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

Robert W. Gray; Christina Dunn; Kevin P. Thompson; Jannick P. Rolland

doi:10.1364/oe.20.016436

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

Optics Express ◽

10.1364/oe.20.016436 ◽

2012 ◽

Vol 20 (15) ◽

pp. 16436 ◽

Cited By ~ 40

Author(s):

Robert W. Gray ◽

Christina Dunn ◽

Kevin P. Thompson ◽

Jannick P. Rolland

Keyword(s):

Field Dependence ◽

Optical Systems ◽

Zernike Polynomials ◽

Rotationally Symmetric ◽

Analytic Expression

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

Frontiers in Optics 2012/Laser Science XXVIII ◽

10.1364/fio.2012.ftu5f.4 ◽

2012 ◽

Author(s):

Robert W. Gray ◽

Christina Dunn ◽

Kevin P. Thompson ◽

Jannick P. Rolland

Keyword(s):

Field Dependence ◽

Optical Systems ◽

Zernike Polynomials ◽

Rotationally Symmetric ◽

Analytic Expression

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An analytic expression for the field dependence of FRINGE Zernike polynomial coefficients in rotationally symmetric optical systems

10.1117/12.863025 ◽

2010 ◽

Cited By ~ 2

Author(s):

Jannick P. Rolland ◽

Christina Dunn ◽

Kevin P. Thompson

Keyword(s):

Field Dependence ◽

Optical Systems ◽

Zernike Polynomial ◽

Polynomial Coefficients ◽

Rotationally Symmetric ◽

Analytic Expression

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Bi-Zernike polynomials for wavefront aberration function in rotationally symmetric optical systems

Renewable Energy and the Environment ◽

10.1364/freeform.2013.jm3a.6 ◽

2013 ◽

Cited By ~ 1

Author(s):

Jingfei Ye ◽

Zhishan Gao ◽

Shuai Wang ◽

Xiaoli Liu ◽

Zhongming Yang ◽

...

Keyword(s):

Optical Systems ◽

Wavefront Aberration ◽

Zernike Polynomials ◽

Rotationally Symmetric

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An analytic expression for the field dependence of FRINGE Zernike polynomial coefficients in optical systems that are rotationally nonsymmetric

10.1117/12.876787 ◽

2010 ◽

Cited By ~ 1

Author(s):

Kevin P. Thompson ◽

Kyle Fuerschbach ◽

Jannick P. Rolland

Keyword(s):

Field Dependence ◽

Optical Systems ◽

Zernike Polynomial ◽

Polynomial Coefficients ◽

Analytic Expression

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An Analytic Expression for the Field Dependence of Zernike Coefficients in Optical Systems without Symmetry

10.1364/fio.2010.fwj4 ◽

2010 ◽

Author(s):

Kevin P. Thompson ◽

Jannick P. Rolland

Keyword(s):

Field Dependence ◽

Optical Systems ◽

Analytic Expression

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

OSA Continuum ◽

10.1364/osac.396288 ◽

2020 ◽

Vol 3 (10) ◽

pp. 2749

Author(s):

Alessandro Grosso ◽

Toralf Scharf

Keyword(s):

Field Dependence ◽

Optical Systems ◽

Zernike Polynomials ◽

Analytical Expressions

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Orthogonal polynomials describing polarization aberration for rotationally symmetric optical systems

Optics Express ◽

10.1364/oe.23.027911 ◽

2015 ◽

Vol 23 (21) ◽

pp. 27911 ◽

Cited By ~ 9

Author(s):

Xiangru Xu ◽

Wei Huang ◽

Mingfei Xu

Keyword(s):

Orthogonal Polynomials ◽

Optical Systems ◽

Rotationally Symmetric

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Intrinsic axes of partially coherent light beams and their invariance through rotationally symmetric ABCD optical systems

Applied Physics B ◽

10.1007/s00340-011-4661-6 ◽

2011 ◽

Vol 105 (2) ◽

pp. 399-403

Author(s):

R. Martínez-Herrero ◽

P. M. Mejías ◽

M. Larraona-Puy ◽

A. Manjavacas

Keyword(s):

Optical Systems ◽

Coherent Light ◽

Partially Coherent ◽

Partially Coherent Light ◽

Rotationally Symmetric ◽

Light Beams

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Intensity and resolution at the diffraction focus of optical systems with rotationally symmetric aberration functions

Applied Optics ◽

10.1364/ao.31.004444 ◽

1992 ◽

Vol 31 (22) ◽

pp. 4444 ◽

Cited By ~ 1

Author(s):

Claudio Rivolta

Keyword(s):

Optical Systems ◽

Rotationally Symmetric ◽

Aberration Functions

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Double expansion of wavefront deformation in Zernike polynomials over the pupil and the field of view of optical systems: lens design, testing, and alignment

10.1117/12.332493 ◽

1998 ◽

Cited By ~ 11

Author(s):

Il'ya P. Agurok

Keyword(s):

Field Of View ◽

Optical Systems ◽

Zernike Polynomials ◽

Lens Design

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