Field aberrations in terms of the Q-polynomial basis and its relationship to the Zernike basis
| Autor: | René Restrepo, Tomás Belenguer-Dávila, Andrea García-Moreno, Luis M. González-Fernández |
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| Přispěvatelé: | Instituto Nacional de Técnica Aeroespacial (INTA) |
| Rok vydání: | 2021 |
| Předmět: |
Surface (mathematics)
Basis (linear algebra) Field (physics) Zernike polynomials Mathematical analysis Image plane Zernike basis Freeform surfaces Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials symbols.namesake Polynomial basis Orthogonality Simple (abstract algebra) symbols Electrical and Electronic Engineering Mathematics Q-polynomial basis |
| Zdroj: | DIGITAL.INTA Repositorio Digital del Instituto Nacional de Técnica Aeroespacial instname |
| Popis: | 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) 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. (INTA) Instituto Nacional de Técnica Aeroespacial 4000: Departamento de óptica Espacial (4200). |
| Databáze: | OpenAIRE |
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