Erratum: ?Stimulated Brillouin Backscattering and Ion Acoustic Wave Secondary Instability? [Phys. Plasmas 16, 032701 (2009)]

Journal Article · Mon Apr 20 00:00:00 EDT 2009 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3204101· OSTI ID:964501

Cohen, B I; Williams, E A; Berger, R L; Pesme, D; Riconda, C

This Erratum addresses errors that occurred in some of the analysis in our recent publication (Ref. 1). The main elements of Ref. 1 are (1) the presentation of kinetic simulations of simulated Brillouin backscattering (SBS) and the accompanying secondary instability of the primary SBS ion acoustic wave (IAW) with and without the inclusion of the second harmonic of the primary IAW; (2) analyses of the four-wave (primary IAW, low-frequency IAW, and two sidebands of the primary IAW) and seven-wave (includes the second harmonic of the primary IAW and its two sidebands, as well as the four waves defined in the foregoing) dispersion relations for the secondary IAW instability; (3) comparisons of the results of solving the dispersion relations to the two particle simulations; (4) mode coupling calculations for SBS and the four-wave system of IAWs that model the particle simulations; and (5) a discussion and summary. However, the simplified 7-wave dispersion relation used in Ref. 1 propagated a typographical error in Eq.(44) in Ref. 2, the Pesme, Riconda, and Tikhonchuk (PRT) paper. This Erratum corrects Eq.(44) of Ref. 2 (discussed in more detail in an Erratum3 for Ref. 2) and revises Sec. IV of Ref. 1 by correcting the analysis and comparisons of the 4-wave and 7-wave dispersion relations, and the comparison of the 7-wave dispersion relation to the particle simulations. We find that the results of the corrected 7-wave dispersion relation are not profoundly different from the corresponding results in Ref. 1 and the 7-wave growth rates of the most unstable modes are more similar to the results of the 4-wave dispersion relation. The main results of Ref. 1 are unchanged: (1) the particle simulations exhibit a secondary IAW instability that is a modulational instability involving parallel and obliquely propagating IAWs; (2) the two types of particle simulation exhibit similar spectra, and the second harmonic IAW is a transient feature in the first particle simulation that is not well differentiated from the noise in the streak spectra shown in Ref. 1; (3) the 4-wave dispersion relation fits the simulation data relatively well, and only the 4-wave dispersion relation is applicable to the simulation with the second harmonic IAW suppressed; (4) the results of the 7-wave dispersion relation do not differ profoundly from the 4-wave results for the modulational instability when frequency mismatch effects are included; and (5) it is problematic justifying the application of the 7-wave dispersion relation even to the first particle simulation because the second harmonic signal is either transient or weak. The 7-wave dispersion relation is not a primary focus of Ref. 1.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 964501
• Report Number(s): LLNL-JRNL-412473; PHPAEN; TRN: US0903859
• Journal Information: Physics of Plasmas, Journal Issue: 8; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION
BACKSCATTERING
DISPERSION RELATIONS
HARMONICS
INSTABILITY
ION ACOUSTIC WAVES
KINETICS
SIMULATION
SPECTRA
TRANSIENTS