Dispersion relation for space-charge waves in a warm plasma-filled elliptical waveguide in an infinite axial magnetic field

An approximate theory is developed of the breakdown characteristics of a coaxial diode in an axial magnetic field, taking into account the effects of elastic collisions. It is assumed that the electron moves in a constant electric field between collisions and thus the theory is valid only in the appropriate range of magnetic field and voltage. Estimates of transit time and of space-charge effects are also made. Measurements in the pressure range 10−3 to 10−9 mm. Hg are in general agreement with the theory.

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Interaction of space-charge waves in an electron beam with electromagnetic waves in a longitudinal magnetic field

Physics of Wave Phenomena ◽

10.3103/s1541308x11040091 ◽

2011 ◽

Vol 19 (4) ◽

pp. 290-300 ◽

Cited By ~ 4

Author(s):

G. M. Krasnova

Keyword(s):

Magnetic Field ◽

Electron Beam ◽

Space Charge ◽

Electromagnetic Waves ◽

Longitudinal Magnetic Field ◽

Space Charge Waves

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Propagation of Space-charge Waves along a Drifting Multi-velocity Beam Immersed in an Infinite Magnetic Field†

Journal of Electronics and Control ◽

10.1080/00207216408937682 ◽

1964 ◽

Vol 17 (1) ◽

pp. 19-32

Author(s):

R. H. C. NEWTON

Keyword(s):

Magnetic Field ◽

Space Charge ◽

Space Charge Waves

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Zur Rayleigh-Taylor-Instabilität eines rotierenden Wasserstofflichtbogens im axialen Magnetfeld

Zeitschrift für Naturforschung A ◽

10.1515/zna-1970-0222 ◽

1970 ◽

Vol 25 (2) ◽

pp. 273-282 ◽

Cited By ~ 3

Author(s):

H. F. Döbele

Keyword(s):

Magnetic Field ◽

Growth Rate ◽

Heat Conduction ◽

Dispersion Relation ◽

Electrical Conduction ◽

Growth Rates ◽

Plasma Column ◽

Qualitative Agreement ◽

Axial Magnetic Field ◽

Rayleigh Taylor Instability

Abstract The Rayleigh-Taylor instability of a rotating hydrogen arc in an axial magnetic field is investigated with allowance for electrical conduction, heat conduction and viscosity. The r-depending part of the perturbation was assumed to be in the form of a half-period of a standing wave. The corresponding dispersion relation is derived in the WKB-approximation and is solved numerically. In contrast with the case without dissipation, the frequencies and growth rates of the different modes depend on the parameters of the unperturbed plasma column. The calculation shows, in qualitative agreement with the experiment, that with increasing magnetic field the highest growth rate passes successively to the next higher mode.

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Orientational dependencies of space-charge waves under the action of a magnetic field in GaAs:Cr

Applied Physics B ◽

10.1007/s00340-011-4490-7 ◽

2011 ◽

Vol 103 (2) ◽

pp. 351-356

Author(s):

D. V. Petrov ◽

A. V. Shamray ◽

B. Hilling ◽

K.-M. Voit ◽

M. Lemmer ◽

...

Keyword(s):

Magnetic Field ◽

Space Charge ◽

Space Charge Waves

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Self-consistent and complete field theory of relativistic travelling wave tube amplifier with plasma loaded tape helix

Canadian Journal of Physics ◽

10.1139/p2012-102 ◽

2012 ◽

Vol 90 (12) ◽

pp. 1237-1257 ◽

Cited By ~ 5

Author(s):

S. Saviz

Keyword(s):

Magnetic Field ◽

Field Theory ◽

Growth Rate ◽

Dispersion Relation ◽

Beam Energy ◽

Axial Magnetic Field ◽

Travelling Wave ◽

Wave Tube ◽

Constant Growth Rate ◽

Energy Beam

The dispersion relation was derived for electromagnetic wave propagation through a plasma-loaded helix travelling wave tube (TWT). The analysis is based on field theory for a configuration in which a magnetized pencil-type beam propagates through cold plasma in the helix enclosed with a loss-free wall. The obtained dispersion relation implicitly includes azimuthal variations and all spatial harmonics of the tape helix. The characteristics of the growth rate were studied numerically. The results show that the phase velocity increases with increasing plasma density and axial magnetic field. By numerical computation, the dispersion characteristic of plasma-loaded helix TWT analyzed in different cases of various plasma densities, beam energy, beam density, and axial guide magnetic field. The results show that the presence of plasma significantly increases the growth rate and bandwidth. The enhancement in beam energy and density cause an increase in growth rate and frequency. The growth rate increases with increasing axial field until is reaches a maximum; further increases in the axial guide field lead to a relatively constant growth rate.

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