Optical signal processing: Holography, speckle and algorithms

Sheridan, John T.

doi:10.1364/srs.2011.smd1

Cited by 1 publication

(2 citation statements)

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“…We can perform a similar analysis for the improved ENZ scheme, corresponding to equations ( 39)- (42). The only difference with respect to the previous discussion lies in the computation of V m n , so we only need to re-estimate the computational cost of V m n in equation (41).…”

Section: The Enz-bb Methodsmentioning

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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Section: The Enz-bb Methodsmentioning

confidence: 99%

“…Another rapidly developing field in imaging is the digital holography [25,30,40,42], which finds applications in the quantitative visualization of phase objects such as living cells using microscopic objectives in a digital holographic set-up.…”

Section: Introductionmentioning

confidence: 99%