):1520-8532
Published Online:22 April 2016
Copyright Holders:Copyright © 2016 Optical Society of America
First Published:First published in Journal of the Optical Society of America A: Optics Image Science and Vision 33(5):962-969
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
670991Telescope windows: low-vision scopes to cloaksJohannes CourtialEngineering & Physical Sciences Research Council (EPSRC)EP/M010724/1S&E P&A - PHYSICS & ASTRONOMY