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Proceedings Paper

Ideal-lens stars
Author(s): Jakub Bĕlín; Tomáš Tyc; Stephen Oxburgh; Johannes Courtial
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Paper Abstract

We recently showed how structures of ideal (thin) lenses can act as (ray-optical) transformation-optics devices. This was done by breaking the structure down into all sets of ideal lenses in the structure that share a common edge, and showing that these sets have very specific imaging properties. In order to start the development of a general understanding of the imaging properties of sets of ideal lenses that share a common edge, we investigate here particularly simple and symmetric examples of combinations of ideal lenses that share a common edge. We call these combinations ideal-lens stars. An ideal-lens star is formed by N identical ideal lenses, each placed such that they share a principal point (which lies on the common edge) and such that the angles between all neighbouring lenses are the same. We find that that passage through every single ideal lens in the ideal-lens star images any point to itself. Furthermore, light-ray trajectories in ideal-lens stars are piecewise linear approximations to conic sections. (In the limit of N approaching infinity, they are conic sections.)

Paper Details

Date Published: 24 August 2017
PDF: 8 pages
Proc. SPIE 10376, Novel Optical Systems Design and Optimization XX, 1037605 (24 August 2017); doi: 10.1117/12.2272991
Show Author Affiliations
Jakub Bĕlín, Univ. of Glasgow (United Kingdom)
Tomáš Tyc, Masaryk Univ. (Czech Republic)
Stephen Oxburgh, Univ. of Glasgow (United Kingdom)
Johannes Courtial, Univ. of Glasgow (United Kingdom)

Published in SPIE Proceedings Vol. 10376:
Novel Optical Systems Design and Optimization XX
Arthur J. Davis; Cornelius F. Hahlweg; Joseph R. Mulley, Editor(s)

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