Two-dimensional dusty plasma crystal as an electrostatic wiggler for free-electron laser

Mirzanejhad, Saeed; Bahadory, Behnam

doi:10.1063/1.2717892

Cited by 11 publications

(10 citation statements)

References 26 publications

(21 reference statements)

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“…which is performed by a coaxial structure: the outside surface of the inner rod is smooth and grounded; the inside surface of the outer conductor is connected to a negative voltage and corrugated with sinusoidal ripples. * sczhang@home.swjtu.edu.cn Recently, a two-dimensional dusty plasma crystal [12] or a planar electrostatic system [13] was proposed as an electrostatic wiggler for FEL. Excluding the space-charge wave in the aforementioned three-wave interaction mechanism, it is found that a planar electrostatic wiggler [13] may be favorable for a mildly relativistic electron beam to generate terahertz waves by extracting the kinetic energy of the electrons [14].…”

Section: Fig 1 Schematic Diagram Of a Coaxial Electrostatic Wigglermentioning

confidence: 99%

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Field distribution in a coaxial electrostatic wiggler

Zhang

2010

Phys. Rev. ST Accel. Beams

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The field distribution in a coaxial electrostatic wiggler corresponds to the special solution of a Laplace equation in a cylindrical coordinate system with a boundary value problem of sinusoidal ripples. This paper is devoted to the physical and mathematical treatment for an analytical solution of the field distribution in the coaxial electrostatic wiggler. The explicit expression of the solution indicates that the field distribution in the coaxial electrostatic wiggler varies according to a periodic function in the longitudinal direction, and is related to the first and second kinds of modified Bessel functions in the radial direction, respectively. Comparison shows excellent agreement between the analytical formula and the computer simulation technology (CST) results. The physical application of the considered system and its analytical solution are discussed.

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Section: Fig 1 Schematic Diagram Of a Coaxial Electrostatic Wigglermentioning

confidence: 99%

“…Superposing the solutions for both ¼ 0 and for ¼ q 2 > 0, Eqs. (12) and (22), we obtain the general solution of Eq. (2):…”

Section: Derivation Of General Solutionmentioning

confidence: 99%

Field distribution in a coaxial electrostatic wiggler

Zhang

2010

Phys. Rev. ST Accel. Beams

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“…Microstructure electrostatic wigglers is a new possible application of complex plasma crystals. It is suggested by Mirzanejhad and Bahadory [12]. Electrostatic wigglers can transfer energy to relativistic electron beam in FELs.…”

Section: Introductionmentioning

confidence: 99%

“…In the microstructure electrostatic wiggler, charge and consequentially potential and electric field of individual grains are important [12]. Average grain charge has been already reported, but there are no experimental measurements of individual grains charge.…”

Section: Introductionmentioning

confidence: 99%

Electric field in two-dimensional complex plasma crystal: Ideal lattices

Bahadory

Mohazabyeh

2019

Acta Phys. Pol. A

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Two-dimensional complex plasma crystal is a suspended single-layer of micron-size grains in a plasma. The narrow and long two-row crystals are likely to be used as electrostatic wigglers. Therefore, electric properties of such system is studied in the present work. The frequency of longitudinal electric field is twice the frequency of transverse electric field. In two-row crystals, far from the crystal center, both longitudinal and transverse electric fields decrease continuously. Frequency of longitudinal field decreases also, but the frequency of transverse field is fix. By increasing distance between the crystal rows, the frequency of transverse field does not change but the frequency of longitudinal field decreases. Value of both fields decrease while their ratio increases. By increasing longitudinal distance between the grains, the frequency of transverse field does not change but the frequency of longitudinal field increases until become twice the frequency of transverse field, and both electric fields increase while their ratio decreases. These results may be useful in various fields of physics.

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“…Recently, the ability of dusty plasma crystals to create transverse motion of the relativistic electrons and to use as an electrostatic wiggler has been proposed. [5][6][7] Many theoretical investigations for a FEL with longitudinal electrostatic wiggler have been done. A study of Bekefi,8 in such a FEL with completely filled waveguide and infinite axial magnetic field, showed that this system can be useful to produce millimeter wavelength radiation.…”

Section: Introductionmentioning

confidence: 99%

Free electron laser with bunched relativistic electron beam and electrostatic longitudinal wiggler

Javan

2010

Physics of Plasmas

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The system of the nonlinear nonstationary equations describing spatial-temporal 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 is placed. Synchronously, when the pulse is reflecting, the other electron bunch enters to the resonator and interacts with the pulse. This operation has simulated until saturation of growth of the electromagnetic pulse. The dynamics of the problem is simulated by the method of macro particles. The dynamics of pulse amplification, motion of the electrons, and spectra of output radiation in each stage are simulated.

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Two-dimensional dusty plasma crystal as an electrostatic wiggler for free-electron laser

Cited by 11 publications

References 26 publications

Field distribution in a coaxial electrostatic wiggler

Field distribution in a coaxial electrostatic wiggler

Electric field in two-dimensional complex plasma crystal: Ideal lattices

Free electron laser with bunched relativistic electron beam and electrostatic longitudinal wiggler

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