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Realization of general first-order optical systems using nine thin cylindrical lenses of arbitrary focal length and four units of free propagation distance

Yasir, PAA (2021) Realization of general first-order optical systems using nine thin cylindrical lenses of arbitrary focal length and four units of free propagation distance. In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, 38 (5). pp. 644-653.

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Official URL: https://doi.org/10.1364/JOSAA.423143

Abstract

General first-order optical systems�represented by a four-dimensional real symplectic group�can be realized using thin lenses and free propagation transformations. It is shown that such systems can be realized using four units of free propagation transformation and nine thin rotated cylindrical lenses (or equivalently, four thin rotated astigmatic lenses and a thin rotated cylindrical lens). If these nine thin lenses placed in five transverse planes can be realized using spatial light modulators (SLMs), then our gadget realizes any general first-order optical system using five SLMs. It is also outlined that any general first-order optical system with finite symplectic matrix entries can always be realized using at least any one of the identities presented here, when a particular decomposition demands thin lenses with impractical focal length. © 2021 Optical Society of America

Item Type: Journal Article
Publication: Journal of the Optical Society of America A: Optics and Image Science, and Vision
Publisher: The Optical Society
Additional Information: The copyright for this article belongs to The Optical Society
Keywords: Lenses; Light modulators, Cylindrical lens; First-order optical systems; Free propagation; Rotated cylindrical lens; Spatial light modulators; Symplectic groups; Symplectic matrices; Transverse planes, Optical systems
Department/Centre: Division of Physical & Mathematical Sciences > Instrumentation Appiled Physics
Date Deposited: 27 Jul 2021 10:57
Last Modified: 27 Jul 2021 10:57
URI: http://eprints.iisc.ac.in/id/eprint/68948

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