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Abstrakty
Close-form expression for the Strehl ratio calculated in the spatial frequency domain of the optical transfer function (SOTF) is considered for the case of an optical system that has circular symmetry. First, it is proved that the SOTF for the aberration-free diffraction limited optical system is equal to one. Further, a semi-analytic solution for the SOTF for a system described by the second (defocus) and the fourth (spherical) order aberrations is provided. It is shown that the proposed semi-analytical solution is of an order of a magnitude computationally more efficient than the commonly used approach based on the discrete Fourier transformation.
Czasopismo
Rocznik
Tom
Strony
201--210
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
autor
- Department of Mathematics, University of Almería, Almería, Spain
autor
- Institute Carlos I for Theoretical and Computational Physics, Granada, Spain
autor
- Faculty of Fundamentals Problems of Technology, Wrocław University of Science and Technology, Wrocław, Poland
Bibliografia
- [1] CAMPBELL F.W., GREEN D.G., Optical and retinal factors affecting visual resolution, The Journal of Physiology 181(3), 1965, pp. 576–593.
- [2] MARSACK J.D., THIBOS L.N., APPLEGATE R.A., Metrics of optical quality derived from wave aberrations predict visual performance, Journal of Vision 4(4), 2004, pp. 322–328.
- [3] CHENG X., BRADLEY A., THIBOS L.N., Predicting subjective judgment of best focus with objective image quality metrics, Journal of Vision 4(4), 2004, pp. 310–321.
- [4] THIBOS L.N., HONG X., BRADLEY A., APPLEGATE R.A., Accuracy and precision of objective refraction from wavefront aberrations, Journal of Vision 4(4), 2004, pp. 329–351.
- [5] APPLEGATE R.A., Glenn Fry award lecture 2002: wavefront sensing, ideal corrections, and visual performance, Optometry and Vision Science 81(3), 2004, pp. 167–177.
- [6] MAHAJAN V.N., Strehl ratio for primary aberrations: some analytical results for circular and annular pupils, Journal of the Optical Society of America 72(9), 1982, pp. 1258–1266.
- [7] MAHAJAN V.N., Strehl ratio for primary aberrations in terms of their aberration variance, Journal of the Optical Society of America 73(6), 1983, pp. 860–861.
- [8] ALONSO M.A., FORBES G.W., Strehl ratio as the Fourier transform of a probability density of error differences, Optics Letters 41(6), 2016, pp. 3735–3738.
- [9] PEREZ J., MAS D., ILLUECA C., MIRET J.J., VAZQUEZ C., HERNANDEZ C., Complete algorithm for the calculation light patterns inside the ocular media, Journal of Modern Optics 52(8), 2005, pp. 1161–1176
- [10] YUANBIAO LU, YONGYING YANG, YANGJIE CHEN, YONGMO ZHUO, Calculating Strehl ratio through radial shearing method, Proceedings of SPIE 5638, 2005, p. 429.
- [11] BOND C.Z., CORREIA C.M., SAUVAGE J.-F., NEICHEL B., FUSCO T., Iterative wave-front reconstruction in the Fourier domain, Optics Express 25(10), 2017, pp. 11452–11465.
- [12] ISKANDER D.R., Computational aspects of the visual Strehl ratio, Optometry and Vision Science 83(1), 2006, pp. 57–59.
- [13] LOHMANN A.W., PARIS D.P., Influence on longitudinal vibrations on image quality, Applied Optics 4(4), 1965, pp. 393–397.
- [14] RAMOS-LÓPEZ D., MARTÍNEZ–FINKELSHTEIN A., ISKANDER D.R., Computational aspects of the through-focus characteristics of the human eye, Journal of the Optical Society of America A 31(7), 2014, pp. 1408–1415.
- [15] GOODMAN J.W., Introduction to Fourier Optics, 2nd Ed., McGraw-Hill, New York, 1968.
- [16] BADDOUR N., Operational and convolution properties of two-dimensional Fourier transforms in polar coordinates, Journal of the Optical Society of America A 26(8), 2009, pp. 1767–1777.
- [17] BADDOUR N., CHOUINARD U., Theory and operational rules for the discrete Hankel transform, Journal of the Optical Society of America A 32(4), 2015, pp. 611–622.
- [18] ISKANDER D.R., DAVIS B., COLLINS M.J.. FRANKLIN R., Objective refraction from monochromatic wavefront aberrations via Zernike power polynomials, Ophthalmic and Physiological Optics 27(3), 2007, pp. 245–255.
- [19] CASTAÑO-FERNANDEZ A.B., MARTÍNEZ-FINKELSHTEIN A., ISKANDER D.R., A semi-analytic approach to calculating the Strehl ratio for a circularly symmetric system. Part 2: dynamic wavefront, Optica Applicata 48(2), 2017, pp. 211–223.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
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