References
- Gu M. Advanced optical imaging theory. Berlin, Heidelberg: Springer-Verlag; 2000.
- Born M, Wolf M. Principles of optics: electromagnetic theory of propagation, interference and diffraction of light. 7th ed Cambridge: Cambridge University Press; 1999.
- Mahajan VN. Zernike-Gauss polynomials and optical aberrations of systems with Gaussian pupils. Appl Opt. 1995;34:8057–8059. doi: 10.1364/AO.34.008057
- Mahajan VN. Optical imaging and aberrations, part II: wave diffraction optics. 2nd ed. Bellingham (Washington): SPIE; 2011.
- Mafusire C, Krüger TPJ. Strehl ratio and amplitude-weighted generalized orthonormal Zernike-based polynomials. Appl Opt. 2017;56:2336–2345. doi: 10.1364/AO.56.002336
- Mafusire C, Krüger TPJ. Orthonormal vector general polynomials derived from the Cartesian gradient of the orthonormal Zernike-based polynomials. J Opt Soc Am A. 2018;35(6):840–849. doi: 10.1364/JOSAA.35.000840
- Schwiegerling J. Gaussian weighting of ocular wave-front measurements. J Opt Soc Am A. 2004;21(11):2065–2072. doi: 10.1364/JOSAA.21.002065
- Nam J, Rubinstein J. Weighted Zernike expansion with applications to the optical aberration of the human eye. J Opt Soc Am A. 2005;22(9):1709–1716. doi: 10.1364/JOSAA.22.001709
- Liao K, Hong Y, Sheng W. Wavefront aberrations of x-ray dynamical diffraction beams. App Opt. 2014;53(28):6362–6370. doi: 10.1364/AO.53.006362
- Mahajan VN. Optical imaging and aberrations, part III: wavefront analysis. Bellingham (Washington): SPIE; 2013.
- Dai G-M, Mahajan V. Nonrecursive determination of orthonormal polynomials with matrix formulation. Opt Lett. 2007;32:74–76. doi: 10.1364/OL.32.000074
- Dai G-M. Wavefront optics for vision correction. Bellingham (Washington): SPIE; 2008.
- Mahajan VN. Zernike coefficients of a scaled pupil. Appl Opt. 2010;49:5374–5377. doi: 10.1364/AO.49.005374
- Dai G-M, Mahajan V. Zernike annular polynomials and atmospheric turbulence. J Opt Soc Am A. 2007;24:139–155. doi: 10.1364/JOSAA.24.000139
- Ye J, Wang W, Gao Z, et al. Modal wavefront estimation from its slopes by numerical orthogonal transformation method over general shaped aperture. Opt Express. 2015;23:26208–26220. doi: 10.1364/OE.23.026208
- Li M, Li D, Zhang C, et al. Modal wavefront reconstruction from slope measurements for rectangular apertures. J Opt Soc Am A. 2015;32:1916–1921. doi: 10.1364/JOSAA.32.001916
- Janssen AJEM. Extended Nijboer–Zernike approach for the computation of optical point-spread functions. J Opt Soc Am A. 2002;19(5):849–857. doi: 10.1364/JOSAA.19.000849
- Noll RJ. Zernike polynomials and atmospheric turbulence*. J Opt Soc Am. 1976;66:207–211. doi: 10.1364/JOSA.66.000207
- Wong AK-K. Optical imaging in projection microlithography. Bellingham (Washington): SPIE; 2005.
- Wikipedia. The Free Encyclopaedia. [cited 2020 Feb 10]. https://en.wikipedia.org/w/index.php?title=Zernike_polynomials&oldid=928614376.
- Watkins DS. Fundamentals of matrix computations. 2nded. New York: Wiley; 2002.
- Banachiewicz T. Principles d'une nouvelle technique de la methode des moindres carres. Bull Intern Acad Polon Sci A. 1938: 134–135.
- Banachiewicz T. Méthode de résolution numérique des équations linéaires, du calcul des déterminants et des inverses, et de réduction des formes quadratiques. Bull Intern Acad Polon Sci A. 1938: 393–401.
- Gradshteyn IS, Ryzhik IM. Table of Integrals, Series, and Products. 7th ed. Boston: Academic Press; 2007.