2012
DOI: 10.1063/1.3684241
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Nonlinear analysis of the dielectric loaded rectangular Cerenkov maser

Abstract: To deeply investigate the nonlinear interaction between the sheet beam and the slow wave mode in the dielectric loaded rectangular Cerenkov maser, a third order differential equation of the field profile function is rigorously derived. By combining with the relativistic equation of motion and using the traveling-wave boundary condition, the nonlinear phenomena, which involve with the growth rate, the electron phase bunching, the saturated power and length, etc., can be predicted through numerical calculations.… Show more

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Cited by 4 publications
(11 citation statements)
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References 21 publications
(27 reference statements)
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“…Due to waveguiding, we can reduce the mode width below the value which can be achieved in the absence of waveguiding. The waveguided surface modes have been studied earlier for the undulator based FELs [25], Smith-Purcell FELs [26][27][28], and for the cylindrical [3,7,17], and rectangular [13,14] geometry of CFELs. In this paper, we have extended this approach for the single slab based open geometry of CFELs.…”
Section: Discussionmentioning
confidence: 99%
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“…Due to waveguiding, we can reduce the mode width below the value which can be achieved in the absence of waveguiding. The waveguided surface modes have been studied earlier for the undulator based FELs [25], Smith-Purcell FELs [26][27][28], and for the cylindrical [3,7,17], and rectangular [13,14] geometry of CFELs. In this paper, we have extended this approach for the single slab based open geometry of CFELs.…”
Section: Discussionmentioning
confidence: 99%
“…Ding et al [13,14] have developed a 3D approach similar to the given in Ref. [7] for the case of CFELs in the rectangular waveguide geometry; and also included the second and higher order variations of wave amplitude.…”
Section: Introductionmentioning
confidence: 99%
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“…The boundary conditions in Eq. (26) give no way of deducing η φI and η −1 zI in Eq. (15) as functions of cladding parameters and desired axial wavenumber k z (ω) only.…”
Section: Circular Conducting Waveguide With Dielectric-lined Wallmentioning
confidence: 99%
“…Among other applications, dielectric-loaded waveguides have found applications in gyro-devices including gyrotron [2][3][4], gyro-TWT [5][6][7][8][9][10][11][12][13], CARM [14] and others [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. The gyro-devices usually employ RF structures with small structural nonuniformities.…”
Section: Introductionmentioning
confidence: 99%