Results 21 to 30 of about 56,537 (294)

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

On an approach to constructing static ball models in General Relativity [PDF]

, 2011
An approach to construction of static models is demonstrated for a fluid ball. Five examples are considered. Two of them are exact solutions of the Einstein equations; the other three are connected with the Airy special functions, the hypergeometric ...
Baranov, Alexandre M.
core   +1 more source

Implementation of a superresolution far-field spot-generator with 1/5 the diffraction limit

Results in Optics, 2021
Diffractive optical elements with point spread functions that exhibit diameters smaller than the wavelength-dependent diffraction limit are considered superresolution filters.
Praneeth Gadamsetti, Markus Testorf, David A. Gonzalez, Paolo Batoni, Menelaos K. Poutous   +4 more
doaj   +1 more source

Three-Airy Beams, Their Propagation in the Fresnel Zone, the Autofocusing Plane Location, as Well as Generalizing Beams

Photonics
A family of 2D light fields consisting of the product of three Airy functions with linear arguments has been studied theoretically and experimentally.
Eugeny G. Abramochkin, Svetlana N. Khonina, Roman V. Skidanov   +2 more
doaj   +1 more source

3D single shot lensless incoherent optical imaging using coded phase aperture system with point response of scattered airy beams

Scientific Reports, 2023
Interferenceless coded aperture correlation holography (I-COACH) techniques have revolutionized the field of incoherent imaging, offering multidimensional imaging capabilities with a high temporal resolution in a simple optical configuration and at a low
Ravi Kumar, Vijayakumar Anand, Joseph Rosen   +2 more
doaj   +1 more source

Fermion propagator in an external potential and generalized Airy functions

, 2017
We study the behavior of the fermion propagator in an external time dependent potential in 0+1 dimension. We show that, when the potential has upto quadratic terms in time, the propagator can be expressed in terms of generalized Airy functions (or ...
Britto, A. L. M., Das, Ashok K., Frenkel, J.   +2 more
core   +1 more source

Airy phase functions

Applied and Computational Harmonic Analysis
It is well known that phase function methods allow for the numerical solution of a large class of oscillatory second order linear ordinary differential equations in time independent of frequency. Unfortunately, these methods break down in the commonly-occurring case in which the equation has turning points.
Richard Chow, James Bremer
openaire   +2 more sources

Airy function and 4d quantum gravity [PDF]

Journal of High Energy Physics, 2018
Abstract We study four-dimensional quantum gravity with negative cosmological constant in the minisuperspace approximation and compute the partition function for the S 3 boundary geometry. In this approximation scheme the path integrals become dominated by a class of asymptotically AdS “microstate geometries.” Despite ...
Caputa, Paweł, Hirano, Shinji
openaire   +3 more sources

Dual accelerating Airy-Talbot recurrence effect

, 2015
We demonstrate the dual accelerating Airy-Talbot recurrence effect, i.e., the self-imaging of accelerating optical beams, by propagating a superposition of Airy beams with successively changing transverse displacements.
Belić, Milivoj R., Liu, Xing, Xiao, Min, Zhang, Yanpeng, Zhang, Yiqi, Zhong, Hua, Zhong, Weiping   +6 more
core   +1 more source

Uniform Asymptotic Methods for Integrals [PDF]

, 2013
We give an overview of basic methods that can be used for obtaining asymptotic expansions of integrals: Watson's lemma, Laplace's method, the saddle point method, and the method of stationary phase.
Bleistein, Bleistein, Borwein, Chester, de Bruijn, Debye, Deift, Erdélyi, Erdélyi, Lekner, López, López, López, Mahler, Nico M. Temme, Oberhettinger, Olde Daalhuis, Olde Daalhuis, Olver, Olver, Olver, Olver, Olver, Ott, Paris, Perron, Szegő, Temme, Temme, Temme, Temme, Temme, Temme, Temme, Temme, Ursell, Ursell, Van der Corput, Van der Waerden, Wang, Wang, Watson, Wong, Wong, Zil’bergleĭt   +44 more
core   +3 more sources