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The relativistic wave equations of a charged particle propagating in a classical monochromatic electromagnetic plane wave, in a medium of index of refraction n_m < 1, have been studied. In the Dirac case the found exact solutions…

Quantum Physics · Physics 2014-03-10 Sandor Varro

Self modulated dynamics of a relativistic charged particle beam is reviewed within the context of the theory of plasma wake field excitation. The self-consistent description of the beam dynamics is provided by coupling the Vlasov equation…

Accelerator Physics · Physics 2016-08-03 T. Akhter , R. Fedele , S. De Nicola , F. Tanjia , D. Jovanovic , A. Mannan

We develop a theory of particle acceleration inside relativistic rotating electron-positron force-free jets with spiral magnetic fields. We considered perturbation of the stationary magnetic field structure and found that acceleration takes…

Astrophysics · Physics 2009-11-07 A. R. Beresnyak , Ya. N. Istomin , V. I. Pariev

A three-dimensional, space-frequency model for simulation of interaction in free-electron lasers (FELs) is presented. The model utilizes an expansion of the total electromagnetic field (radiation and space-charge waves) in terms of…

Accelerator Physics · Physics 2009-11-13 Yosef Pinhasi , Yuri Lurie , Asher Yahalom

We present an analytical method to compute the wavenumbers and electric fields of the space-charge-wave eigenmodes supported by a two-stream electron beam, consisting of a solid inner cylindrical stream and a coaxial outer annular stream,…

Plasma Physics · Physics 2023-04-12 Tarek Mealy , Robert Marosi , Kasra Rouhi , Filippo Capolino

We investigate the linearized hydrodynamic equations of interacting self-propelled particles in two dimensional space. It is found that the small perturbations of density and polarization fields satisfy the hyperbolic partial differential…

Biological Physics · Physics 2019-01-01 Waipot Ngamsaad , Suthep Suantai

A set of mode-coupled excitation equations for the slowly-growing amplitudes of dielectric waveguide eigenmodes is derived as a description of the electromagnetic signal field of a high-gain free-electron laser, or FEL, including the…

Optics · Physics 2009-11-13 Erik Hemsing , Avraham Gover , James Rosenzweig

Simulating beam loading in radiofrequency accelerating structures is critical for understanding higher-order mode effects on beam dynamics, such as beam break-up instability in energy recovery linacs. Full wave simulations of beam loading…

Accelerator Physics · Physics 2017-05-31 Dan T. Abell , Nathan M. Cook , Stephen D. Webb

The analytical and numerical analysis of the dynamics of charged particles in the field of an intensive transverse electromagnetic wave in a vacuum presented in the article. Identifies the conditions for resonant acceleration of particles.…

General Physics · Physics 2021-04-26 Vyacheslav Aleksandrovich Buts

A self-consistent semi-analytical theory of beam loading in inhomogeneous accelerating structures based on the generalized theory of coupled modes is proposed. A single-mode approximation was used when the fields are represented as a sum of…

Accelerator Physics · Physics 2025-08-19 M. I. Ayzatsky

We consider the evolution of electromagnetic fields in curved spacetimes and calculate the exact wave equations of the associated electric and magnetic components. Our analysis is fully covariant, applies to a general spacetime and isolates…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Christos G. Tsagas

The self-consistent interaction between a beam of charged particles and a wave is considered, within a Vlasov picture. The model is discussed with reference to the case of a Free Electron Laser. Starting with a spatially bunched waterbag…

Mathematical Physics · Physics 2015-03-31 Romain Bachelard , Duccio Fanelli

We present the first experimental observation of accelerating beams in curved space. More specifically, we demonstrate, experimentally and theoretically, shape-preserving accelerating beams propagating on spherical surfaces: closed-form…

We briefly report on a recent proposal (Fiore in J Phys A Math Theor 51:085203, 2018) for simplifying the equations of motion of charged particles in an electromagnetic (EM) field $F^{\mu\nu}$ that is the sum of a plane travelling wave…

Plasma Physics · Physics 2018-07-03 Gaetano Fiore , Paolo Catelan

I theoretically found eigenmodes and growth rates of relativistic current filamentation instability in collisional regimes, deriving a generalized dispersion relation from self-consistent beam-Maxwell equations. For symmetrically…

Plasma Physics · Physics 2009-11-10 Mitsuru Honda

The relativistic quantum-mechanical description of a charged Laguerre-Gauss beam accelerated in a uniform electric field has been fulfilled. Stationary wave eigenfunctions are rigorously derived. The evolution of the beam parameters during…

Accelerator Physics · Physics 2025-06-24 Qi Meng , Ziqiang Huang , Xuan Liu , Wei Ma , Zhen Yang , Liang Lu , Alexander J. Silenko , Pengming Zhang , Liping Zou

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker

This report is a self-contained and comprehensive review of the physics of propagating pulses of high-intensity high-energy particle beams in pre-existing or self-generated plasmas. Consideration is given to beams of electrons, protons,…

Plasma Physics · Physics 2009-01-11 Andre Gsponer

We theoretically investigate the use of the intense transverse field created by a relativistic electron bunch to drive strong-field processes. Such bunches can be easily implemented from beam shaping in existing electron accelerators. We…

Accelerator Physics · Physics 2018-06-27 Siqi Li , Elio G. Champenois , James P. Cryan , Agostino Marinelli

Thermal Wave Model is used to study the strong self-consistent Plasma Wake Field interaction (transverse effects) between a strongly magnetized plasma and a relativistic electron/positron beam travelling along the external magnetic field,…

Plasma Physics · Physics 2011-08-05 Renato Fedele , Fatema Tanjia , Sergio De Nicola , P. K. Shukla , Dusan Jovanovic
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