Abstract

We analyze the errors in a Zernike-polynomial description of the deformation over a noncircularly symmetric portion of the overall input pupil of an optical system. Analysis reveals that Zernike polynomials can be used for such description, provided certain restrictions are observed. In this paper, we describe an example where Zernike polynomials are used to describe and assess the adverse effect of primary-mirror deformation on image quality in a three-mirror off-axis anastigmat.

© 2021 Optical Society of America

An analytic expression for the field dependence of Zernike polynomials in rotationally symmetric optical systems

Robert W. Gray, Christina Dunn, Kevin P. Thompson, and Jannick P. Rolland
Opt. Express 20(15) 16436-16449 (2012)

Scalar analytical expressions for the field dependence of Zernike polynomials in asymmetric optical systems with circular symmetric surfaces

Alessandro Grosso and Toralf Scharf
OSA Continuum 3(10) 2749-2765 (2020)

Optimal local shape description for rotationally non-symmetric optical surface design and analysis

Ozan Cakmakci, Brendan Moore, Hassan Foroosh, and Jannick P. Rolland
Opt. Express 16(3) 1583-1589 (2008)

Ultrafast laser spatial beam shaping based on Zernike polynomials for surface processing

J. Houzet, N. Faure, M. Larochette, A.-C. Brulez, S. Benayoun, and C. Mauclair
Opt. Express 24(6) 6542-6552 (2016)

Comparative assessment of freeform polynomials as optical surface descriptions

Ilhan Kaya, Kevin P. Thompson, and Jannick P. Rolland
Opt. Express 20(20) 22683-22691 (2012)