Representation of wavefronts in free-form transmission pupils with Complex Zernike Polynomials

Purpose To propose and evaluate Complex Zernike polynomials (CZPs) to represent general wavefronts with non uniform intensity (amplitude) in free-from transmission pupils.

[1]  Jorge Ares,et al.  Direct transformation of Zernike eye aberration coefficients between scaled, rotated, and/or displaced pupils. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  Peter Dirksen,et al.  Assessment of an extended Nijboer-Zernike approach for the computation of optical point-spread functions. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[3]  A. Janssen,et al.  Extended Nijboer-Zernike representation of the vector field in the focal region of an aberrated high-aperture optical system. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[4]  M. Losada,et al.  Aberrations and Relative Efficiency of Light Pencils in the Living Human Eye , 1997, Optometry and vision science : official publication of the American Academy of Optometry.

[5]  G. Love,et al.  Wave-front correction and production of Zernike modes with a liquid-crystal spatial light modulator. , 1997, Applied Optics.

[6]  Arno Koning,et al.  Multiple object tracking: anticipatory attention doesn't "bounce". , 2012, Journal of vision.

[7]  J. Herrmann,et al.  Cross coupling and aliasing in modal wave-front estimation , 1981 .

[8]  L. Lundström,et al.  Transformation of Zernike coefficients: scaled, translated, and rotated wavefronts with circular and elliptical pupils. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[9]  Herwig Kogelnik,et al.  On the Propagation of Gaussian Beams of Light Through Lenslike Media Including those with a Loss or Gain Variation , 1965 .

[10]  R Navarro,et al.  Laser ray-tracing method for optical testing. , 1999, Optics letters.

[11]  A. Janssen Extended Nijboer-Zernike approach for the computation of optical point-spread functions. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[12]  Virendra N Mahajan,et al.  Zernike annular polynomials and atmospheric turbulence. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  Eugénie Dalimier,et al.  Experimental validation of a Bayesian model of visual acuity. , 2009, Journal of vision.

[14]  Charles S. Kenney,et al.  Comparison of the propagation characteristics of Bessel, Bessel–Gauss, and Gaussian beams diffracted by a circular aperture , 1991 .

[15]  Virendra N. Mahajan,et al.  Zernike Polynomial and Wavefront Fitting , 2006 .

[16]  D R Williams,et al.  Supernormal vision and high-resolution retinal imaging through adaptive optics. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[17]  J. M. Miller,et al.  Representation of videokeratoscopic height data with Zernike polynomials. , 1995, Journal of the Optical Society of America. A, Optics, image science, and vision.

[18]  Junzhong Liang,et al.  Objective measurement of wave aberrations of the human eye with the use of a Hartmann-Shack wave-front sensor. , 1994, Journal of the Optical Society of America. A, Optics, image science, and vision.

[19]  R A Applegate,et al.  Parametric representation of Stiles-Crawford functions: normal variation of peak location and directionality. , 1993, Journal of the Optical Society of America. A, Optics and image science.

[20]  D. Malacara Optical Shop Testing , 1978 .

[21]  J. Davison,et al.  History and development of the apodized diffractive intraocular lens , 2006, Journal of cataract and refractive surgery.

[22]  Virendra N. Mahajan,et al.  Zernike annular polynomials for imaging systems with annular pupils , 1984 .

[23]  W. Swantner,et al.  Gram-Schmidt orthonormalization of Zernike polynomials for general aperture shapes. , 1994, Applied optics.

[24]  Zbigniew Jaroszewicz,et al.  Presbyopia Compensation with a Quartic Axicon , 2005, Optometry and vision science : official publication of the American Academy of Optometry.