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28 November 2023 Investigation of spline approximation approach of surface data for synthesis of high-efficient beam shapers
Yan V. Terlo, Aleksandra Bobe, Alexander Ivanov, Anna Voznesenskaya
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Proceedings Volume 12765, Optical Design and Testing XIII; 127650L (2023) https://doi.org/10.1117/12.2687119
Event: SPIE/COS Photonics Asia, 2023, Beijing, China
Abstract
When specifying optical surfaces of complex shape, polynomial representation methods are often used. However, if the equation of the curve is not described by a standard polynomial, the approximation error at the edges of such functions increases sharply - this introduces huge oscillations. Freeform surfaces of a complex geometric representation are achieved often as a result of design of beam shapers. Spline methods allow minimizing the effect of oscillations after the surface approximation of the beam shapers. In this paper, a comparative analysis of methods for approximation of freeform surfaces is given using the example of Focal-piShaper synthesis and single collimating lens with one freeform surface. The approximation results for the Focal-piShaper prove the high efficiency of the spline approximation, while in the case of aberration-free collimating lens it is preferable to use polynomial regression.
(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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Yan V. Terlo, Aleksandra Bobe, Alexander Ivanov, and Anna Voznesenskaya "Investigation of spline approximation approach of surface data for synthesis of high-efficient beam shapers", Proc. SPIE 12765, Optical Design and Testing XIII, 127650L (28 November 2023); https://doi.org/10.1117/12.2687119
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KEYWORDS
Optical surfaces
Beam shaping
Ray tracing
Design and modelling
Zemax
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