Surface waves in plasma-metal structures (review)

Azarenkov, N. A.; Kondratenko, A. N.; Ostrikov, Kostya Ken

doi:10.1007/bf01091426

Cited by 16 publications

(19 citation statements)

References 14 publications

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“…In this case the spatial derivatives a/ay and spatial phase shift k are not taken into account. In this case the solution of set (8) has been obtained under the following initial conditions U1,U;i -U l o U y i & l(Uj, = Uj(t = 0), j = 1,2,3), U j are the normalized SW amplitudes, corresponding to the realization of decay process w1 = w 2 + o3 and under the initial conditions U , , U~~ -Ul,U;k 4 1, corresponding to up-conversion process w2 + w3 = wl. These solutions are well known [21] and there is no need to present them here.…”

Section: Resultsmentioning

confidence: 98%

Nonlinear Interactions of the Surface Waves Propagating at the Plasma‐like Medium‐Metal Interface

Ostrikov

1995

Contrib. Plasma Phys.

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The nonlinear three-wave interactions of the surface waves (SW) which exist at the plasma-like medium-metal interface are considered. The studied SW are caused by collective phenomena in the plasma-like medium and propagate across an external magnetic field which is parallel to the interface. The wave coupling coefficients are obtained in the most general form and are expressed through the second order nonlinear susceptibilities. The simple case when the plasma-like medium allows a hydrodynamicdl description is considered as well. The conditions providing the most effective interaction between the waves are discussed and the analytical expressions describing the amplitude evolution of the SW under such interaction are given. The possibility of realization of a parametric generator based on the SW nonlinear interaction is discussed. The characteristic length of the nonlinear medium providing the effective interaction is estimated for several important cases.

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Section: Resultsmentioning

confidence: 98%

Nonlinear Interactions of the Surface Waves Propagating at the Plasma‐like Medium‐Metal Interface

Ostrikov

1995

Contrib. Plasma Phys.

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“…After some algebra it is not difficult to show that in the studied case the condition of the instability realization 1 -/ w is satisfied. The corresponding decay instabilty increment and the threshold value of the pump field amplitude can be written as follows (9) where The dependence of the normalized decay instability increment yDEC/w on the parameter o,/Q, is presented in Fig. 1 for several parameters of the studied plasma waveguide structure.…”

Section: A(r T ) = A(r) Exp [I(mcp Ot)]mentioning

confidence: 99%

Nonlinear interactions of azimuthal surface waves in a magnetoactive plasma waveguide

Ostrikov¹,

Osmayev²

1994

Contrib. Plasma Phys.

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Several possible three-wave and four-wave interactions, namely decay and modulational instabilities of a specific type of surface waves-azimuthal sufaces waves (ASW)-in a magnetoactive plasma waveguide are considered. The studied ASW propagate in the azimuthal direction at the cylindrical waveguide wall-plasma interface.Three-and'four-wave interactions in bounded plasma structures are of principal interest as possible nonlinear phenomena available for experimental observation [ 1 -51. The interest of such interactions is growing nowadays with the development of plasma electronics [6]. The solution of a number of applied problems in this area needs a detailed study of the dispersion and nonlinear properties of plasma waveguide structures. The electromagnetic field topography and the dispersion properties of a majority of possible volume-type and surface-type modes as well as several nonlinear wave interactions in plasma waveguide structures have been thoroughly investigated up till now. In a cylindrical plasma waveguide fully filled by a magnetoactive plasma, the existence of a specific type of surface waves-azimuthal surface waves-is possible [7]. The interest of these waves is due to possible application of ASW in plasma gyrotron structures [8]. This type of waves is considerably less studied up till now compared with other propagating modes of plasma waveguide. The ASW propagate in the azimuthal direction (i.e. across the external magnetic field, which is directed along the waveguide axis z ) at the plasma-metal cylinder interface. The dependence of all wave perturbations on the azimuthal angle cp and time t in the ASW field is expressed in the following formwhere m is the azimuthal wavenumber (i.e. the mode number), w is the ASW eigenfrequency, A represents the totality of plasma parameters (electromagnetic fields of ASW, plasma density, hydrodynamic velocities). The existence of these waves in a cold magnetoactive plasma is possible in the frequency ranges ol < o < o, and oll > o > oh, where w, is the electron cyclotron and w , ,~ are the lower hybrid and upper-hybrid frequencies, respectively,In both frequency ranges of existence the character of these waves propagation is nonreciprocal. In the first frequency range the ASW may propagate only with m > 0, and the second one provides ASW propagation only with m < 0. The linear theory of the ASW is developed in papers [7-91, the paper [lo] presents the results associated with the

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“…Specific of the EASWs at the plasma-metal interface is their property of propagation in only one direction. Such a phenomenon is known for surface waves propagating across an external magnetic field in waveguide structures with Foigt geometry [9][10][11]. When such waves are excited, a reflected signal is present in the system, which is very useful in a number of radiotechnical facilities.…”

Section: Introductionmentioning

confidence: 99%

Propagation of azimuthal waves along the surface of a metal current-carrying cylinder immersed into a magnetized plasma

Girka

Гірка

et al. 2008

Radiophys Quantum El

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533.951It is shown that a metal current-carrying cylinder immersed into a cold magnetized plasma is a waveguide structure, in which coupled bulk ordinarily polarized and surface extraordinarily polarized waves can propagate along the azimuthal direction. Their interaction, stipulated by the fact that besides the longitudinal component, the external magnetic field has also a weak azimuthal component, is studied. Analytical expressions for the corrections to the eigenfrequency of these waves, stipulated by the effect of a constant azimuthal magnetic field, are obtained for the case of a uniform plasma density.

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Surface waves in plasma-metal structures (review)

Cited by 16 publications

References 14 publications

Nonlinear Interactions of the Surface Waves Propagating at the Plasma‐like Medium‐Metal Interface

Nonlinear Interactions of the Surface Waves Propagating at the Plasma‐like Medium‐Metal Interface

Nonlinear interactions of azimuthal surface waves in a magnetoactive plasma waveguide

Propagation of azimuthal waves along the surface of a metal current-carrying cylinder immersed into a magnetized plasma

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