Results 31 to 40 of about 1,878 (250)
Results in Physics, 2018 In this letter, we deduce the approximate analytical formula for the finite Airy beam propagating in the misaligned slab system with a rectangular aperture by using the generalized Huygens-Fresnel integral equation, the light transfer matrix and ...
Long Jin, Qiang Zhang, Zhiqiang Yang
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Computation of Fresnel integrals [PDF]
Mathematics of Computation, 1960 No abstract.
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Bulletin des Sciences Mathématiques, 2005 The generalized Fresnel integrals are defined and studied in the paper. These integrals are considered for a finite number of variables. A convergence of the generalized Fresnel integrals is considered in the sence of distributions. The theorem is proved about their existence for a phase factor in the exponential multiplier satisfying conditions that ...
Sergio Albeverio, Mazzucchi, Sonia
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New integral functions generated by rising factorial powers
Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider new nonelementary functions such as the Fresnel integrals, generated by rising factorial powers. Graphs of such functions are plotted and some of their properties are proved.
T.P. Goy, R.A. Zatorsky
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Revista Brasileira de Ensino de Física, 2021 While most common holographic methods of digital reconstruction are based on the convolution theory, for the ease in the mathematical approach, here we present an algorithm by a discretization of the Huygens-Fresnel integral from a Taylor series ...
Felipe M. Prado +4 more
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Generalized infinite-dimensional Fresnel integrals
Comptes Rendus. Mathématique, 2003 A generalized infinite dimensional oscillatory integral with a polynomially growing phase function is defined and explicitly computed in terms of an absolutely convergent Gaussian integral. The results are applied to the Feynman path integral representation for the solution of the Schrödinger equation with an anharmonic oscillator potential.
Sergio Albeverio, Mazzucchi, Sonia
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Computation of Fresnel integrals
Journal of Research of the National Institute of Standards and Technology, 1997 This paper describes a method for spreadsheet computations of Fresnel integrals to six significant figures, based on successive improvements of known rational approximations which are accurate to only three figures. Outside the range of validity of the improved approximations, known series expansions are used to obtain the Fresnel integrals to six ...
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Electromagnetic Hanbury Brown and Twiss Effect in Atmospheric Turbulence
Photonics, 2021 The evolution of the 4 × 4 matrix with elements being the scintillation indices of the single-point Stokes parameters of a stationary electromagnetic beam-like optical field in classic, weak atmospheric turbulence is revealed.
Olga Korotkova, Yalçın Ata
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Advanced Functional Materials, EarlyView.A mineral‐based supra‐nano amorphous ruthenium dioxide composite (a‐Ru0.5‐AM) was designed, achieving 97% broadband solar absorption. Under one sun, it reaches 87.91 ± 0.32 °C with a distinct thermal buffering effect that favors thermal confinement.
Yunchen Long +13 more
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International Journal of Optics, 2022 In this paper, an analytical expression for describing propagation properties of twisted Gaussian Schell model array (TGSMA) beams through turbulent biological tissues is derived based on the extended Huygens Fresnel integral.
Yang Xianyang, Fu Wenyu
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