RT Journal Article
T1 Non-Euclidean symmetries of first-order optical systems
A1 Monzón Serrano, Juan José
A1 Montesinos Amilibia, José María
A1 Sánchez Soto, Luis Lorenzo
AB 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.
PB The Optical Society of America
SN 0030-3941
YR 2020
FD 2020-02
LK https://hdl.handle.net/20.500.14352/6123
UL https://hdl.handle.net/20.500.14352/6123
LA eng
NO Received 23 September 2019; revised 1 December 2019; accepted 6 December 2019; posted 6 December 2019 (Doc. ID 378661); published 10 January 2020
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 18 dic 2025