3D Analysis of Wake Field Excitation in a Dielectric Loaded Rectangular Resonator

2006 ◽  
Author(s):  
Gennadij V. Sotnikov ◽  
Ivan N. Onishchenko ◽  
Thomas C. Marshall
Keyword(s):  
3D Analysis ◽  
Wake Field ◽  
Field Excitation

scholarly journals Plasma wake-field excitation by relativistic electron bunches and charged particle acceleration in the presence of external magnetic field

2001 ◽  
Vol 19 (4) ◽  
pp. 597-604 ◽  
Author(s):  
V.A. BALAKIREV ◽  
V.I. KARAS' ◽  
I.V. KARAS' ◽  
V.D. LEVCHENKO
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Magnetoactive Plasma ◽  
High Amplitude ◽  
Plasma Dynamics ◽  
Wake Field ◽  
Electron Bunches ◽  
Plasma Bunch ◽  
Field Excitation ◽  
Wake Fields

High-amplitude plasma wake waves are excited by high-density relativistic electron bunches (REB) moving in a plasma. The wake-fields can be used to accelerate charged particles, to serve as electrostatic wigglers in plasma free-electron lasers (FEL), and also can find many other applications. The electromagnetic fields in the region occupied by the bunch control the dynamics of the bunch itself. This paper presents the results of 2.5-dimensional numerical simulation of the modulation of a long REB in a plasma, the excitation of wake-fields by bunches in a plasma, in particular, in magnetoactive plasma. The previous one-dimensional study has shown that the density-profile modulation of a long bunch moving in plasma results in the growth of the coherent wake-wave amplitude. The bunch modulation occurs at the plasma frequency. The present study is concerned with the REB motion, taking into account the plasma and REB nonlinearities. It is demonstrated that the nonlinear REB/plasma dynamics exerts primary effect on both the REB self-modulation and the wake-field excitation by the bunches formed. We have demonstrated that a multiple excess of the accelerated bunch energy εmax over the energy of the exciting REB is possible in a magnetoactive plasma for a certain relationship between the parameters of the “plasma–bunch–magnetic field” system (owing to a hybrid volume–surface character of REB-excited wake-fields).

The plasma wake field excitation: Recent developments from thermal to quantum regime

2013 ◽  
Vol 79 (6) ◽  
pp. 1095-1098
Author(s):  
RENATO FEDELE ◽  
FATEMA TANJIA ◽  
SERGIO DE NICOLA ◽  
DUŠAN JOVANOVIĆ
Keyword(s):  
Nonlinear Differential Equations ◽  
Wave Model ◽  
Positron Beam ◽  
Thermal Emittance ◽  
Wake Field ◽  
Complex Wave ◽  
Recent Developments ◽  
Field Excitation ◽  
Unmagnetized Plasma ◽  
Original Approach

AbstractTo describe the transverse nonlinear and collective self-consistent interaction of a long relativistic electron or positron beam with an unmagnetized plasma, a pair of coupled nonlinear differential equations were proposed by Fedele and Shukla in 1992 (Fedele, R. and Shukla, P. K. 1992a Phys. Rev. A 45, 4045). They were obtained within the quantum-like description provided by the thermal wave model and the theory of plasma wake field excitation. The pair of equations comprises a 2D Schrödinger-like equation for a complex wave function (whose squared modulus is proportional to beam density) and a Poisson-like equation for the plasma wake potential. The dispersion coefficient of the Schrödinger-like equation is proportional to the beam thermal emittance. More recently, Fedele–Shukla equations have been further applied to magnetized plasmas, and solutions were found in the form of nonlinear vortex states and ring solitons. They have been also applied to plasma focusing problems and extended from thermal to quantum regimes. We present here a review of the original approach, and subsequent developments.

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