# Parametric decay of plasma waves near the upper-hybrid resonance

@article{Dodin2017ParametricDO, title={Parametric decay of plasma waves near the upper-hybrid resonance}, author={I. Y. Dodin and Alexey V. Arefiev}, journal={arXiv: Plasma Physics}, year={2017} }

An intense X wave propagating perpendicularly to dc magnetic field is unstable with respect to a parametric decay into an electron Bernstein wave and a lower-hybrid wave. A modified theory of this effect is proposed that extends to the high-intensity regime, where the instability rate $\gamma$ ceases to be a linear function of the incident-wave amplitude. An explicit formula for $\gamma$ is derived and expressed in terms of cold-plasma parameters. Theory predictions are in reasonable agreement…

## Figures from this paper

## 11 Citations

### Parametric decay instability near the upper hybrid resonance in magnetically confined fusion plasmas

- Physics
- 2017

In this paper we investigate parametric decay of an electromagnetic pump wave into two electrostatic daughter waves, particularly an X-mode pump wave decaying into a warm upper hybrid wave (a limit…

### Particle-in-cell simulations of parametric decay instabilities at the upper hybrid layer of fusion plasmas to determine their primary threshold

- PhysicsPlasma Physics and Controlled Fusion
- 2019

Parametric decay instabilities (PDIs) are nonlinear processes by which energy from a strong pump wave may be directed into other waves at other frequencies, in particular natural modes of the medium,…

### Power threshold and saturation of parametric decay instabilities near the upper hybrid resonance in plasmas

- PhysicsPhysics of Plasmas
- 2019

Parametric decay instabilities (PDIs) occur for large-amplitude waves in quadratically nonlinear media, where they provide a limit of validity of linear theories and allow efficient coupling between…

### Parametric Decay Instabilities in the Electron Cyclotron Resonance Heating Beams at ASDEX Upgrade

- Physics
- 2019

In this Thesis we explore parametric decay instabilities (PDIs) in the electron cyclotron resonance heating (ECRH) beams at the ASDEX Upgrade tokamak. PDIs are nonlinear phenomena leading to decay of…

### Laser-plasma interactions in magnetized environment

- Physics
- 2017

Propagation and scattering of lasers present new phenomena and applications when the plasma medium becomes strongly magnetized. With mega-Gauss magnetic fields, scattering of optical lasers already…

### Kinetic simulations of X-B and O-X-B mode conversion and its deterioration at high input power

- Physics
- 2015

Spherical tokamak plasmas are typically overdense and thus inaccessible to externally-injected microwaves in the electron cyclotron range. The electrostatic electron Bernstein wave (EBW), however,…

### Plasma Physics in Strong Field Regimes

- Physics
- 2018

In strong electromagnetic fields, new plasma phenomena and applications emerge, whose modeling requires analytical theories and numerical schemes that I will develop in this thesis. Based on my new…

### D ec 2 01 7 Laser-plasma interaction in magnetized environment

- Physics
- 2018

X iv :1 71 2. 00 51 7v 1 [ ph ys ic s. pl as m -p h] 1 D ec 2 01 7 Laser-plasma interaction in magnetized environment Yuan Shi, 2, a) Hong Qin, 2, 3 and Nathaniel J. Fisch 2 Department of…

### Decay instability of X-mode laser into upper hybrid and electron Bernstein waves in a plasma

- Materials ScienceOptical and Quantum Electronics
- 2022

In this paper, we study the parametric decay of X-mode laser into upper hybrid wave and electron Bernstein wave. X-mode laser imparts oscillatory velocity v→0\documentclass[12pt]{minimal}…

### Three-wave interactions in magnetized warm-fluid plasmas: General theory with evaluable coupling coefficient.

- PhysicsPhysical review. E
- 2019

Coupling coefficient governing laser scattering is evaluated, and in conditions relevant to magnetized inertial confinement fusion, Raman and Brillouin instabilities are replaced by scattering from magnetized plasma waves when lasers propagate at oblique angles.

## References

SHOWING 1-10 OF 30 REFERENCES

### Nonlinear penetration of upper-hybrid waves induced by parametric instabilities of a plasma in an inhomogeneous magnetic field

- Physics
- 1981

It is observed that with a sufficiently large incident extraordinary wave amplitude, the electrostatic upper hybrid wave resulting from the mode conversion process at the resonant layer can scatter…

### Induced backscattering in an inhomogeneous plasma at the upper hybrid resonance

- Physics
- 2007

A theoretical study of the parametric decay instability as occurring in electron Bernstein wave heating experiments and leading to anomalous reflection is performed. The threshold power is calculated…

### Threshold of parametric decay instability accompanying electron Bernstein wave heating in spherical tokamaks

- Physics
- 2004

The parametric instability of upper hybrid wave decay into back scattered upper hybrid wave and lower hybrid wave is considered for conditions of inhomogeneous plasma of spherical tokamaks. The…

### ON THE OSCILLATIONS OF AN ELECTRON PLASMA IN A MAGNETIC FIELD

- Physics
- 1957

The kinetic theory of the oscillations of an electron plasma in a constant magnetic field is examined. An investigation is made of plasma oscillations of frequencies which are integral multiples of…

### Lagrangian approach to non-linear wave interactions in a warm plasma

- PhysicsJournal of Plasma Physics
- 1971

In this paper, the coupled-mode equations and coupling coefficients for three-wave interaction are derived by a Lagrangian approach for a general medium. A derivation of the Low Lagrangian for a warm…

### Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities

- Physics
- 2015

The nonlinear frequency shift is derived in a transparent asymptotic form for intense Langmuir waves in general collisionless plasma. The formula describes both fluid and kinetic effects…

### A survey of electron Bernstein wave heating and current drive potential for spherical tokamaks

- Physics
- 2011

The electron Bernstein wave (EBW) is typically the only wave in the electron cyclotron (EC) range that can be applied in spherical tokamaks for heating and current drive (H&CD). Spherical tokamaks…

### Ponderomotive Forces On Waves In Modulated Media

- Physics
- 2014

Nonlinear interactions of waves via instantaneous cross-phase modulation can be cast in the same way as ponderomotive wave-particle interactions in high-frequency electromagnetic fi eld. The…

### Kinetic simulations of X-B and O-X-B mode conversion and its deterioration at high input power

- Physics
- 2015

Spherical tokamak plasmas are typically overdense and thus inaccessible to externally-injected microwaves in the electron cyclotron range. The electrostatic electron Bernstein wave (EBW), however,…

### Variational symplectic particle-in-cell simulation of nonlinear mode conversion from extraordinary waves to Bernstein waves

- Physics
- 2015

In this paper, the nonlinear mode conversion of extraordinary waves in nonuniform magnetized plasmas is studied using the variational symplectic particle-in-cell simulation. The accuracy of the…