Twodimensional dusty plasma crystal as an electrostatic wiggler for freeelectron laser
Abstract
The ability of a dusty plasma crystal to induce transverse motion to a relativistic electron, as a microstructure wiggler field in a freeelectron laser (FEL), is presented. A dusty crystal wiggler with micrometer size can decrease FEL wavelength several orders of magnitudes. A relativistic electron dynamic through a twodimensional monolayer hexagonal dusty crystal is analyzed. In addition to the usual transverse wiggling motion, secondharmonic amplitude is induced to the axial velocity. These conditions are compared with a magnetostatic planar wiggler, and it is shown that E{sub 0x}/V{sub parallel0} in dusty crystal has a role of B{sub w} in a magnetostatic wiggler. The strength of this proposed wiggler can be increased by decreasing d, decreasing d/{lambda}{sub D} ratio, or increasing q{sub d} in different experimental setups.
 Authors:
 Department of Physics, Faculty of Basic Science, Mazandaran University, Babolsar (Iran, Islamic Republic of)
 Publication Date:
 OSTI Identifier:
 20974940
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 4; Other Information: DOI: 10.1063/1.2717892; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; BEAMPLASMA SYSTEMS; CRYSTALS; ELECTRON BEAMS; ELECTRONS; FREE ELECTRON LASERS; MICROSTRUCTURE; PLASMA; RELATIVISTIC RANGE; TWODIMENSIONAL CALCULATIONS; WAVELENGTHS
Citation Formats
Mirzanejhad, Saeed, and Bahadory, Behnam. Twodimensional dusty plasma crystal as an electrostatic wiggler for freeelectron laser. United States: N. p., 2007.
Web. doi:10.1063/1.2717892.
Mirzanejhad, Saeed, & Bahadory, Behnam. Twodimensional dusty plasma crystal as an electrostatic wiggler for freeelectron laser. United States. doi:10.1063/1.2717892.
Mirzanejhad, Saeed, and Bahadory, Behnam. Sun .
"Twodimensional dusty plasma crystal as an electrostatic wiggler for freeelectron laser". United States.
doi:10.1063/1.2717892.
@article{osti_20974940,
title = {Twodimensional dusty plasma crystal as an electrostatic wiggler for freeelectron laser},
author = {Mirzanejhad, Saeed and Bahadory, Behnam},
abstractNote = {The ability of a dusty plasma crystal to induce transverse motion to a relativistic electron, as a microstructure wiggler field in a freeelectron laser (FEL), is presented. A dusty crystal wiggler with micrometer size can decrease FEL wavelength several orders of magnitudes. A relativistic electron dynamic through a twodimensional monolayer hexagonal dusty crystal is analyzed. In addition to the usual transverse wiggling motion, secondharmonic amplitude is induced to the axial velocity. These conditions are compared with a magnetostatic planar wiggler, and it is shown that E{sub 0x}/V{sub parallel0} in dusty crystal has a role of B{sub w} in a magnetostatic wiggler. The strength of this proposed wiggler can be increased by decreasing d, decreasing d/{lambda}{sub D} ratio, or increasing q{sub d} in different experimental setups.},
doi = {10.1063/1.2717892},
journal = {Physics of Plasmas},
number = 4,
volume = 14,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}

The system of the nonlinear nonstationary equations describing spatialtemporal dynamics of the amplitudes of an undulator radiation and a space charge wave of a relativistic electron beam in the resonator is obtained. The electrostatic longitudinal wiggler is considered. A bunch of the electron beam injects to the resonator, at the ends of which two mirrors are placed. After the interaction of electrons of bunch with radiation in the presence of wiggler and after amplifying electromagnetic pulse, a part of radiation is reflected back by semitransparent mirror. Then, it reaches to the initial of the system where the other mirror ismore »

Freeelectron laser with electrostatic wiggler
A new freeelectron laser (FEL) scheme, using a periodic electrostatic field superposed on an electrostatic centrifugal system, is presented. By means of linear fluid theory, the Raman FEL dispersion equation is derived. We show that there is a new FEL instability near the electron transverse resonance besides the usual one near the beam resonance. The operating conditions, emission frequencies, and maximum growth rates of these two kinds of instabilities are obtained analytically. It is found that these results are in quite good agreement with numerical solutions of the dispersion equation. 
Threshold conditions for lasing of a free electron laser oscillator with longitudinal electrostatic wiggler
The system of the nonlinear nonstationary equations describing spatialtemporal dynamics of the amplitudes of an ondulator radiation and a spacecharge wave of a relativistic electron beam in the resonator is obtained. A free electron laser resonator with longitudinal electrostatic wiggler is considered. In the linear approximation, the threshold conditions of lasing for Raman and Compton regimes under excitation of forward and backward electromagnetic wave are achieved. In the various physical situations, the variation of the minimum length of the resonator with the amplitude of wiggler, density of electron beam, and with the reflection coefficients of resonator's mirrors is investigated. 
Electron orbit in a combined plasma wave wiggler and an axial guide magnetic field free electron laser near magnetoresonance
The nonlinear electron orbit dynamics is presented for a combined electrostatic plasma wave wiggler and an axial guide magnetic field free electron laser near magnetoresonance. The perpendicular orbit equation is derived and simplified identical to the wavedriven nonlinear oscillator equation but with different expressions of parameters. The nonlinear effect induced by the inclusion of [beta][sup 2][sub [perpendicular]] [much lt] [beta][sup 2][sub [parallel]], where [gamma] = (1 [minus] [beta][sup 2][sub [perpendicular]] [minus] [beta][sup 2][sub [parallel]]) [minus] [sup 1/2]. The dependence of the maximum perpendicular wiggling velocity and the orbit excursion on the wiggler constant, the wiggler frequency, and the initial parametersmore » 
Three dimensional gain analysis of free electron laser with focusing permanent magnetic wiggler
A three dimensional simulation software system developed to estimate a free electron laser (FEL) gain has been applied to FEL using a standard plane polarized wiggler and an alternately shifted magnet wiggler. It is seen for the latter wiggler that a large filling factor could be selected and each maximum gain corresponding to each orbit of electron beam concentrates at a certain frequency region of FEL radiation. It is, therefore, implied that a proper shift between the adjacent magnets in the wiggler produces the improvement of the FEL gain.