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Paraxial propagation of Hermite cosine-hyperbolic-Gaussian beams in a chiral medium
The propagation properties of the Hermite-cosine-hyperbolic-Gaussian beam (HChGB) in a chiral medium are investigated. The analytical formula for a...
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Partially coherent vortex cosh-Gaussian beam and its paraxial propagation
In this work, the propagation properties of a partially coherent vortex cosh-Gaussian beam (PCvChGB) have been investigated. Within the framework of...
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Electron acceleration by a cosh-Gaussian laser beam driven electron plasma wave: extended paraxial theory
Excitation of electron plasma wave by an intense short laser pulse is relevant to electron acceleration process in laser plasma interactions. This...
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On some novel bright, dark and optical solitons to the cubic-quintic nonlinear non-paraxial pulse propagation model
In this article, the modified Khater method is utilized to extract new analytical solutions to the cubic-quintic nonlinear non-paraxial pulse...
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Testing the Paraxial Model of Sheet Electron Beams
AbstractThe paraxial model of a dense electron beam has been studied using analytical solutions that describe curvilinear sheet beams in a uniform...
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X-ray Fokker–Planck equation for paraxial imaging
The Fokker–Planck equation can be used in a partially-coherent imaging context to model the evolution of the intensity of a paraxial x-ray wave field...
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Non-paraxial 3d Polarization in 4d Light Fields
Recently, research has mainly been focused on structured singular light in the paraxial regime, as also presented in previous chapters. Here,...
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Wave Equation and Diffraction of Light
This chapter develops an understanding of the free-space diffraction problem starting with the Maxwell equations. Diffraction between two planes is...
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Elliptic function solutions, modulation instability and optical solitons analysis of the paraxial wave dynamical model with Kerr media
The optical solitary waves explain non-dispersive and non-diffractive spatiotemporal localized waves envelopes promulgating in the media of optical...
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Propagation of the kurtosis parameter of Hollow higher-order Cosh Gaussian beams through paraxial optical ABCD system
Based on the second-order and fourth-order irradiance moments, the closed-form of the propagation of the kurtosis parameter of non-truncated Hollow...
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Parity–time symmetric solitons of the complex KP equation
AbstractWe construct the parity–time symmetric solitons of the complex KP equation using the totally nonnegative Grassmannian. We obtain that...
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Helmholtz–Gauss Beams with Quadratic Radial Dependence
AbstractA new class of localized solutions of paraxial parabolic equation is introduced. Each solution is a product of some Gaussian-type localized...
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Three propagation regimes of Laguerre–Gaussian laser beams in collisionless plasma
Nonlinear optical effects in plasmas associated with light beams carrying orbital angular momentum are realizable in the form of Laguerre–Gaussian...
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Experimental realisations of the fractional Schrödinger equation in the temporal domain
The fractional Schrödinger equation (FSE)—a natural extension of the standard Schrödinger equation—is the basis of fractional quantum mechanics. It...
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Strong self-focusing of an intense cosh-Gaussian laser beam in magnetized plasma under relativistic effect
This work presents the self-focusing of an intense cosh-Gaussian laser beam in a magnetized plasma under relativistic nonlinearity. The field...
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Gaussian Optics
The paraxial or Gaussian approximation in geometric optics simplifies the calculation of the optical properties of the human eye. In this chapter the...
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Estimates of certain paraxial diffraction integral operator and its generalized properties
This paper aims to discuss a generalization of certain paraxial diffraction integral operator in a class of generalized functions. At the start of...
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Generation of strong terahertz field by relativistic cosh-Gaussian laser beam in ripple density magnetized plasma
This paper presents a scheme for the generation of terahertz (THz) field by self-focusing of a cosh-Gaussian laser beam in the magnetized and rippled...
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Thickness measurement of transparent liquid films with Paraxial Self-Reference Interferometry
In this paper, we introduce a non-invasive optical method, named Paraxial Self-Reference Interferometry (PSRI) for thickness measurement of liquid...
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Solving the Inverse Problem of Laser with Complex-Valued Field by Physics-Informed Neural Networks
In the resonator of an actual laser oscillator, the complex-valued laser field is extracted from the gain. The inverse problem of the laser is to...