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Monzón Serrano, Juan José and Montesinos Amilibia, José María and Sánchez Soto, Luis Lorenzo (2020) Non-Euclidean symmetries of first-order optical systems. Journal of the Optical Society of America, 37 (2). pp. 225-230. ISSN 0030-3941
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Official URL: https://doi.org/10.1364/JOSAA.378661
Abstract
We revisit the basic aspects of first-order optical systems from a geometrical viewpoint. In the paraxial regime, there is a wide family of beams for which the action of these systems can be represented as a Möbius transformation. We examine this action from the perspective of non-Euclidean hyperbolic geometry and resort to the isometric-circle method to decompose it as a reflection followed by an inversion in a circle. We elucidate the physical meaning of these geometrical operations for basic elements, such as free propagation and thin lenses, and link them with physical parameters of the system.
Item Type: | Article |
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Additional Information: | Received 23 September 2019; revised 1 December 2019; accepted 6 December 2019; posted 6 December 2019 (Doc. ID 378661); published 10 January 2020 |
Uncontrolled Keywords: | Geometric optics; Ligth beams; Light fields; Optocal systems; Paraxial wave; Coherence |
Subjects: | Sciences > Physics > Optics Medical sciences > Optics > Geometrical and instumental optics |
ID Code: | 59798 |
Deposited On: | 04 Apr 2020 17:53 |
Last Modified: | 06 Apr 2020 10:30 |
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