Modified dispersion relation of surface plasmon waves in the presence of external magnetic field

2019 ◽  
Author(s):  
Prashant Chauhan ◽  
Suneet K. Awasthi ◽  
Anshu Varshney ◽  
Anuraj Panwar ◽  
Vivek Sajal
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Surface Plasmon ◽  
Modified Dispersion Relation ◽  
Surface Plasmon Waves

scholarly journals MODIFIED WAVE EQUATION FOR SPINLESS PARTICLES AND ITS SOLUTIONS IN AN EXTERNAL MAGNETIC FIELD

2013 ◽  
Vol 28 (06) ◽  
pp. 1350014 ◽  
Author(s):  
S. I. KRUGLOV
Keyword(s):  
Magnetic Field ◽  
Wave Equation ◽  
External Magnetic Field ◽  
Quantum Mechanical ◽  
Third Order ◽  
Modified Dispersion Relation ◽  
First Order ◽  
The Third ◽  
Uniform External Magnetic Field ◽  
Schrödinger Form

The wave equation for spinless particles with the Lorentz violating term is considered. We formulate the third-order in derivatives wave equation leading to the modified dispersion relation. The first-order formalism is considered and the density matrix is obtained. The Schrödinger form of equations is presented and the quantum-mechanical Hamiltonian is found. Exact solutions of the wave equation are obtained for particles in the constant and uniform external magnetic field. The change of the synchrotron radiation radius due to quantum gravity corrections is calculated.

scholarly journals Weibel instability in a plasma with nonzero external magnetic field

2012 ◽  
Vol 30 (7) ◽  
pp. 1051-1054 ◽  
Author(s):  
O. A. Pokhotelov ◽  
M. A. Balikhin
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Linear Growth ◽  
Cyclotron Frequency ◽  
Linear Growth Rate ◽  
Temperature Anisotropy ◽  
Formal Similarity ◽  
Weibel Instability

Abstract. The theory of the Weibel instability is generalized for the case of a plasma immersed in a nonzero external magnetic field. It is shown that the presence of this external field modifies the dispersion relation for this mode which now possesses a nonzero frequency. The explicit expression for the real and imaginary parts of the frequency is then calculated. It turns out that the linear growth rate remains unchanged, whereas the frequency becomes nonzero due to the finite value of the electron cyclotron frequency. The frequency of the Weibel mode is found to be proportional to the electron temperature anisotropy. The formal similarity of the Weibel and drift-mirror instabilities is outlined.

scholarly journals Theory of terahertz Smith-Purcell radiation from a cylindrical grating

2019 ◽  
Vol 11 ◽  
pp. 110007
Author(s):  
Z. Rezaei ◽  
B. Farokhi
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Electron Beam ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Free Electron ◽  
Free Electron Lasers ◽  
Annular Electron Beam ◽  
High Efficient ◽  
Beam Thickness

An analysis of an annular electron beam propagating along a cylindrical grating with external magnetic field Bo is presented. The grating comprises a dielectric in its slots. The dispersion relation of the modes is derived. The results demonstrate that the dielectric shifts the frequencies of the system modes to smaller values. The growth rates of the modes which are in phase with the beam are also considered. It is found that the decline in the growth rate is brought about by the dielectric. In addition, increasing the thickness of the dielectric and decreasing the height of the slots cause it to rise. The effect of beam thickness on growth rate is considered too. This is shown to increase and then fall as beam thickness increases. These results show that utilizing cylindrical grating loaded with dielectric has a promising effect on developing new kinds of compact high-efficient THz free-electron lasers based on Smith–Purcell radiation. Edited by: A. B. Márquez

Electromagnetic ion-beam instabilities in a cold plasma

1996 ◽  
Vol 55 (1) ◽  
pp. 77-86 ◽  
Author(s):  
G. Gnavi ◽  
L. Gomberoff ◽  
F. T. Gratton ◽  
R. M. O. Galvão
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Cold Plasma ◽  
Ion Beam ◽  
Negative Energy ◽  
Left Hand ◽  
Right Hand ◽  
Polarized Waves ◽  
The Stability

We study the stability of the cold-plasma dispersion relation for circularly polarized waves in a plasma composed of an ion background and an ion beam. The presence of the beam introduces a resonant branch into the dispersion relation for right-hand-polarized waves propagating in the direction of the external magnetic field, which, for V>Vφ, has negative energy (here V is the beam velocityVφ is the wave phase velocity). Therefore this branch may give rise to explosive instabilities when the waves experience parametric decays. It is shown graphically that resonant right-hand-polarized and non-resonant left-hand-polarized waves, propagating parallel to the external magnetic field, can be unstable. It is also shown that the instability region can extend to large frequencies and wavenumnbers, and that the instability regions have a band structure. The parametric dependence of instability thresholds and marginal modes is also studied.

Waves in Multicomponent Vlasov Plasmas with Anisotropic Pressure

1967 ◽  
Vol 22 (12) ◽  
pp. 1927-1935 ◽  
Author(s):  
Frank G. Verheest
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Small Amplitude ◽  
Anisotropic Pressure ◽  
Moment Equations ◽  
Component Plasma ◽  
General Dispersion ◽  
Ion Species ◽  
Constant External Magnetic Field

This is a study of the dispersion formulas for small amplitude waves in a fully ionized N-component plasma, in the presence of a constant external magnetic field. The number of ion species (whether positively or negatively charged) is left general. From a BOLTZMANN-VLASOV equation for each component of the plasma the first three moment equations are taken. The lowtemperature approximation is used to close the set of equations. This set is then solved together with the equations of MAXWELL to obtain a general dispersion relation, a determinant of order 3N. This relation is studied for the principal waves, and various compact formulas are derived. They are shown to include several known results, when applied to plasmas of the usual compositions. Their general form makes them suitable for various physical approximations.

Nyquist diagrams for low-frequency oscillations in a non-uniform magnetoplasma

1968 ◽  
Vol 2 (2) ◽  
pp. 135-143 ◽  
Author(s):  
Bruno Bertotti ◽  
Aldo Nocentini
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Temperature Gradient ◽  
Low Frequency ◽  
Larmor Radius ◽  
Low Density ◽  
Langmuir Waves ◽  
Local Dispersion ◽  
Low Frequency Oscillations

A modification of the Penrose criterion is applied to the local dispersion relation for low-frequency, electrostatic instabilities in a low-density, slightly inhomogeneous magnetoplasma. The Nyquist diagrams obtained can be classified according to their behaviour near the origin; this is sufficient in some cases to conclude that the equilibrium is unstable. With this method, in the limit of negligible ion Larmor radius, we find that the Langmuir waves propagating in a direction orthogonal to the external magnetic field are driven unstable by a temperature gradient.

Parametric decay of non-ducted whistler-mode signal

1979 ◽  
Vol 22 (2) ◽  
pp. 377-384 ◽  
Author(s):  
P. Nenovski ◽  
P. K. Shukla ◽  
S. G. Tagare ◽  
I. Zhelyazkov
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Space Plasma ◽  
Decay Process ◽  
Whistler Mode ◽  
Parametric Decay ◽  
Wave Decay ◽  
Ion Cyclotron

It is shown that a whistler-mode signal propagating obliquely to the external magnetic field can parametrically decay into a daughter wave and an ion cyclotron wave. A dispersion relation involving a three-wave decay process is derived. Application of our results in space plasma is pointed out.

Compressional magnetoacoustic waves in a quantum dusty magnetoplasma

2008 ◽  
Vol 74 (1) ◽  
pp. 107-110 ◽  
Author(s):  
P. K. SHUKLA
Keyword(s):  
Magnetic Field ◽  
Dispersion Relation ◽  
External Magnetic Field ◽  
Wave Dispersion ◽  
Spin Effect ◽  
Linear Dispersion ◽  
Linear Dispersion Relation ◽  
Bohm Potential ◽  
Magnetoacoustic Waves ◽  
External Magnetic Field Strength

AbstractThe linear dispersion relation for compressional magnetoacoustic waves in a quantum magnetoplasma is derived, taking into account the quantum Bohm potential and the magnetization of electrons due to the electron-1/2 spin effect. It is found that the quantum forces produce the wave dispersion at quantum scales, which depend on the external magnetic field strength.

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