scholarly journals The general dispersion relation of induced streaming instabilities in quantum outflow systems

AIP Advances ◽  
2015 ◽  
Vol 5 (11) ◽  
pp. 117236 ◽  
Author(s):  
H. Mehdian ◽  
K. Hajisharifi ◽  
A. Hasanbeigi
Keyword(s):  
Dispersion Relation ◽  
General Dispersion

Magnetic Superlattice: Localized Magnetostatic Waves and Magnetic Polaritons

2003 ◽  
Vol 17 (15) ◽  
pp. 829-839
Author(s):  
R. T. Tagiyeva ◽  
M. Saglam
Keyword(s):  
Magnetic Material ◽  
Electromagnetic Wave ◽  
Dispersion Relation ◽  
Wave Theory ◽  
Frequency Region ◽  
Long Wavelength ◽  
Magnetostatic Waves ◽  
General Dispersion ◽  
Magnetic Polaritons ◽  
Magnetic Superlattice

Localized magnetostatic waves and magnetic polaritons at the junction of the magnetic material and magnetic superlattice composed of the alternating ferromagnetic or ferromagnetic and nonmagnetic layers are investigated in the framework of the electromagnetic wave theory in Voigt geometry. The general dispersion relation for localized magnetic polaritons and magnetostatic waves (MW) are derived in the long-wavelength limit. The dispersion curves and frequency region of the exsistence of the localized MW and magnetic polaritons are calculated numerically.

A general dispersion relation for Lamb-wave sensors with liquid-layer loading

1995 ◽  
Vol 49 (1-2) ◽  
pp. 79-84 ◽  
Author(s):  
Zhemin Zhu ◽  
Junru Wu ◽  
Jian Li ◽  
Wei Zhou
Keyword(s):  
Dispersion Relation ◽  
Liquid Layer ◽  
Lamb Wave ◽  
General Dispersion ◽  
Wave Sensors

Hydromagnetic waves in a cylindrical plasma: an experiment

1962 ◽  
Vol 13 (4) ◽  
pp. 587-596 ◽  
Author(s):  
D. F. Jephcott ◽  
P. M. Stocker
Keyword(s):  
Wave Propagation ◽  
Dispersion Relation ◽  
Dispersion Equation ◽  
Cyclotron Resonance ◽  
Cylindrical Tube ◽  
Ion Cyclotron Resonance ◽  
Plasma Parameters ◽  
General Dispersion ◽  
Hydromagnetic Waves ◽  
Discharge Measurements

In a previous paper (Woods 1962) a theory is presented which leads to a general dispersion relation for hydromagnetic waves in a dissipative plasma contained in a cylindrical tube. In the present paper experimental observations are compared with the predictions of this theory.An experiment is described in which torsional hydromagnetic waves are excited in a gas discharge. Measurements of the wave velocity and damping are compared with solutions of the dispersion equation which are computed from measured values of the plasma parameters. The results are consistent with the theory, and good numerical agreement is obtained by assuming a loss of particles to the tube walls. There is evidence of a cut-off in wave propagation in the region of ion cyclotron resonance.

Drift instabilities of a relativistic plasma. Part 1. Kinetic description of drift effects in a relativistic plasma

1987 ◽  
Vol 37 (1) ◽  
pp. 15-28 ◽  
Author(s):  
A. B. Mikhailovskii ◽  
O. G. Onishchenko
Keyword(s):  
Dispersion Relation ◽  
Dielectric Permittivity ◽  
Relativistic Effects ◽  
Plasma Pressure ◽  
Relativistic Plasma ◽  
Magnetized Plasma ◽  
Permittivity Tensor ◽  
Dielectric Permittivity Tensor ◽  
General Dispersion

The role of relativistic effects in the problem of drift instabilities in an inhomogeneous magnetized plasma is analysed. The kinetic approach is developed, taking into account a non-zero plasma pressure and the electromagnetic character of the perturbations. The general dispersion relation for the perturbations in an inhomogeneous relativistic plasma is obtained. As in the case of a non-relativistic plasma, the dispersion relation is written in terms of the modified dielectric permittivity tensor. This tensor is calculated by taking into account the non-Maxwellian character of the equilibrium momentum distributions of the particles. The relation between the modified dielectric permittivity tensor and the ordinary tensor of dielectric permittivity of a homogeneous plasma is elucidated.

Theory of stimulated scattering of large-amplitude waves

1995 ◽  
Vol 53 (2) ◽  
pp. 213-222 ◽  
Author(s):  
L. Stenflo
Keyword(s):  
Dispersion Relation ◽  
Large Amplitude ◽  
Pump Wave ◽  
Low Frequency ◽  
Wave Frequency ◽  
Nonlinear Coupling ◽  
Stimulated Scattering ◽  
Pump Wave Frequency ◽  
General Dispersion ◽  
Electron Gyrofrequency

By means of the standard fluid equations, we consider the nonlinear coupling between a large-amplitude pump wave and the low-frequency modes in a collisional plasma. We derive the general dispersion relation in order to discuss the case where the pump-wave frequency is not much larger than the electron gyrofrequency.

scholarly journals Can Long Meridional Length Scales Yield Faster Rossby Waves?

2009 ◽  
Vol 39 (2) ◽  
pp. 472-478 ◽  
Author(s):  
F. J. Poulin
Keyword(s):  
Dispersion Relation ◽  
Rossby Waves ◽  
Water Model ◽  
Buoyancy Frequency ◽  
Shallow Water Model ◽  
Coriolis Parameter ◽  
Length Scales ◽  
Wave Speeds ◽  
General Dispersion ◽  
Ocean Topography

Abstract There is much interest in better understanding the westward-propagating subinertial signal in the ocean basins because it influences many aspects of the ocean’s circulation. One explanation for the origin of this signal is that it is predominantly composed of Rossby waves. Chelton and Schlax assumed the observations were Rossby waves and compared their phase speeds with those predicted from nondispersive linear quasigeostrophic wave speeds. They concluded that the theory underestimated the observed wave speeds. Recently, in the context of the shallow-water model, Paldor, Rubin, and Mariano found that by including the full meridional variation of the Coriolis parameter, the Rossby waves have faster phase speeds. Here, their analysis is extended to derive a general dispersion relation for stratified Rossby waves that is suitable for both mesoscale and synoptic length scales. Then, realistic profiles of the buoyancy frequency are used to compare the phase speeds from the Ocean Topography Experiment (TOPEX)/Poseidon data with the new theory. It is found that the new theory does not yield any significant increase in Rossby wave speeds.

scholarly journals Wave modes in a cold pair plasma: the complete phase and group diagram point of view

2019 ◽  
Vol 85 (1) ◽  
Author(s):  
Rony Keppens ◽  
Hans Goedbloed
Keyword(s):  
Dispersion Relation ◽  
Point Of View ◽  
Complete Analysis ◽  
Fixed Frequency ◽  
Pair Plasma ◽  
Standard Textbook ◽  
Propagating Waves ◽  
General Dispersion ◽  
Avoided Crossings ◽  
Wave Modes

We present a complete analysis of all wave modes in a cold pair plasma, significantly extending standard textbook treatments. Instead of identifying the maximal number of two propagating waves at fixed frequency $\unicode[STIX]{x1D714}$, we introduce a unique labelling of all 5 mode pairs described by the general dispersion relation $\unicode[STIX]{x1D714}(k)$, starting from their natural ordering at small wavenumber $k$. There, the 5 pairs start off as Alfvén (A), fast magnetosonic (F), modified electrostatic (M) and electromagnetic O and X branches, and each $\unicode[STIX]{x1D714}(k)$ branch smoothly connects to large wavenumber resonances or limits. For cold pair plasmas, these 5 branches show avoided crossings, which become true crossings at exactly parallel or perpendicular orientation. Only for those orientations, we find a changed connectivity between small and large wavenumber behaviour. Analysing phase and group diagrams for all 5 wave modes, distinctly different from the Clemmow–Mullaly–Allis representation, reveals the true anisotropy of the A, M and O branches.

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