Computational aspects of the through-focus characteristics of the human eye

Ramos-López, Darío; Martínez–Finkelshtein, Andrei; Iskander, D. Robert

doi:10.1364/josaa.31.001408

Cited by 5 publications

(5 citation statements)

References 31 publications

(37 reference statements)

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“…Moreover, asymmetric aberrations themselves significantly negatively influence retinal image quality, which could be the major reason coma or secondary astigmatic aberrations have drawn less attention. Asymmetric aberrations degrade retinal image quality for far vision, but can increase the DoF of the eye, 46 – 48 thus a trade-off exists between an optimal level of retinal image quality and the DoF. 28 , 49 …”

Section: Discussionmentioning

confidence: 99%

Effects of Neural Adaptation to Habitual Spherical Aberration on Depth of Focus

Bang,

Sabesan,

Yoon

2024

Preprint

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We investigated how long-term visual experience with habitual spherical aberration (SA) influences subjective depth of focus (DoF). Nine healthy cycloplegic eyes with habitual SAs of different signs and magnitudes were enrolled. An adaptive optics (AO) visual simulator was used to measure through-focus high-contrast visual acuity after correcting all monochromatic aberrations and imposing +0.5 µm and -0.5 µm SAs for a 6-mm pupil. The positive (n=6) and negative (n=3) SA groups ranged from 0.17 to 0.8 μm and from -1.2 to -0.12 μm for a 6-mm pupil, respectively. For the positive habitual SA group, the median DoF with positive AO-induced SA (2.18D) was larger than that with negative AO-induced SA (1.91D); for the negative habitual SA group, a smaller DoF was measured with positive AO-induced SA (1.81D) than that with negative AO-induced SA (2.09D). The difference in the DoF of individual participants between the induced positive and negative SA groups showed a quadratic relationship with the habitual SA. Subjective DoF tended to be larger when the induced SA in terms of the sign and magnitude was closer to the participant’s habitual SA, suggesting the importance of considering the habitual SA when applying the extended DoF method using optical or surgical procedures.

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Section: Discussionmentioning

confidence: 99%

Effects of Neural Adaptation to Habitual Spherical Aberration on Depth of Focus

Bang,

Sabesan,

Yoon

2024

Preprint

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“…In order to assess accuracy, we carried out a number of numerical experiments where we calculated U. For the ideal wavefront (Φ ≡ 0) and zero defocus ( f = 0), the results were discussed in [37], where it was shown that the two semi-analytic methods performed similarly, although GRBF calculations were done at a much lower cost.…”

Section: Accuracymentioning

confidence: 99%

“…Such class of functions allows also for an easy modeling of low and high-order oscillations. For experiments with a wavefront comprised of basically low-frequency oscillations see [37]. Here we have used the function given by…”

Section: Accuracymentioning

confidence: 99%

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Computation of 2D Fourier transforms and diffraction integrals using Gaussian radial basis functions

Martínez–Finkelshtein

Ramos-López

Iskander

2017

Applied and Computational Harmonic Analysis

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We implement an efficient method of computation of two dimensional Fourier-type integrals based on approximation of the integrand by Gaussian radial basis functions, which constitute a standard tool in approximation theory. As a result, we obtain a rapidly converging series expansion for the integrals, allowing for their accurate calculation. We apply this idea to the evaluation of diffraction integrals, used for the computation of the through-focus characteristics of an optical system.We implement this method and compare its performance in terms of complexity, accuracy and execution time with several alternative approaches, especially with the extended Nijboer-Zernike theory, which is also outlined in the text for the reader's convenience. The proposed method yields a reliable and fast scheme for simultaneous evaluation of such kind of integrals for several values of the defocus parameter, as required in the characterization of the through-focus optics.

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“…These analytical solutions include the first Lommel solution, the second Lommel solution, the Nijboer's solution with Zernike polynomials, etc. [2,4,5,9,10]. However, for a general input field, there is no analytical solution for the Fresnel transform, and it is often solved numerically [11].…”

Section: Optical Society Of Americamentioning

confidence: 99%

Fresnel transform as a projection onto a Nijboer–Zernike basis set

Hillenbrand

Zhao

et al. 2015

Opt. Lett.

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The Fresnel transform is widely used in optics to calculate the free-space propagation of paraxial fields. Generally, there is no analytical solution for the Fresnel transform; therefore, the numerical methods are used often. In this Letter, we propose a new semi-analytical method to calculate the Fresnel transform, which is based on an extended Nijboer-Zernike theory. We calculate two examples to investigate how the sampling rate and maximal number of Zernike polynomials affect the accuracy of our results, and then use this method to calculate the reconstruction of two different kinds of holograms. At the end, we discuss the advantages and disadvantages of our method.

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Computational aspects of the through-focus characteristics of the human eye

Cited by 5 publications

References 31 publications

Effects of Neural Adaptation to Habitual Spherical Aberration on Depth of Focus

Effects of Neural Adaptation to Habitual Spherical Aberration on Depth of Focus

Computation of 2D Fourier transforms and diffraction integrals using Gaussian radial basis functions

Fresnel transform as a projection onto a Nijboer–Zernike basis set

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