Electrostatic waves in a nonuniform plasma

Journal Article · Sun Jul 01 04:00:00 EDT 1973 · Phys. Fluids, v. 16, no. 7, pp. 1032-1041

DOI:https://doi.org/10.1063/1.1694465· OSTI ID:4428662

Peratt, A L

Approximate expressions describing the Tonks-Dattner and Buchsbaum- Hasegawa resonances (at the second electron cyclotron harmonic) in a warm nonuniform plasma are derived by means of a fairly easy analytic continuation technique. Connection formulas are developed for third-order electric field differential equations derived from kinetic theories and show the coupling of slow and fast waves in the vicinity of a linear turning point. The relatively simple field expressions predict traveling longitudinal waves possessing outwardly directed phase velocities. Internal plasma fields appreciably larger than the excitation field are found when the density nonuniformity supports even mode resonances. The field equations and expressions for the associated impedance variation are compared to numerical integration solutions and show striking similarity to experimental observations. (auth)

• Research Organization: Lawrence Livermore Laboratory, University of California, Livermore, California 94550
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-001933
• OSTI ID: 4428662
• Journal Information: Phys. Fluids, v. 16, no. 7, pp. 1032-1041, Journal Name: Phys. Fluids, v. 16, no. 7, pp. 1032-1041; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

*PLASMA WAVES-- CYCLOTRON RESONANCE
ELECTRIC FIELDS
ELECTRON DENSITY
N70900* --Physics--Controlled Thermonuclear Research--Wave Phenomena
NUMERICAL SOLUTION