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The intensity peak of a "flying focus" travels at a programmable velocity over many Rayleigh ranges while maintaining a near-constant profile. Assessing the extent to which these features can enhance laser-based applications requires an…

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

We discuss a class of exact finite energy solutions to the vacuum source-free Maxwell field equations as models for multi- and single cycle laser pulses in classical interaction with relativistic charged test particles. These solutions are…

Optics · Physics 2016-02-17 S. Goto , R. W. Tucker , T. J. Walton

We discuss the use of a class of exact finite energy solutions to the vacuum source-free Maxwell equations as models for multi- and single cycle laser pulses in classical interaction with relativistic charged point particles. These compact…

Quantum Physics · Physics 2016-06-22 S. Goto , R. W. Tucker , T. J. Walton

Analytic expressions for the electromagnetic fields of an ultrashort, tightly focused, linearly polarized laser pulse in vacuum are derived from scalar and vector potentials, using a small parameter which assumes a small bandwidth of the…

Fully analytic expressions, for the electric and magnetic fields of an ultrashort and tightly focused laser pulse of the radially polarized category, are presented to lowest order of approximation. The fields are derived from scalar and…

Optics · Physics 2017-10-11 Yousef I. Salamin , Jian-Xing Li

In this article we present a closed analytical description for few-cycle, focused electromagnetic pulses of arbitrary duration and carrier-envelope-phase (CEP). Because of the vectorial character of light, not all thinkable one-dimensional…

Classical Physics · Physics 2011-08-10 Daniel an der Brügge , Alexander Pukhov

We derived and discussed new exact, monochromatic, finite-power, beam-like solutions of Maxwells equations in vacuum. We derived energy density flux, total power of the solution, and compared its effective beam area with that of the…

Optics · Physics 2017-04-12 Robert W. Hellwarth , Liubing Huang

We derive focused laser pulse solutions to the electromagnetic wave equation in vacuum. After reproducing beam and pulse expressions for the well-known paraxial Gaussian and axicon cases, we apply the method to analyse a laser beam with…

Optics · Physics 2018-01-17 W. J. Waters , B. King

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

Analytic expressions for the fields of a radially polarized, ultrashort and tightly focused laser pulse propagating in a linear-response plasma are derived and discussed. The fields are obtained from solving the inhomogenous wave equations…

Optics · Physics 2017-10-11 Yousef I. Salamin

Optical signatures of the effective nonlinear couplings among electromagnetic fields in the quantum vacuum can be conveniently described in terms of stimulated photon emission processes induced by strong classical, space-time dependent…

Recently, a number of experimental observations on the superluminal group velocities of pulses propagating in dispersive media have led to reconsidering electromagnetism theory in an unconventional framework. To consider faster-than-light…

General Physics · Physics 2023-05-23 Luca Nanni

Numerical modeling of electromagnetic waves is an important tool for understanding the interaction of light and matter, and lies at the core of computational electromagnetics. Traditional approaches to injecting and evolving electromagnetic…

Computational Physics · Physics 2023-07-12 K. Weichman , K. G. Miller , B. Malaca , W. B. Mori , J. R. Pierce , D. Ramsey , J. Vieira , M. Vranic , J. P. Palastro

By using perturbation theory we derive an expression for the electrical field of a Gaussian laser pulse propagating in a gas medium. This expression is used as a trial solution in a variational method to get quasianalytical solutions for…

Optics · Physics 2009-11-11 E. Arevalo , A. Becker

In this article we have illustrated how is possible to formulate Maxwell's equations in vacuum in an independent form of the usual systems of units. Maxwell's equations, are then specialized to the most commonly used systems of units:…

Classical Physics · Physics 2019-07-02 Francesco Ferdinando Summa

We use a conceptually new approach to theoretical modeling of self-focusing in which we integrated diffractive and geometrical optics in order to explain and predict emission of white light and colored rings observed in ultrashort laser…

Optics · Physics 2014-04-02 V. V. Semak , M. N. Shneider

The object of this contribution is twofold. On one hand, it rises some general questions concerning the definition of the electromagnetic field and its intrinsic properties, and it proposes concepts and ways to answer them. On the other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bartolome Coll

The classification of exact solutions of Maxwell vacuum equations for the case when the electromagnetic fields and metrics of homogeneous spaces are invariant with respect to the motion group G(VII) is completed. All non-equivalent exact…

Mathematical Physics · Physics 2022-12-27 V. V. Obukhov

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
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