Effect of the shape of the cross section of a plasma-dielectric interface on the dispersion properties of azimuthal surface modes

Girka, Oleksii; Girka, V. O.; Гірка, І. О.; Pavlenko, I. V.

doi:10.1134/s1063780x0702002x

Cited by 7 publications

(9 citation statements)

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“…5 are calculated for a smaller thickness of dielectric layer, Δ = 0.1. Influence of dielectric layer thickness on the behavior of curves representing the dependence of the frequency correc tion on k eff appears to be un essential, unlike the case of LF ASWs [14], for which Δω 1 ∝ Δ -2 with high accu racy. Note also, that the smaller parameter is, then the smaller is the value of k eff at which infinite increase of the frequency correction Δω 1 starts (compare with the Fig.…”

Section: Investigation Of the Dispersion Properties Of Aswsmentioning

confidence: 92%

“…As it was shown in [14] for the case of LF ASW, separate terms of Fourier series (1) introduce (with a high degree of accuracy) independent of other terms (with other values of the index n) contribution to the expres sion for the correction to the frequency of the studied modes and expressions for their fields. This conclusion is found to be valid for the HF ASW.…”

Section: ( )mentioning

confidence: 95%

“…Note, that the deviation of the cross section of the plasma-dielectric interface from a circular shape causes decrease of the eigenfrequency for LF ASWs with negative mode numbers (except of the mode m = -1, if it propagates in wide waveguides (k eff Ӷ 1)) [14]. Thus cylindrical metal waveguide with non circular plasma-dielectric interface is a delaying structure for such waves.…”

Section: Investigation Of the Dispersion Properties Of Aswsmentioning

confidence: 98%

“…In the Appendix, we write out the formulas describing the wave field spatial distribu tion in the waveguide structure under consideration, the expressions for the amplitudes of the satellite har monics of ASWs, and the dispersion relation for ASWs with accuracy up to the terms of the second order of smallness over the small parameter of the problem. In this paper, the procedure for deriving these formulas and expressions is described briefly since it is formally identical to that used earlier to study the influence of the shape of the plasma-dielectric interface on the dispersion properties of LF ASWs (see [14], where it is described in detail).…”

Section: Influence Of the Shape Of The Cross Section Of A Plasma-dielmentioning

confidence: 98%

“…We derive the dispersion relation for the HF ASW and analytical expressions for the field harmonics of these waves with the help of expressions (8) and (9) for nonlinear (in the respect of corrugation parameter) boundary conditions just as it was done in [14].…”

Section: ( )mentioning

confidence: 99%

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Influence of the shape of the cross section of a plasma-dielectric interface on the dispersion properties of high-frequency azimuthal surface modes

2012

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Theoretical study of the propagation of a packet of surface electromagnetic surface waves with a zero axial wavenumber in a circular cross section cylindrical metal waveguide within the frequency range that is higher than upper hybrid resonance is carried out. The waveguide is partially filled by plasma and immersed into axial magnetic field. The cross section of the plasma column is assumed to differ from circular shape. The effect of this shape on the dispersion properties of azimuthal surface modes is investigated by the method of successive approximations. The fields of the waves and their eigenfrequencies are determined up to terms of the second order in the deviation of the plasma cross section shape from the ring one. The correc tion to the eigenfrequency of azimuthal surface modes caused by this feature of the plasma column section is proved to increase with decreasing the external magnetic field and increasing the value of the dielectric con stant of the dielectric, that separates the plasma from the metal wall of the waveguide. The spectral composi tion of the wave packet, in the form of which these modes propagate, is studied. The amplitudes of the satellite harmonics of these modes are found to increase with increasing the plasma density and decreasing the exter nal magnetic field.

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Section: Investigation Of the Dispersion Properties Of Aswsmentioning

confidence: 92%

Section: ( )mentioning

confidence: 95%

Section: Investigation Of the Dispersion Properties Of Aswsmentioning

confidence: 98%

Section: Influence Of the Shape Of The Cross Section Of A Plasma-dielmentioning

confidence: 98%

Section: ( )mentioning

confidence: 99%

See 3 more Smart Citations