Results 11 to 20 of about 1,663 (242)
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
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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
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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
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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
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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.
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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
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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
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Generation of finite energy Airyprime beams by Airy transformation
Optics Express, 2022 In this paper, the lone generation of a new kind of beam named finite energy Airyprime (FEA) beam through the Airy transformation of the coherent superposition of four different elegant Hermite-Gaussian modes is reported for the first time. Analytical expressions of the centroid, the r.m.s beam width, the divergence angle, and the beam propagation ...
Xiang Zang +5 more
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Transformation of a Hermite-Gaussian beam by an Airy transform optical system
Optics Express, 2020 Analytical expression of the Airy transform of an arbitrary Hermite-Gaussian beam is derived. The optical field in the x-direction of the Airy transform of Hermite-Gaussian beams with transverse mode number m is the sum of the zero-order derivative to mth-order derivative of the Airy function with different weight coefficients.
Guoquan, Zhou +3 more
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Displacement fields of a Cuboid crystal in a Photoacoustic Cell: Mathematical aspects
Қарағанды университетінің хабаршысы. Физика сериясы, 2021 Photo acoustic effect is popular due to a minimal sample preparation during execution, the ability to examine scattering and opaque sample along with the capability to access depth profile.
А.П. Сароде +1 more
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