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Volumn 8, Issue 11, 2001, Pages 4784-4799

A self-consistent trapping model of driven electron plasma waves and limits on stimulated Raman scatter

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EID: 0000690269     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1410111     Document Type: Article
Times cited : (98)

References (58)
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    • note
    • If self-focusing is significant, some local measure of hot spot or filament width is required.
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    • note
    • Since this model is in terms of the wave spatial envelopes, local in this context means over a wavelength of the EPW.
  • 31
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    • note
    • Since the model is nonlinear, it is possible that solutions with period other than that of the source are possible, including nonperiodic solutions. However, those with period are the same as the source preferentially participate in stimulated scatter.
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    • note
    • Also, if the potential does not have a unique minimum, there will be more than one class of trapped orbits, some with the same energy.
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    • note
    • This and other technical results related to elliptic functions were facilitated by Mathematica, Copyright 1988-1999 Wolfram Research, Inc., Version number 4.0.0.0.
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    • note
    • This can be turned around: for given ν, what is the value of φ for which there is a loss of resonance? This is the curve which goes through the maxima of the curves in Fig. 2.
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    • note
    • Dewar (Ref. 10) has used such an approximation for a different class of BGK modes.
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    • note
    • We are certainly aware that there is a large literature on the relative merits of Eulerian versus particle versus hybrid methods for solving what are basically hyperbolic partial differential equations. Since numerics is a side issue for us, we choose not to enter this often partisan debate. Eulerian methods which use the hyperbolic character of the Vlasov equation to predict the value of f after a time of evolution, dt, require interpolation of the initial condition to points off the numerical grid, introducing numerical dissipation. In the method used here, the numerical dissipation is controlled by D. Whatever the manner in which numerical dissipation is introduced, one must take care that it does not compete with the physical dissipation, measured by ν, especially in the compulation of equilibrium properties.
  • 57
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    • note
    • This has been verified for N = 2 and 4.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.