Laguerre Gaussian
Reflection and transmission of Laguerre Gaussian beams in a dielectric slab
... This paper considers the reflection and transmission characteristics of a Laguerre-Gaussian (LG) beam in a dielectric slab. The fields of the reflected and transmitted beams are described based on ...
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Dense relativistic electron mirrors from a Laguerre-Gaussian laser-irradiated micro-droplet
... In conclusion, we report on an efficient scheme for generating stable and dense relativistic electron mirrors from a circularly- polarized Laguerre-Gaussian laser-irradiated micro-droplet. The surface ...
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Atom guiding along high order Laguerre Gaussian light beams formed by spatial light modulation
... cloud. Laguerre–Gaussian beams, with p ¼ 0 and various azimuthal index l, are formed using a spatial light modulator (Hamamatsu X8267) with an efficiency of ...
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Acceleration and radiation of externally injected electrons in laser plasma wakefield driven by a Laguerre-Gaussian pulse
... By using three-dimensional particle-in-cell simulations externally injected electron beam acceleration and radiation in donut-like wakefields driven by a Laguerre-Gaussian pulse have been investigated. ...
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Acceleration and evolution of a hollow electron beam in wakefields driven by a Laguerre-Gaussian laser pulse
... We show that a ring-shaped hollow electron beam can be injected and accelerated by using a Laguerre-Gaussian laser pulse and ionization-induced injection in a laser wakefield accelerator. The acceleration ...
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Acceleration of on-axis and ring-shaped electron beams in wakefields driven by Laguerre-Gaussian pulses
... The acceleration of electron beams with multiple transverse structures in wakefields driven by Laguerre-Gaussian pulses has been studied through three-dimensional (3D) particle-in-cell simula- tions. Under ...
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Beam Propagation Factor of Partially Coherent Laguerre --- Gaussian Beams in Non-Kolmogorov Turbulence
... of partially coherent Laguerre-Gaussian (PCLG) beams in non- Kolmogorov turbulence, a generalized exponent and a generalized amplitude factor are introduced. Based on the extended Huygens- Fresnel principle ...
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Laguerre-Gaussian mode division multiplexing in multimode fiber using SLMs in VCSEL arrays
... Mode division multiplexing (MDM) is a promising technology for increasing the aggregate bandwidth of multimode fiber (MMF) in conjunction with wavelength division multiplexing (WDM) in face of the impending capacity ...
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Mechanical effects on atoms interacting with highly twisted Laguerre-Gaussian light
... of Laguerre-Gaussian (LG) laser light it was recognized that such states of light could herald a new technique in the manipulation of the atomic gross motion since a LG photon carries not only a linear ...
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Attosecond electron bunches from a nanofiber driven by Laguerre-Gaussian laser pulses
... Generation of attosecond bunches of energetic electrons offers significant potential from ultrafast physics to novel radiation sources. However, it is still a great challenge to stably produce such electron beams with ...
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Nonparaxial wave beams in a uniaxial birefringent crystal
... We have treated the propagation of nonparaxial beams along the optic axis of a uniaxial crystal. We have chosen a shape of generatrix beam in such a way that it have a standard form of Laguerre-Gaussian ...
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Experimental studies of cold atom guiding using hollow light beams
... hollow Laguerre-Gaussian beams, using holograms and spiral phase plates, and Bessel beams and outlines their properties as light tubes within which atoms may be ...
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On 2 orthogonal polynomials of Laguerre type
... In this paper, when d = 2, under special conditions and well-chosen parameters, we give a family of 2-orthogonal “classical” polynomials which are a natural extension of the classical Laguerre polynomials. These ...
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Hardy’s inequalities for the twisted convolution with Laguerre functions
... In this article, two types of Hardy’s inequalities for the twisted convolution with Laguerre functions are studied. The proofs are mainly based on an estimate for the Heisenberg left-invariant vectors of the ...
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Computing $\exp(-\tau A)b$ with Laguerre polynomials
... on Laguerre polynomials combined with a Filtered Conjugate Residual (FCR) framework to compute the product of the exponential of a matrix by a ...orthogonal Laguerre polynomials, much like existing methods ...
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Littlewood Paley Functions and Multipliers for the Laguerre Hypergroup
... Trimèche, “Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets,” Journal of Mathematical Analysis and Applications, vol.. Stempak, “An algebra asso[r] ...
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Hardy Littlewood type inequalities for Laguerre series
... A number of authors have studied the problems of pointwise convergence and mean convergence for different types of Laguerre series. Of particular interest are the results of Askey and Wainger [1], Chen and Lin [2], ...
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Mathematical Aspects of Laguerre Wavelets Transformation
... Laguerre wavelet is denoted by Lag(wav), is the type of wavelets and is used for solving differential equation, integral equation, variation problems and different sciences and engineering as well as fractional ...
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Sums of finite products of Legendre and Laguerre polynomials
... In this paper, we considered the Fourier series expansions for functions associated with Legendre and Laguerre polynomials. In addition, by using a method other than Fourier series expansions, we were able to ...
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