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

Cao, Miaomiao; Liu, Wenxin; Wang, Yong; Li, Ke

doi:10.1063/1.4894706

Cited by 24 publications

(11 citation statements)

References 20 publications

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“…In order to calculate Eq. (25), N (m,1) must be solved at first. From the boundary condition E z,K,4 j x ¼ Àh ¼ 0 at x ¼ Àh, we obtain the initial condition N ðm;KÞ ¼ Q m;K =D m;K ¼ ÀF 0 ðÀhÞ=G 0 ðÀhÞ:…”

Section: B the Field Distribution In Groovesmentioning

confidence: 99%

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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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Section: B the Field Distribution In Groovesmentioning

confidence: 99%

“…It was demonstrated to be accurate when notch width d is much smaller than vacuum wavelength for the fundamental mode. 25 Parameters of THz SP grating are…”

Section: Numerical Analysismentioning

confidence: 99%

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

et al. 2015

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“…Smith-Purcell radiation (SPR) [6] mechanism is based on excitation of "surface eigenwaves" [7,8] above a metallic gratings. This phenomenon is considered to be one of the most interesting methods of generating sub-millimetre waves mainly in THz realm [9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Smith-Purcell Based Terahertz Frequency Multiplier: Three Dimensional Analysis

Tavousi

Rostami

et al. 2016

Springer Proceedings in Physics

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In this paper, we numerically investigate on a three dimensional Smith-Purcell (SP) based terahertz frequency multiplier. Frequency multiplication procedure is proposed via learning of spontaneous SP radiation. At low frequency regions, texturing the metallic surfaces would manipulate the spoof surface plasmons (SSPs). Due to electronically exciting of these SSPs in a one-dimensionally extended metallic grating, a strong electron-plasmon momentum coupling develops and electron bunches arise. The evanescent wave releases from both ends of the structure. At the frequency harmonics of these SSPs, an umklapp process redshifts the SSP momentum beyond the light zone and the SP radiation is generated in the span of 0.466-1.1 THz and detected with a maximum peak around 90°(with respect to the grating). The SP radiation center frequency is *0.65 THz. Three dimensional particle-in-cell (PIC) simulations have been performed via finite integral method and the obtained results completely agree with analytic ones.

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“…It is essentially different from the ordinary SPR, in which the electron beam principally interacts with the surface wave. 18,19 Here we will show that when the SPPs are taken into consideration for a nano-grating, both the dispersion and radiation properties of the grating will be changed.…”

Section: Dispersion Relations and Radiation Propertiesmentioning

confidence: 99%

“…[10][11][12][13][14][15][16] The metallic rectangular gratings are commonly used to get the SPR in these applications. 17,18 The representative characteristic of the SPR is its famous dispersion relation:…”

Section: Introductionmentioning

confidence: 99%

Investigation on the special Smith-Purcell radiation from a nano-scale rectangular metallic grating

Liu

Jia

2016

AIP Advances

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The special Smith-Purcell radiation (S-SPR), which is from the radiating eigen modes of a grating, has remarkable higher intensity than the ordinary Smith-Purcell radiation. Yet in previous studies, the gratings were treated as perfect conductor without considering the surface plasmon polaritons (SPPs) which are of significance for the nano-scale gratings especially in the optical region. In present paper, the rigorous theoretical investigations on the S-SPR from a nano-grating with SPPs taken into consideration are carried out. The dispersion relations and radiation characteristics are obtained, and the results are verified by simulations. According to the analyses, the tunable light radiation can be achieved by the S-SPR from a nano-grating, which offers a new prospect for developing the nano-scale light sources.

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

Cited by 24 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

Smith-Purcell Based Terahertz Frequency Multiplier: Three Dimensional Analysis

Investigation on the special Smith-Purcell radiation from a nano-scale rectangular metallic grating

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