Zernike aberrations when pupil varies: Selection rules, missing modes and graphical method to identify modes

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Aberrations of the eye and other image-forming systems are often analyzed by expanding the wavefront aberration function for a given pupil in Zernike polynomials. In previous articles explicit analytical formulae to transform Zernike coefficients of up to seventh order corresponding to wavefront abe...

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Autor principal: Comastri, Silvia Ana Elva
Otros Autores: Bastida, Karina Beatriz, Bianchetti, Arturo Abel, Perez, L.I, Pérez, G.D, Martin, G.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2009
Acceso en línea:Registro en Scopus
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100 1 |a Comastri, Silvia Ana Elva 
245 1 0 |a Zernike aberrations when pupil varies: Selection rules, missing modes and graphical method to identify modes 
260 |c 2009 
270 1 0 |m Comastri, S. A.; Grupo de Ptica y Visión, Departamento de Física, Universidad de Buenos Aires, (C1063ACV) Buenos Aires, Argentina; email: comastri@fi.uba.ar 
504 |a Born, M., Wolf, E., (1987) Principles of Optics 
504 |a Smith, W.J., (1966) Modern Optical Engineering 
504 |a Thibos, L.N., A VSIA-sponsored effort to develop methods and standards for the comparison of the wave-front aberration structure of the eye between devices and laboratories (1999) Vision Sciences and Its Applications 1, pp. 236-239 
504 |a Wilson, M., Campbell, M., Simonet, P., Changes of pupil centration with change of illumination and pupil size (1992) Opt. Vis. Sci., 69 (2), pp. 129-136 
504 |a Artal, P., Marcos, S., Iglesias, I., Green, D.G., Optical modulation transfer and contrast sensitivity with decentered small pupils in the human eye (1996) Vis. Res., 36 (22), pp. 3575-3586 
504 |a Applegate, R.A., Thibos, L.N., Bradley, A., Marcos, S., Roorda, A., Salmon, T.O., Atchison, D.A., Reference axis selection: Subcommittee report of the OSA working group to establish standards for measurement and reporting of optical aberrations of the eye (2000) J. Refract. Surg., 16, pp. 656-658 
504 |a Liang, J., Williams, D.R., Aberrations and retinal image quality of the normal human eye (1997) J. Opt. Soc. Am., 14 (11), pp. 2873-2883 
504 |a Tabernero, J., Benito, A., Alcón, E., Artal, P., Mechanism of compensation of aberrations in the human eye (2007) J. Opt. Soc. Am., 24 (10), pp. 3274-3283 
504 |a Guirao, A., Gonzalez, C., Redondo, M., Geragbty, E., Norrby, S., Artal, P., Average optical performance of the human eye as a function of age in a normal population (1999) Inv. Opt. Vis. Sci., 40, pp. 203-213 
504 |a Porter, J., Guirao, A., Cox, I.G., Williams, D., Monochromatic aberrations of the human eye in a large population (2001) J. Opt. Soc. Am., 18 (8), pp. 1793-1803 
504 |a Marcos, S., Barbero, S., Llorente, L., Merayo-Lloves, J., Optical response to myopic LASIK surgery from total and corneal aberration measurements (2001) Inv. Ophthalmol. Vis. Sci., 42, pp. 3349-3356 
504 |a Barbero, S., Marcos, S., Merayo-Lloves, J., Moreno Barriuso, E., Validation of the estimation of corneal aberrations from videokeratography in Keratoconus (2002) J. Refract. Surg., 18, pp. 263-269 
504 |a Guirao, A., Williams, D.R., Cox, I.G., Effect of rotation and translation on the expected benefit of an ideal method to correct the eye's higher order aberrations (2001) J. Opt. Soc. Am., 18 (5), pp. 1003-1015 
504 |a Schwiegerling, J., Scaling Zernike expansion coefficients to different pupil sizes (2002) J. Opt. Soc. Am., 19 (10), pp. 1937-1945 
504 |a Campbell, C.E., Matrix method to find a new set of Zernike coefficients from an original set when the aperture radius is changed (2003) J. Opt. Soc. Am., 20 (2), pp. 209-217 
504 |a Bara, S., Arines, J., Ares, J., Prado, P., Direct transformation of Zernike eye aberration coefficients between scaled, rotated and/or displaced pupils (2006) J. Opt. Soc. Am., 23 (9), pp. 2061-2066 
504 |a Lundström, L., Unsbo, P., Transformation of Zernike coefficients: Scaled, translated and rotated wavefronts with circular and elliptical pupils (2007) J. Opt. Soc. Am., 24 (3), pp. 569-577 
504 |a Comastri, S.A., Perez, L.I., Pérez, G.D., Martin, G., Bastida, K., Zernike expansion coefficients: Rescaling and decentring for different pupils and evaluation of corneal aberrations (2007) J. Opt. A: Pure Appl. Opt., 9 (3), pp. 209-221 
504 |a Comastri, S.A., Perez, L.I., Pérez, G.D., Bastida, K., Martin, G., Wavefront aberrations: Analytical method to convert Zernike coefficients from a pupil to a scaled arbitrarily decentered one (2008) Proc. Am. Inst. Phys., 992, pp. 69-74 
504 |a Comastri, S.A., Pérez, G.D., Martin, G., Bianchetti, A., Corneal Zernike aberrations for different pupils: Precision in the parameters and applications (2008) Pt. Pura Apl., 41, pp. 367-380 
506 |2 openaire  |e Política editorial 
520 3 |a Aberrations of the eye and other image-forming systems are often analyzed by expanding the wavefront aberration function for a given pupil in Zernike polynomials. In previous articles explicit analytical formulae to transform Zernike coefficients of up to seventh order corresponding to wavefront aberrations for an original pupil into those related to a contracted transversally displaced new pupil are obtained. In the present paper, selection rules for the direct and inverse coefficients' transformation are given and missing modes associated with certain displacement directions are analyzed. Taking these rules into account, a graphical method to qualitatively identify which are the elements of the transformation matrix and their characteristic dependence on pupil parameters is presented. This method is applied to fictitious systems having only one non-zero original coefficient and, for completeness, the new coefficient values are also analytically evaluated. © 2009 IOP Publishing Ltd.  |l eng 
593 |a Grupo de Ptica y Visión, Departamento de Física, Universidad de Buenos Aires, (C1063ACV) Buenos Aires, Argentina 
593 |a Consejo Nacional de Investigaciones Científicas y Técnicas, (C1033AAJ) Buenos Aires, Argentina 
593 |a Laboratorio de Ptica y Dimensional, Departamento de Física y Metrología, Instituto Nacional de Tecnología Industrial, (B1650WAB) Buenos Aires, Argentina 
593 |a Reichert Incorporated, 3362 Walden Avenue, Depew, NY 14127, United States 
690 1 0 |a OCULAR ABERRATIONS 
690 1 0 |a PUPIL SIZE AND CENTRING 
690 1 0 |a ZERNIKE COEFFICIENTS 
690 1 0 |a ANALYTICAL FORMULAS 
690 1 0 |a COEFFICIENT VALUES 
690 1 0 |a DISPLACEMENT DIRECTION 
690 1 0 |a GRAPHICAL METHODS 
690 1 0 |a IMAGE-FORMING SYSTEMS 
690 1 0 |a OCULAR ABERRATIONS 
690 1 0 |a PUPIL SIZE AND CENTRING 
690 1 0 |a SELECTION RULES 
690 1 0 |a TRANSFORMATION MATRICES 
690 1 0 |a WAVEFRONT ABERRATIONS 
690 1 0 |a ZERNIKE ABERRATIONS 
690 1 0 |a ZERNIKE COEFFICIENT 
690 1 0 |a ZERNIKE COEFFICIENTS 
690 1 0 |a ZERNIKE POLYNOMIALS 
690 1 0 |a GRAPHIC METHODS 
690 1 0 |a THREE TERM CONTROL SYSTEMS 
690 1 0 |a WAVEFRONTS 
690 1 0 |a ABERRATIONS 
700 1 |a Bastida, Karina Beatriz 
700 1 |a Bianchetti, Arturo Abel 
700 1 |a Perez, L.I. 
700 1 |a Pérez, G.D. 
700 1 |a Martin, G. 
773 0 |d 2009  |g v. 11  |k n. 8  |p J Opt A Pure Appl Opt  |x 14644258  |w (AR-BaUEN)CENRE-5726  |t Journal of Optics A: Pure and Applied Optics 
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