Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12666/518
Title: | Field aberrations in terms of the Q-polynomial basis and its relationship to the Zernike basis |
Authors: | García Moreno, A. Restrepo, R. Belenguer Dávila, T. González Fernández, M. |
Keywords: | Q-polynomial basis;Zernike basis;Freeform surfaces |
Issue Date: | 1-Feb-2021 |
Publisher: | Optica Publishing Group |
DOI: | 10.1364/OSAC.410304 |
Citation: | OSA Continuum 4(2): 542-555(2021) |
Abstract: | The aberrations generated at the image plane of an optical system that includes freeform surfaces described through Q-polynomials can be calculated using nodal aberration theory. By analyzing the definition of each Q-polynomial, they can be compared with Zernike polynomials allowing a relationship between the two bases. This relationship is neither simple nor direct, so a fitting must be made. Once established, the contribution to the aberration field map generated by each surface described through the Q-polynomial can be calculated for any surface that is not at the stop of the system. The Q-polynomials are characterized by their orthogonality in the gradient instead of the surface, which represents an opportunity to restrict the changes in the slope in a simple way and facilitate the manufacturing process. The knowledge of the field aberrations generated by each Q-polynomial allows selecting that which of them are necessary to be introduced as variables in the optimization process for an efficient optimization. |
Description: | 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement (https://opg.optica.org/library/license_v1.cfm#VOR-OA) |
URI: | http://hdl.handle.net/20.500.12666/518 |
E-ISSN: | 2578-7519 |
Appears in Collections: | (Espacio) Artículos |
Files in This Item:
File | Description | Size | Format | |
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Field aberrations in terms of the Q polynomial basis and its relationship to the Zernike basis.pdf | 4,94 MB | Adobe PDF | ![]() View/Open |
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