The dispersion equation of the induced Smith–Purcell instability

Klochkov, D. N.; Artemyev, A.I.; Oganesyan, K. B.; Rostovtsev, Yuri V.; Scully, Marlan O.; Hu, Chin‐Kun

doi:10.1088/0031-8949/2010/t140/014049

Cited by 7 publications

(4 citation statements)

References 10 publications

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“…Then, D. Li et al performed simulation and confirmed the theory of Andrews and coworkers about the mechanism of superradiation, which happens at integer multiples of the bunching frequency [9]. In addition, the growth rate of SP-FEL was considered by D. N. Klochkov et al and found to be proportional to the square root of the sheet electron beam current [10].…”

Section: Introductionmentioning

confidence: 73%

Theory of terahertz Smith-Purcell radiation from a cylindrical grating

Rezaei

Farokhi

2019

Pap. Phys.

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An analysis of an annular electron beam propagating along a cylindrical grating with external magnetic field Bo is presented. The grating comprises a dielectric in its slots. The dispersion relation of the modes is derived. The results demonstrate that the dielectric shifts the frequencies of the system modes to smaller values. The growth rates of the modes which are in phase with the beam are also considered. It is found that the decline in the growth rate is brought about by the dielectric. In addition, increasing the thickness of the dielectric and decreasing the height of the slots cause it to rise. The effect of beam thickness on growth rate is considered too. This is shown to increase and then fall as beam thickness increases. These results show that utilizing cylindrical grating loaded with dielectric has a promising effect on developing new kinds of compact high-efficient THz free-electron lasers based on Smith–Purcell radiation. Edited by: A. B. Márquez

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Section: Introductionmentioning

confidence: 73%

Theory of terahertz Smith-Purcell radiation from a cylindrical grating

Rezaei

Farokhi

2019

Pap. Phys.

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“…Therefore, making a stack with such thin plates and vacuum within them will be very difficult. On the other hand, such a situation can be realized when a charged particle slides over a rough metallic surface [23][24][25][26][27]. In this case, the randomly located hills and valleys will serve as plates and vacuum spacing between them, respectively.…”

Section: Resultsmentioning

confidence: 99%

Diffusive radiation in the infrared region

Gevorkian

Oganesyan

2016

Laser Phys. Lett.

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Diffusive radiation generated when a charged particle crosses a disordered stack of plates in the infrared region is considered. The main mechanism causing radiation is multiple scattering of electromagnetic field that is more effective in a medium with near to zero average dielectric permittivity. To obtain such a system we suggest using a stack of plates with a negative dielectric constant that, with a positive vacuum value, makes the average dielectric constant near to zero. Numerical estimates for realistic systems are presented.

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“…Their calculations show that the gain of this radiation has cube root dependence on the beam current [17]. Besides, the growth rate of SP-FEL considered by Klochkov et al [18] is proportional to the square root of the sheet electron beam current. Bluem et al [19] worked on a cylindrical grating exposed by an annular beam.…”

Section: Introductionmentioning

confidence: 96%

Start current and growth rate in Smith–Purcell free-electron laser with dielectric-loaded cylindrical grating

Rezaei

Farokhi

2019

J Theor Appl Phys

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We present an analytic theory for Smith-Purcell device in which a cylindrical metal-dielectric grating was derived by an annular electron beam propagating along the grating axis. A dispersion relation is obtained for azimuthally symmetric modes. Also, the first-order and second-order growth rates of the modes which are in phase with the beam are compared. It is shown that the second-order growth rate gives a more accurate description of beam-wave interaction for beams with larger thicknesses, as well as grating slots, with smaller depths and greater lengths. The start current for BWO operation of the SP-FEL is presented too. The importance of the minimum value of start current is that above it, the SP-FEL will operate as an oscillator, even in the absence of external feedback. In this case, the group velocity of the synchronous evanescent wave is negative, while the electron beam travels in the forward direction. It is shown in this paper that the dielectric and grating parameters affect the value of start current. So, by changing these parameters, the minimum value for the start current can be obtained.

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The dispersion equation of the induced Smith–Purcell instability

Cited by 7 publications

References 10 publications

Theory of terahertz Smith-Purcell radiation from a cylindrical grating

Theory of terahertz Smith-Purcell radiation from a cylindrical grating

Diffusive radiation in the infrared region

Start current and growth rate in Smith–Purcell free-electron laser with dielectric-loaded cylindrical grating

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