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Volumn 16, Issue 3, 2006, Pages

Direct observation of a "devil's staircase" in wave-particle interaction

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Indexed keywords


EID: 33749357838     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2216850     Document Type: Article
Times cited : (14)

References (41)
  • 15
    • 0003582543 scopus 로고
    • Cambridge University Press, Cambridge
    • E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
    • (1993) Chaos in Dynamical Systems
    • Ott, E.1
  • 32
    • 84958274302 scopus 로고    scopus 로고
    • note
    • Two causes can contribute to the presence of slower electrons: (i) the gun itself and (ii) space charge effects in the trochoidal analyzer. The normalization of the velocity distribution function enhances this lower tail when the beam is more spread [hence the observed periodicity at low wave amplitude, low electron velocity in Fig. 3(b)]. Figure 3(a), which focuses on accelerated electrons, is not polluted by these low energy electrons in the relevant domain.
  • 35
    • 84958274303 scopus 로고    scopus 로고
    • note
    • As the beam intersects the core of the cat eye, part of it merely rotates in the trapping domain. One should not mistake the image of the beam at later times, as in Fig. 7, with the unstable manifold of the hyperbolic point associated with the wave. However, the wiggles of the beam in the chaotic domain must follow grossly the wiggles of this unstable manifold.
  • 36
    • 84958274304 scopus 로고    scopus 로고
    • note
    • The many small peaks in the plot of f(v) are the result of the foldings of the smooth curve in (x,v) space, which was initially the monokinetic beam at v = 1. The probability density in v diverges at each fold, like the classical arc sine law.
  • 37
    • 84958274305 scopus 로고    scopus 로고
    • note
    • The squares are above the circles because they correspond to a lower estimate of the noise level.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.