Properties of plasma waves defined by the dispersion relation

Lonngren, Karl E.; Hsuan, H.; Landt, D. L.; Burde, C. M.; Joyce, G.; Alexeff, I.; Jones, W. D.; Doucet, Henri; Hirose, Akira; Ikezi, H.; Aksornkitti, S.; Widner, M. M.; Estabrook, K. G.

doi:10.1109/tps.1974.6593738

Cited by 19 publications

(2 citation statements)

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“…The linear dispersion law and the power flow are the two basic wave characteristics (Appendix A) determined from the linear theory that are important for nonlinear wave formation and propagation. The SW dispersion relation (A 1), giving phase and group velocities (A 5) that are decreasing functions of the wavenumber k, is usually classified (Lonngren et al 1974) together with those of ion-acoustic waves and the Trivelpiece-Gould mode. Independently of this similarity, different types of nonlinear waves are considered to appear for these modes.…”

Section: Comments On Theoretical Resultsmentioning

confidence: 99%

Experiments on the nonlinear evolution of surface waves in an open plasma waveguide

1991

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The nonlinear behaviour of surface waves propagating along a plasma column is investigated. The experiments include (i) measurements of the nonlinear dispersion of the waves and (ii) observation of the evolution of the shape of the wave envelope and of the wave spectrum when the waves are excited with an amplitude-modulated signal. Comparison with theory shows that (i) the measured nonlinear wavelength shift corresponds to increasing wave phase velocity with increasing wave amplitude, (ii) the observed narrowing of the wave envelope can be associated with the formation of periodic nonlinear waves described by dn Jacobi elliptic function solutions of the nonlinear Schrödinger equation and (iii) the observed strong changes of the wave spectrum are mainly related to a nonlinear effect of phase modulation.

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Section: Comments On Theoretical Resultsmentioning

confidence: 99%

Experiments on the nonlinear evolution of surface waves in an open plasma waveguide

1991

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“…In the latter case, we would expect that the sheaths would affect the launching of the electromagnetic wave. Guided by our earlier studies of the excitation [7], the radiation [8], and the propagation [9] of the longitudinal ion acoustic wave, we find that it is possible to analytically predict the sheath structure in certain time scales after a voltage is suddenly applied to the antenna.…”

Section: Introductionmentioning

confidence: 96%

Antenna sheaths in a dusty plasma

Lonngren

1991

Micro & Optical Tech Letters

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The region of charge nonneutrality surrounding a metal antenna that is inserted in an infinite homogeneous plasma is called a plasma sheath. Sheaths form in several time scales that are determined by the electron and the ion plasma periods until an eventual steady‐state Langmuir sheath forms. This article describes the sheaths surrounding an antenna in a dusty plasma consisting of electrons, ions, and heavy dust particles to which electrons have attached themselves. Such a plasma is found in active comets and in the rings surrounding several planets in the solar system and in rings around mature stars.

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Trivelpiece‐Gould‐Modes in an Axial Inhomogeneous Plasma

Prinzler¹,

Heymann²

1978

Contrib Plasma Phys

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SuiiiiiiaryExperiments on the propagntion of TG-modes in II weiikly inhomogeneous plasma are reported.The modes travel from the high density part (w < up#) to that of lower density (w > (I+). The wnvelength decreases ns expected but an incre;ine of t.he longitudinal fieldstrength predicted by collisionless theory could not be observed. Two nonlineur effects appear one after another with increasing n a v e amplitude. These are the sideband instability and a decay into the drift frequency riinge occuring in the whole plasma column. Neither the region (0 ' 1 : wPe nor the very vicinity of the exciter antenna are distinguished. The second inst;ibility is wcomponied by effective electron heating.

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Properties of plasma waves defined by the dispersion relation

Cited by 19 publications

References 0 publications

Experiments on the nonlinear evolution of surface waves in an open plasma waveguide

Experiments on the nonlinear evolution of surface waves in an open plasma waveguide

Antenna sheaths in a dusty plasma

Trivelpiece‐Gould‐Modes in an Axial Inhomogeneous Plasma

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