Linear analysis of a three-dimensional rectangular Cerenkov maser with a sheet electron beam

Chen, Ye; Zhao, Ding; Wang, Yong

doi:10.1088/1674-1056/20/10/108402

Cited by 6 publications

(4 citation statements)

References 20 publications

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“…where b n ¼ b 0 þ 2pn=L is the propagation coefficient in z-direction, n ¼ 0; 61; 62 Á Á Áv l is the relative dielectric constant of electron beam, 22 …”

Section: Dispersion Equation Of Grating With Arbitrary Groovesmentioning

confidence: 99%

Dispersion characteristics of planar grating with arbitrary grooves for terahertz Smith-Purcell radiation

et al. 2015

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In this paper, a novel method of getting the dispersion relations in planar grating with arbitrary grooves for terahertz Smith-Purcell radiation is investigated analytically. The continuous profile of the groove is approximately replaced by a series of rectangular steps. By making use of field matches method and the continuity of transverse admittance, the universal dispersion equation for grating with arbitrarily shaped grooves is derived. By solving the dispersion equation in presence of electron beam, the growth rate is obtained directly and the dependence on beam parameters is analyzed. Comparisons of the dispersion characteristics among some special groove shapes have been made by numerical calculation. The results show that the rectangular-step approximation method provides a novel approach to obtain the universal dispersion relation for grating with arbitrary grooves for Smith-Purcell radiation.

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“…where b n ¼ b 0 þ 2pn=L is the propagation coefficient in z-direction, n ¼ 0; 61; 62 Á Á Áv l is the relative dielectric constant of electron beam, 22 …”

Section: Dispersion Equation Of Grating With Arbitrary Groovesmentioning

confidence: 99%

Dispersion characteristics of planar grating with arbitrary grooves for terahertz Smith-Purcell radiation

et al. 2015

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“…So in this structure, the mixed mode can be simply expressed as the transverse electric mode TE y . 15 In this case, the electric and magnetic field components can both exist in z direction. 3 From Ref.…”

Section: D Theory Of Smith-purcell Radiationmentioning

confidence: 99%

Three-dimensional theory of Smith-Purcell free-electron laser with dielectric loaded grating

Cao

Liu

Wang

et al. 2014

Journal of Applied Physics

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A dielectric loaded rectangular grating for Smith-Purcell devices is proposed in this paper. Regarding the electron beam as a moving plasma dielectric, a three dimensional (3D) linear theory of beam-wave interaction is developed. The first and second order growth rates are calculated, which are obtained by expanding hot dispersion equation at synchronous point. The results show that the cutoff frequency is affected by grating width. The dispersion curve becomes flatter and shifts towards lower frequency by loading dielectric in grooves. The simulation results, which are obtained by a 3D particle-in-cell code, are in good agreement with theoretical calculations. Compared the first and second order growth rate, it shows that the discrepancy is large when beam parameters are selected with high values. In this case, it is necessary to apply the second order growth rate, which can accurately describe the process of beam-wave interaction.

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“…[19] For a real dielectric loaded rectangular waveguide with a sheet beam, an approximate dispersion relation to describe the three-dimensional beam-wave interaction has also been obtained. [11,20] The linear theory can accurately predict the linear growth rate, bandwidth, initial power gain, and other small signal characteristics in the interaction process.…”

Section: Introductionmentioning

confidence: 99%

Simplified nonlinear theory of the dielectric loaded rectangular Cerenkov maser

Zhao¹,

Ding²

2012

Chinese Phys. B

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To rapidly and accurately investigate the performance of the dielectric loaded rectangular Cerenkov maser, a simplified nonlinear theory is proposed, in which the variations of wave amplitude and wave phase are determined by two coupled first-order differential equations. Through combining with the relativistic equation of motion and adopting the forward wave assumption, the evolutions of the forward wave power, the power growth rate, the axial wave number, the accumulated phase offset, and the information of the particle movement can be obtained in a single-pass calculation. For an illustrative example, this method is used to study the influences of the beam current, the gap distance between the beam and the dielectric surface, and the momentum spread on the forward wave. The variations of the saturated power and the saturation length with the working frequency for the beams with different momentum spreads have also been studied. The result shows that the beam—wave interaction is very sensitive to the electron beam state. To further verify this simplified theory, a comparison with the result produced from a rigorous method is also provided, we find that the evolution curves of the forward wave power predicted by the two methods exhibit excellent agreement. In practical applications, the developed theory can be used for the design and analysis of the rectangular Cerenkov maser.

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Linear analysis of a three-dimensional rectangular Cerenkov maser with a sheet electron beam

Abstract: Linear analysis of a three-dimensional rectangularCerenkov maser with a sheet electron beam * Chen Ye( ) a)b) † , Zhao Ding( ) a) , and Wang Yong( ) a)

Cited by 6 publications

References 20 publications

Dispersion characteristics of planar grating with arbitrary grooves for terahertz Smith-Purcell radiation

Dispersion characteristics of planar grating with arbitrary grooves for terahertz Smith-Purcell radiation

Three-dimensional theory of Smith-Purcell free-electron laser with dielectric loaded grating

Simplified nonlinear theory of the dielectric loaded rectangular Cerenkov maser

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