Results 11 to 20 of about 28,913 (272)
New iterative technique for computing Fourier transforms. [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 The Fourier transformations have stimulated many amounts of articles in recent years. they arise in the fields of engineering, control systems, and technology like analyzing signals in electronic circuits, radio circuits, cell phones, image processing ...
Ahmad Issa, Murat Düz
doaj +1 more source
Changing the trajectory of Airy beam sets with spatial carriers
Компьютерная оптика, 2022 In this paper, we study a change in the propagation trajectory of a set of autofocusing laser beams using a fractional Fourier transform. Clusters of displaced bounded Airy-Gaussian beams supplemented by a phase function that deflects the beam similarly ...
A.O. Frolov, А.V. Ustinov, S.N. Khonina
doaj +1 more source
Non-homogeneous impulsive time fractional heat conduction equation
Journal of Numerical Analysis and Approximation Theory, 2023 This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
doaj +1 more source
Airy transform of Laguerre-Gaussian beams
Optics Express, 2020 Airy transform of Laguerre-Gaussian (LG) beams is investigated. As typical examples, the analytic expressions for the Airy transform of LG01, LG02, LG11, and LG12 modes are derived, which are special optical beams including the Airy and Airyprime functions.
Guoquan, Zhou +2 more
openaire +2 more sources
Exact solutions for time-dependent complex symmetric potential well
Acta Polytechnica, 2023 Using the pseudo-invariant operator method, we investigate the model of a particle with a time-dependent mass in a complex time-dependent symmetric potential well V (x, t) = if (t) |x|.
Boubakeur Khantoul, Abdelhafid Bounames
doaj +1 more source
Airy transform of an electron Landau state in a longitudinal constant magnetic field
Results in Physics, 2023 In this article, a relationship between the electron beams in a longitudinal constant magnetic field and light beams in a parabolic refractive index distribution medium is revealed and demonstrated analytically.
Huilin Tang +6 more
doaj +1 more source
Some Results Involving the Airy Functions and Airy Transforms
Tatra Mountains Mathematical Publications, 2021 Abstract In the present work, the author studied some properties of the modified Bessel’s functions and Airy functions. It is worth mentioning that the Airy functions are used in many fields of physics. They are applied in many branches of classical and quantum physics. The author also studied certain properties of the Airy transform and
openaire +2 more sources
Bispectral Darboux transformations: The generalized Airy case [PDF]
Physica D: Nonlinear Phenomena, 1997 LaTeX, to appear in Physica D, a nicer postscript version is available at http://www.math.uga.edu/~kasman/
Kasman, Alex, Rothstein, Mitchell
openaire +2 more sources
Study on the Mainardi beam through the fractional Fourier transforms system [PDF]
Компьютерная оптика, 2018 In this paper, we introduced the Mainardi beam and indicated its attributes under the Fractional Fourier transform for power variations of Fractional Fourier transform.
Forouzan Habibi +2 more
doaj +1 more source
Topological computation of some Stokes phenomena on the affine line [PDF]
, 2019 Let $\mathcal M$ be a holonomic algebraic $\mathcal D$-module on the affine line, regular everywhere including at infinity. Malgrange gave a complete description of the Fourier-Laplace transform $\widehat{\mathcal M}$, including its Stokes multipliers at
D'Agnolo, Andrea +3 more
core +7 more sources