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In this work, the paraxial version of Maxwell equations is derived with the use of two Riemann-Silberstein vectors. Exact solutions of these equations are then obtained representing the paraxial electromagnetic fields. These fields satisfy…

Optics · Physics 2025-04-01 Tomasz Radozycki

Exact closed-form solutions to Maxwell's equations are used to investigate electron acceleration driven by radially polarized laser beams in the nonparaxial and ultrashort pulse regime. Besides allowing for higher energy gains, such beams…

Accelerator Physics · Physics 2015-06-12 Vincent Marceau , Alexandre April , Michel Piché

Exact closed-form solutions to Maxwell's equations are used to investigate the acceleration of electrons in vacuum driven by ultrashort and nonparaxial radially polarized laser pulses. We show that the threshold power above which…

Accelerator Physics · Physics 2012-11-20 Vincent Marceau , Alexandre April , Michel Piché

A detailed study of direct laser-driven electron acceleration in paraxial Laguerre-Gaussian modes corresponding to helical beams $\text{LG}_{0m}$ with azimuthal modes $m=\left\{1,2,3,4,5\right\}$ is presented. Due to the difference between…

Plasma Physics · Physics 2025-07-16 Etele Molnár , Dan Stutman

Using plasma mirror injection we demonstrate, both analytically and numerically, that a circularly polarized helical laser pulse can accelerate highly collimated dense bunches of electrons to several hundred MeV using currently available…

Plasma Physics · Physics 2023-06-14 Yin Shi , David Blackman , Alexey Arefiev

One of the reasons for the tremendous success of a plane-wave approximation in particle physics is that the non-paraxial corrections to such observables as energy, magnetic moment, scattering cross section, and so on are attenuated as…

Quantum Physics · Physics 2018-06-26 Dmitry Karlovets

We demonstrate the fractional Talbot effect of nonpraxial accelerating beams, theoretically and numerically. It is based on the interference of nonparaxial accelerating solutions of the Helmholtz equation in two dimensions. The effect…

We study multi-parameter solutions of the inhomogeneous paraxial wave equation in a linear and quadratic approximation which include oscillating laser beams in a parabolic waveguide, spiral light beams, and other important families of…

Optics · Physics 2015-10-20 Christoph Koutschan , Erwin Suazo , Sergei K. Suslov

We study the Schr\"odinger equation which comes from the paraxial approximation of the Helmholtz equation in the case where the direction of propagation is tilted with respect to the boundary of the domain. In a first part, a mathematical…

Numerical Analysis · Mathematics 2013-01-21 Marie Doumic , Frédéric Duboc , François Golse , Rémi Sentis

We study and discuss electron acceleration in vacuum interacting with fundamental Gaussian pulses using specific parameters relevant for the multi-PW femtosecond lasers at ELI-NP. Taking into account the characteristic properties of both…

Plasma Physics · Physics 2020-12-03 Etele Molnar , Dan Stutman , Catalin Ticos

Recent studies have demonstrated the possibility of accelerating electrons to MeV energies in ambient air using tightly focused laser configurations. In this article, we explore possible strategies to control and optimize the resulting…

The evaluation of vector wave fields can be accurately performed by means of diffraction integrals, differential equations and also series expansions. In this paper, a Bessel series expansion which basis relies on the exact solution of the…

Optics · Physics 2018-03-14 Mahin Naserpour , Carlos J. Zapata-Rodriguez

The different forms of propagation of relativistic electron plasma wavepackets in terms of Airy functions are studied. It is shown that exact solutions can be constructed showing accelerated propagations along coordinates transverse to the…

Plasma Physics · Physics 2023-06-21 Maricarmen A. Winkler , Camilo Vásquez-Wilson , Felipe A. Asenjo

A plane-wave approximation in particle physics implies that a width of a massive wave packet $\sigma_{\perp}$ is much larger than its Compton wavelength $\lambda_c = \hbar/mc$. For Gaussian beams or for packets with the non-singular phases…

Quantum Physics · Physics 2018-07-30 Dmitry Karlovets

Dielectric structures driven by laser-generated terahertz (THz) pulses may hold the key to overcoming the technological limitations of conventional particle accelerators and with recent experimental demonstrations of acceleration,…

We present experimental results of vacuum laser acceleration (VLA) of electrons using radially polarized laser pulses interacting with a plasma mirror. Tightly focused radially polarized laser pulses have been proposed for electron…

Plasma Physics · Physics 2021-01-04 N. Zaïm , D. Guénot , L. Chopineau , A. Denoeud , O. Lundh , H. Vincenti , F. Quéré , J. Faure

THz radiation promises breakthrough advances in compact advanced accelerators due to the high frequency and GV/m fields achievable, orders of magnitude larger than in conventional radiofrequency (RF) based accelerators. Compared to…

Accelerator Physics · Physics 2018-03-07 Emma Curry , Siara Fabbri , Jared Maxson , Pietro Musumeci , Avraham Gover

Thanks to the fabrication of large aperture phase optics, ultra-intense relativistic laser plasma interaction (RLPI) experiments with complex polarization states are becoming feasible. In this work, we perform a computational investigation…

Plasma Physics · Physics 2025-09-03 Nour El Houda Hissi , Gregory K. Ngirmang , Joseph Smith , Enam A. Chowdhury

Direct laser acceleration has proven to be an efficient source of high-charge electron bunches and high brilliance X-rays. However, an analytical description of the acceleration in the interaction with varying plasma density targets is…

Plasma Physics · Physics 2024-12-19 Robert Babjak , Bertrand Martinez , Miroslav Krus , Marija Vranic

Laser-plasma technology promises a drastic reduction of the size of high energy electron accelerators. It could make free electron lasers available to a broad scientific community, and push further the limits of electron accelerators for…

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