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|Title:||Field aberrations in terms of the Q-polynomial basis and its relationship to the Zernike basis|
|Authors:||García Moreno, A.|
Belenguer Dávila, T.
González Fernández, M.
|Keywords:||Q-polynomial basis;Zernike basis;Freeform surfaces|
|Publisher:||Optica Publishing Group|
|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)|
|Appears in Collections:||(Espacio) Artículos|
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