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For: Swantner W, Chow WW. Gram-Schmidt orthonormalization of Zernike polynomials for general aperture shapes. Appl Opt 1994;33:1832-1837. [PMID: 20885515 DOI: 10.1364/ao.33.001832] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Number Cited by Other Article(s)
1
Dresselhaus JL, Zakharova M, Ivanov N, Fleckenstein H, Prasciolu M, Yefanov O, Li C, Zhang W, Middendorf P, Egorov D, De Gennaro Aquino I, Chapman HN, Bajt S. X-ray focusing below 3 nm with aberration-corrected multilayer Laue lenses. OPTICS EXPRESS 2024;32:16004-16015. [PMID: 38859238 DOI: 10.1364/oe.518964] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/15/2024] [Accepted: 04/02/2024] [Indexed: 06/12/2024]
2
Seiboth F, Kubec A, Schropp A, Niese S, Gawlitza P, Garrevoet J, Galbierz V, Achilles S, Patjens S, Stuckelberger ME, David C, Schroer CG. Rapid aberration correction for diffractive X-ray optics by additive manufacturing. OPTICS EXPRESS 2022;30:31519-31529. [PMID: 36242232 DOI: 10.1364/oe.454863] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/25/2022] [Accepted: 08/02/2022] [Indexed: 06/16/2023]
3
Lin J, Zhou Y, Wang H, Gu Y, Gao M, Guo X, Xu H. Impact of microvibration on the optical performance of an airborne camera. APPLIED OPTICS 2021;60:1283-1293. [PMID: 33690571 DOI: 10.1364/ao.411299] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/29/2020] [Accepted: 01/11/2021] [Indexed: 06/12/2023]
4
Bian D, Kim D, Kim B, Yu L, Joo KN, Kim SW. Diverging cyclic radial shearing interferometry for single-shot wavefront sensing. APPLIED OPTICS 2020;59:9067-9074. [PMID: 33104597 DOI: 10.1364/ao.402903] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/15/2020] [Accepted: 09/11/2020] [Indexed: 06/11/2023]
5
Yang T, Takaki N, Bentley J, Schmidt G, Moore DT. Efficient representation of freeform gradient-index profiles for non-rotationally symmetric optical design. OPTICS EXPRESS 2020;28:14788-14806. [PMID: 32403513 DOI: 10.1364/oe.391996] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/03/2020] [Accepted: 04/18/2020] [Indexed: 06/11/2023]
6
Sun C, Wang D, Deng X, Yuan Q, Hu D, Sun L, Zheng Y, Huang L. Numerical analysis of a novel two-stage enlargement and adaptive correction approach for the annular aberration compensation. OPTICS EXPRESS 2019;27:25205-25227. [PMID: 31510397 DOI: 10.1364/oe.27.025205] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/28/2019] [Accepted: 07/29/2019] [Indexed: 06/10/2023]
7
Sun C, Huang L, Wang D, Deng X, Hu D, Sun L, Zheng Y. Theoretical research on the novel adaptive optics configuration based on the tubular deformable mirror for the aberration correction of the annular laser beam. OPTICS EXPRESS 2019;27:9215-9231. [PMID: 31052729 DOI: 10.1364/oe.27.009215] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/03/2019] [Accepted: 03/01/2019] [Indexed: 06/09/2023]
8
Takaki N, Bauer A, Rolland JP. On-the-fly surface manufacturability constraints for freeform optical design enabled by orthogonal polynomials. OPTICS EXPRESS 2019;27:6129-6146. [PMID: 30876206 DOI: 10.1364/oe.27.006129] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2018] [Accepted: 01/31/2019] [Indexed: 06/09/2023]
9
Takaki N, Bauer A, Rolland JP. Degeneracy in freeform surfaces described with orthogonal polynomials. APPLIED OPTICS 2018;57:10348-10354. [PMID: 30645243 DOI: 10.1364/ao.57.010348] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/08/2018] [Accepted: 11/05/2018] [Indexed: 06/09/2023]
10
Surface error modeling, evaluation and optimization of large optics in inertial confinement fusion laser system. FUSION ENGINEERING AND DESIGN 2018. [DOI: 10.1016/j.fusengdes.2018.08.005] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
11
Mafusire C, Krüger TPJ. Strehl ratio and amplitude-weighted generalized orthonormal Zernike-based polynomials. APPLIED OPTICS 2017;56:2336-2345. [PMID: 28375280 DOI: 10.1364/ao.56.002336] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
12
Tian C, Chen X, Liu S. Modal wavefront reconstruction in radial shearing interferometry with general aperture shapes. OPTICS EXPRESS 2016;24:3572-3583. [PMID: 26907014 DOI: 10.1364/oe.24.003572] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
13
Ferreira C, López JL, Navarro R, Sinusía EP. Zernike-like systems in polygons and polygonal facets. APPLIED OPTICS 2015;54:6575-6583. [PMID: 26367845 DOI: 10.1364/ao.54.006575] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
14
Algorri JF, Urruchi V, Bennis N, Sánchez-Pena JM, Otón JM. Tunable liquid crystal cylindrical micro-optical array for aberration compensation. OPTICS EXPRESS 2015;23:13899-13915. [PMID: 26072760 DOI: 10.1364/oe.23.013899] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
15
Dai F, Wang X, Sasaki O. Orthonormal polynomials for annular pupil including a cross-shaped obstruction. APPLIED OPTICS 2015;54:2922-2928. [PMID: 25967208 DOI: 10.1364/ao.54.002922] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/12/2014] [Accepted: 02/24/2015] [Indexed: 06/04/2023]
16
Park K, Cho M, Lee DH, Moon B. Performance analysis of a mirror by numerical iterative method. OPTICS EXPRESS 2014;22:31864-31874. [PMID: 25607154 DOI: 10.1364/oe.22.031864] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
17
Navarro R, López JL, Díaz JA, Sinusía EP. Generalization of Zernike polynomials for regular portions of circles and ellipses. OPTICS EXPRESS 2014;22:21263-21279. [PMID: 25321506 DOI: 10.1364/oe.22.021263] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
18
Díaz JA, Navarro R. Orthonormal polynomials for elliptical wavefronts with an arbitrary orientation. APPLIED OPTICS 2014;53:2051-2057. [PMID: 24787161 DOI: 10.1364/ao.53.002051] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2013] [Accepted: 02/18/2014] [Indexed: 06/03/2023]
19
Díaz JA, Mahajan VN. Orthonormal aberration polynomials for optical systems with circular and annular sector pupils. APPLIED OPTICS 2013;52:1136-1147. [PMID: 23434982 DOI: 10.1364/ao.52.001136] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2012] [Accepted: 12/26/2012] [Indexed: 06/01/2023]
20
Gordon JA, Buscher DF, Baron F. Long-exposure filtering of turbulence-degraded wavefronts. APPLIED OPTICS 2011;50:5303-5309. [PMID: 21947050 DOI: 10.1364/ao.50.005303] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
21
Navarro R, Rivera R, Aporta J. Representation of wavefronts in free-form transmission pupils with Complex Zernike Polynomials. JOURNAL OF OPTOMETRY 2011;4:41-48. [PMCID: PMC3974387 DOI: 10.1016/s1888-4296(11)70040-1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/07/2011] [Accepted: 04/15/2011] [Indexed: 06/01/2023]
22
Uribe-Patarroyo N, Alvarez-Herrero A, Belenguer T. A comprehensive approach to deal with instrumental optical aberrations effects in high-accuracy photon's orbital angular momentum spectrum measurements. OPTICS EXPRESS 2010;18:21111-21120. [PMID: 20941007 DOI: 10.1364/oe.18.021111] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
23
Dai GM, Mahajan VN. Orthonormal polynomials in wavefront analysis: error analysis. APPLIED OPTICS 2008;47:3433-3445. [PMID: 18594590 DOI: 10.1364/ao.47.003433] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
24
Hou X, Wu F, Yang L, Chen Q. Comparison of annular wavefront interpretation with Zernike circle polynomials and annular polynomials. APPLIED OPTICS 2006;45:8893-901. [PMID: 17119589 DOI: 10.1364/ao.45.008893] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
25
Hou X, Wu F, Yang L, Wu S, Chen Q. Full-aperture wavefront reconstruction from annular subaperture interferometric data by use of Zernike annular polynomials and a matrix method for testing large aspheric surfaces. APPLIED OPTICS 2006;45:3442-55. [PMID: 16708088 DOI: 10.1364/ao.45.003442] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/09/2023]
26
Upton R, Ellerbroek B. Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape. OPTICS LETTERS 2004;29:2840-2842. [PMID: 15645798 DOI: 10.1364/ol.29.002840] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
27
van Brug H. Zernike polynomials as a basis for wave-front fitting in lateral shearing interferometry. APPLIED OPTICS 1997;36:2788-2790. [PMID: 18253271 DOI: 10.1364/ao.36.002788] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
28
Powell I. Pupil exploration and wave-front-polynomial fitting of optical systems. APPLIED OPTICS 1995;34:7986-7997. [PMID: 21068896 DOI: 10.1364/ao.34.007986] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
29
Evans CJ, Parks RE, Sullivan PJ, Taylor JS. Visualization of surface figure by the use of Zernike polynomials. APPLIED OPTICS 1995;34:7815-7819. [PMID: 21068872 DOI: 10.1364/ao.34.007815] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
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