Parametric decay of plasma waves near the upperhybrid resonance
Abstract
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 lowerhybrid wave. A modified theory of this effect is proposed that extends to the highintensity regime, where the instability rate γ ceases to be a linear function of the incidentwave amplitude. An explicit formula for γ is derived and expressed in terms of coldplasma parameters. Here, theory predictions are in reasonable agreement with the results of the particleincell simulations presented in a separate publication.
 Authors:

 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 The Univ. of Texas, Austin, TX (United States)
 Publication Date:
 Research Org.:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1372881
 Alternate Identifier(s):
 OSTI ID: 1363696
 Report Number(s):
 5343
Journal ID: ISSN 1070664X; PHPAEN
 Grant/Contract Number:
 AC0209CH11466; NA0002008
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 3; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Dodin, I. Y., and Arefiev, A. V. Parametric decay of plasma waves near the upperhybrid resonance. United States: N. p., 2017.
Web. doi:10.1063/1.4979168.
Dodin, I. Y., & Arefiev, A. V. Parametric decay of plasma waves near the upperhybrid resonance. United States. doi:10.1063/1.4979168.
Dodin, I. Y., and Arefiev, A. V. Tue .
"Parametric decay of plasma waves near the upperhybrid resonance". United States. doi:10.1063/1.4979168. https://www.osti.gov/servlets/purl/1372881.
@article{osti_1372881,
title = {Parametric decay of plasma waves near the upperhybrid resonance},
author = {Dodin, I. Y. and Arefiev, A. V.},
abstractNote = {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 lowerhybrid wave. A modified theory of this effect is proposed that extends to the highintensity regime, where the instability rate γ ceases to be a linear function of the incidentwave amplitude. An explicit formula for γ is derived and expressed in terms of coldplasma parameters. Here, theory predictions are in reasonable agreement with the results of the particleincell simulations presented in a separate publication.},
doi = {10.1063/1.4979168},
journal = {Physics of Plasmas},
number = 3,
volume = 24,
place = {United States},
year = {2017},
month = {3}
}
Other availability
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Geometric view on noneikonal waves
journal, April 2014
 Dodin, I. Y.
 Physics Letters A, Vol. 378, Issue 2223
Theory of current drive in plasmas
journal, January 1987
 Fisch, Nathaniel J.
 Reviews of Modern Physics, Vol. 59, Issue 1
A new derivation of the plasma susceptibility tensor for a hot magnetized plasma without infinite sums of products of Bessel functions
journal, September 2007
 Qin, Hong; Phillips, Cynthia K.; Davidson, Ronald C.
 Physics of Plasmas, Vol. 14, Issue 9
Variational symplectic particleincell simulation of nonlinear mode conversion from extraordinary waves to Bernstein waves
journal, September 2015
 Xiao, Jianyuan; Liu, Jian; Qin, Hong
 Physics of Plasmas, Vol. 22, Issue 9
Observation of the parametric decay instability during electron cyclotron resonance heating on the Versator II tokamak
journal, January 1982
 McDermott, F. S.
 Physics of Fluids, Vol. 25, Issue 9
Induced backscattering in an inhomogeneous plasma at the upper hybrid resonance
journal, March 2007
 Gusakov, E. Z.; Surkov, A. V.
 Plasma Physics and Controlled Fusion, Vol. 49, Issue 5
Lagrangian approach to nonlinear wave interactions in a warm plasma
journal, August 1971
 Galloway, J. J.; Kim, H.
 Journal of Plasma Physics, Vol. 6, Issue 1
Zonalflow dynamics from a phasespace perspective
journal, December 2016
 Ruiz, D. E.; Parker, J. B.; Shi, E. L.
 Physics of Plasmas, Vol. 23, Issue 12
Kinetic simulations of XB and OXB mode conversion
conference, January 2015
 Arefiev, A. V.; Du Toit, E. J.; Köhn, A.
 RADIO FREQUENCY POWER IN PLASMAS: Proceedings of the 21st Topical Conference, AIP Conference Proceedings
Ponderomotive Forces on Waves in Modulated Media
journal, May 2014
 Dodin, I. Y.; Fisch, N. J.
 Physical Review Letters, Vol. 112, Issue 20
A survey of electron Bernstein wave heating and current drive potential for spherical tokamaks
journal, August 2011
 Urban, Jakub; Decker, Joan; Peysson, Yves
 Nuclear Fusion, Vol. 51, Issue 8
On Variational Methods In the Physics of Plasma Waves
journal, January 2014
 Dodin, I. Y.
 Fusion Science and Technology, Vol. 65, Issue 1
Extending geometrical optics: A Lagrangian theory for vector waves
journal, May 2017
 Ruiz, D. E.; Dodin, I. Y.
 Physics of Plasmas, Vol. 24, Issue 5
Variational principles for dissipative (sub)systems, with applications to the theory of linear dispersion and geometrical optics
journal, April 2017
 Dodin, I. Y.; Zhmoginov, A. I.; Ruiz, D. E.
 Physics Letters A, Vol. 381, Issue 16
Phasespace – Lagrangian action principle and the generalized K  χ theorem
journal, July 1987
 Kaufman, Allan N.
 Physical Review A, Vol. 36, Issue 2
Ponderomotive dynamics of waves in quasiperiodically modulated media
journal, March 2017
 Ruiz, D. E.; Dodin, I. Y.
 Physical Review A, Vol. 95, Issue 3
Backward Raman amplification of broadband pulses
journal, August 2016
 Balakin, A. A.; Dodin, I. Y.; Fraiman, G. M.
 Physics of Plasmas, Vol. 23, Issue 8
Lagrangian geometrical optics of nonadiabatic vector waves and spin particles
journal, October 2015
 Ruiz, D. E.; Dodin, I. Y.
 Physics Letters A, Vol. 379, Issue 38
Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities
journal, August 2015
 Liu, Chang; Dodin, Ilya Y.
 Physics of Plasmas, Vol. 22, Issue 8
Nonlinear Penetration of UpperHybrid Waves Induced by Parametric Instabilities of a Plasma in an Inhomogeneous Magnetic Field
journal, July 1981
 Lin, A. T.; Lin, ChihChien
 Physical Review Letters, Vol. 47, Issue 2
Ponderomotive Force and Linear Susceptibility in Vlasov Plasma
journal, August 1977
 Cary, John R.; Kaufman, Allan N.
 Physical Review Letters, Vol. 39, Issue 7
Axiomatic geometrical optics, AbrahamMinkowski controversy, and photon properties derived classically
journal, November 2012
 Dodin, I. Y.; Fisch, N. J.
 Physical Review A, Vol. 86, Issue 5
On generalizing the theorem
journal, July 2010
 Dodin, I. Y.; Fisch, N. J.
 Physics Letters A, Vol. 374, Issue 34