Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Geometric Method: A Novel Fast and Accurate Solution for the Inverse Problem in Risley Prisms

Juan Domingo Sandoval
,
Keyla Delgado
* ORCID logo ,
David Fariña
,
Fernando De La Puente
,
Roberto Esper-Chain
,
Margarita Marrero
ORCID logo
Version 1 : Received: 16 September 2022 / Approved: 19 September 2022 / Online: 19 September 2022 (10:35:40 CEST)

A peer-reviewed article of this Preprint also exists.

Sandoval, J.D.; Delgado, K.; Fariña, D.; de la Puente, F.; Esper-Chaín, R.; Martín, M. Geometric Method: A Novel, Fast and Accurate Solution for the Inverse Problem in Risley Prisms. Appl. Sci. 2022, 12, 11087. Sandoval, J.D.; Delgado, K.; Fariña, D.; de la Puente, F.; Esper-Chaín, R.; Martín, M. Geometric Method: A Novel, Fast and Accurate Solution for the Inverse Problem in Risley Prisms. Appl. Sci. 2022, 12, 11087.

Abstract

Today, mechanical tracking systems have been downsized to allow them to be used in the field of airborne laser communications and in the military domain. Risley systems are used for this purpose, which work by directing a beam of light to a given target point, this procedure is commonly known as the inverse problem. In this paper, an analytical method, the geometric method, has been designed and developed to determine the beam steering in a Risley system and solve the inverse problem. The method focuses on different geometric shapes, like circumference or ellipse, that are described when the beam passes through the second prism. The accuracy and efficiency of the geometric method has been analysed and found to be faster than the two-step method. Furthermore, the geometric method has been implemented in an iterative process and an accuracy of up to 1 pm has been achieved. This high accuracy would allow the geometric method to be applied in fields such as lithography, stereolithography or 3D printers.

Keywords

Geometrical optics; Risley prism; inverse solution; rotational wedges

Subject

Physical Sciences, Optics and Photonics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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