Non-linear coupling of waves in a magnetized plasma with particle drift motions

1969 ◽  
Vol 3 (2) ◽  
pp. 215-226 ◽  
Author(s):  
H. wilhelmsson
Keyword(s):  
Magnetic Field ◽  
Relativistic Effects ◽  
Wave Interaction ◽  
Magnetized Plasma ◽  
Transverse Waves ◽  
Linear Interaction ◽  
Longitudinal Waves ◽  
Coupled Mode ◽  
Non Linear ◽  
Method Of Solution

We study non-linear interaction between three monochromatic waves which propagate parallel to the direction of a magnetic field in a plasma. The approach to the problem is hydromagnetic, including temperature effects, and the method of solution is that of coupled mode theory. In particular drift motions of the particles along the magnetic field are considered taking into account relativistic effects. The interaction of two transverse waves and one longitudinal wave is treated as well as that of three longitudinal waves. Besides, the case of two longitudinal waves and one perpendicular wave has been studied in some detail assuming the latter to have a long wavelength.The present paper represents a generalization of the problem of three-wave interaction in a plasma to situations more complex than have been treated before. The most essential limitation consists in the assumptions made for the directions of propagation of the waves.

Nonlinear interaction between longitudinal waves in a magnetized plasma

1978 ◽  
Vol 19 (3) ◽  
pp. 405-410 ◽  
Author(s):  
A. A. Selim
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Quantum Field Theory ◽  
Nonlinear Interaction ◽  
Uniform Magnetic Field ◽  
Magnetized Plasma ◽  
Quantum Field ◽  
Arbitrary Angle ◽  
Longitudinal Waves ◽  
Coupled Mode

Quantum field theory is used to investigate the resonant nonlinear interaction between three longitudinal waves propagating at any arbitrary angle to a uniform magnetic field in a plasma. The coupled mode equations, coupling coefficient and a formula for the growth rates are derived.

Transverse plasma waves and their instability

1962 ◽  
Vol 14 (3) ◽  
pp. 321-335 ◽  
Author(s):  
F. D. Kahn
Keyword(s):  
Magnetic Field ◽  
Velocity Distribution ◽  
Plasma Waves ◽  
Practical Case ◽  
Transverse Waves ◽  
Longitudinal Waves ◽  
Linearized Equations ◽  
The Waves

Linearized equations are derived for disturbances in an infinite plasma without an imposed magnetic field. It is shown that besides the electrostatic, or longitudinal, waves which are usually considered, there can also exist electromagnetic, or transverse, waves. The two sets of waves are generally coupled, but one can nevertheless classify the waves as either mainly longitudinal or mainly transverse. It turns out that a plasma which is stable to longitudinal waves will be unstable to transverse waves unless the velocity distribution of its particles satisfies some rather stringent conditions. In a practical case these conditions would require the distribution to be isotropic.

scholarly journals Non-linear interaction of laser light with vacuum: contributions to the energy density and pressure in presence of an intense magnetic field

2022 ◽  
Author(s):  
M Angeles Perez-Garcia ◽  
Aurora Perez Martinez ◽  
Elisabeth Rodriguez Querts
Keyword(s):  
Magnetic Field ◽  
Energy Density ◽  
Quantum Electrodynamics ◽  
Linear Interaction ◽  
Intense Magnetic Field ◽  
Electric And Magnetic Fields ◽  
Non Linear ◽  
Underdense Plasmas ◽  
Linear Behaviour ◽  
Weak Fields

Abstract Recent simulations show that very large electric and magnetic fields near the kilo Tesla strength will likely be generated by ultra-intense lasers at existing facilities over distances of hundreds of microns in underdense plasmas. Stronger ones are even expected in the future although some technical dificulties must be overcome. In addition, it has been shown that vacuum exhibits a peculiar non-linear behaviour in presence of high magnetic and electric field strengths. In this work we are interested in the analysis of thermodynamical contributions of vacuum to the energy density and pressure when radiation interacts with it in the presence of an external magnetic field. Using the Euler-Heisenberg formalism in the regime of weak fields i.e. smaller than critical Quantum Electrodynamics field strength values, we evaluate these magnitudes and analyze the highly anisotropic behaviour we find. Our work has implications for photon-photon scattering with lasers and astrophysically magnetized underdense systems far outside their surface where matter effects are increasingly negligible.

Non-linear interaction between three ordinary electromagnetic waves

1971 ◽  
Vol 5 (3) ◽  
pp. 413-425 ◽  
Author(s):  
L. Stenflo
Keyword(s):  
Magnetic Field ◽  
General Formula ◽  
Constant Magnetic Field ◽  
Electromagnetic Waves ◽  
Electron Plasma ◽  
Static Field ◽  
Coupling Coefficients ◽  
Linear Interaction ◽  
Non Linear ◽  
Spatially Homogeneous

This paper considers the non-linear interaction between three resonant, modified ordinary electromagnetic waves, which propagate perpendicular to a constant magnetic field in a spatially homogeneous electron plasma. The coupling coefficients are calculated and discussed. Finally, a general formula, describing the interaction between three waves propagating at arbitrary angles to the static field, is derived.

Three-wave interaction between transverse and longitudinal waves

1989 ◽  
Vol 42 (1) ◽  
pp. 187-191 ◽  
Author(s):  
G. Brodin ◽  
L. Stenflo
Keyword(s):  
Longitudinal Wave ◽  
Wave Interaction ◽  
Resonant Interaction ◽  
Transverse Waves ◽  
Longitudinal Waves ◽  
Long Wavelength ◽  
Coupling Phenomena

We consider the resonant interaction between two transverse waves and one longitudinal wave in a plasma. In particular, we discuss coupling phenomena involving long-wavelength modes that have been overlooked by previous authors.

Nonlinear coupling of five waves in non-uniform streaming plasma

1980 ◽  
Vol 24 (1) ◽  
pp. 55-63 ◽  
Author(s):  
G. C. Pramanik
Keyword(s):  
Nonlinear Interaction ◽  
Wave Interaction ◽  
Electron Plasma ◽  
Stream Velocity ◽  
Coupled Mode Theory ◽  
Nonlinear Coupling ◽  
Transverse Waves ◽  
Mode Theory ◽  
Coupled Mode ◽  
Interaction Phenomena

In this paper, nonlinear interaction of five monochromatic waves in a hot nonuniform streaming electron plasma has been presented. The method of formulation of the problem is based on the coupled mode theory. The wave–wave interaction phenomena have been analysed in the case of three longitudinal and two transverse waves. Furthermore, the presence of a stream velocity and its uniform gradient offers a generalization of the nonlinear interaction of an earlier work.

Nonlinear resonant interaction of three longitudinal waves in a magnetized plasma

1976 ◽  
Vol 16 (1) ◽  
pp. 95-102 ◽  
Author(s):  
K. P. Das ◽  
D. Banerjee
Keyword(s):  
Uniform Magnetic Field ◽  
Resonant Interaction ◽  
Magnetized Plasma ◽  
Quantum Mechanical ◽  
Coupling Coefficients ◽  
Arbitrary Angle ◽  
Mechanical Method ◽  
Longitudinal Waves ◽  
Coupled Mode ◽  
Quantum Mechanical Method

Resonant nonlinear interaction among three longitudinal waves propagating along any arbitrary angle to a uniform magnetic field in a plasma is investigated by a quantum-mechanical method. The coupled mode equations and coupling coefficients are derived.

Parametric excitation of electromagnetic waves in a magnetized plasma

1999 ◽  
Vol 62 (1) ◽  
pp. 53-64 ◽  
Author(s):  
A. K. YUKHIMUK ◽  
V. A. YUKHIMUK ◽  
O. K. SIRENKO ◽  
Yu. M. VOITENKO
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Wave ◽  
Electromagnetic Waves ◽  
Wave Interaction ◽  
Wave Generation ◽  
Magnetized Plasma ◽  
Ambient Magnetic Field ◽  
Instability Growth ◽  
Parametric Processes ◽  
Two Fluid

The parametric interaction of an upper-hybrid pump wave with kinetic Alfvén and electromagnetic waves that propagate in parallel and perpendicular directions to the ambient magnetic field is investigated on the basis of two-fluid magnetohydrodynamics. A nonlinear dispersion relation describing three-wave interaction and instability growth rates are found. The theoretical results are used for the interpretation of satellite observations in the magnetospheric plasma. It is shown that as a result of the decay of an upper-hybrid wave, electromagnetic waves propagating in both parallel and perpendicular directions to the ambient magnetic field are generated. The instability growth rate is much higher in the case of left-polarized electromagnetic wave generation than in the case of ordinary electromagnetic wave generation. The nonlinear parametric processes studied here could also take place during powerful bursts on the Sun, and in the magnetosphere of Jupiter.

Sign in / Sign up

Export Citation Format

Share Document