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Volumn 7, Issue 2, 2004, Pages 79-125

Stability properties of the transverse envelope equations describing intense ion beam transport

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EID: 18244363858     PISSN: 10984402     EISSN: 10984402     Source Type: Journal    
DOI: 10.1103/PhysRevSTAB.7.024801     Document Type: Article
Times cited : (93)

References (48)
  • 9
    • 85088490242 scopus 로고    scopus 로고
    • note
    • y are the x-x′ and y-y′phase-space areas of a KV distribution.
  • 12
    • 18244379539 scopus 로고    scopus 로고
    • note
    • No proof exists that such a Vlasov self-consistent distribution can or cannot be constructed. A self-consistent distribution of this form would not necessarily imply an equilibrium. For example, in a periodic lattice, n(p) could change in form from period to period. Some authors (see, for example, Ref. [48]) have assumed constructs where n(p) maintains self-similar form in a periodic lattice. However, such assumptions are implausible under the Vlasov evolution.
  • 15
    • 18244379251 scopus 로고    scopus 로고
    • note
    • This result can be proved for small-amplitude mismatch excursions about a matched beam using results developed later. No fully nonlinear proof is known for large-amplitude mismatches, although numerical results support the conjecture.
  • 22
    • 85088493370 scopus 로고    scopus 로고
    • note
    • 0 as a focusing parameter which does not correspond to the undepressed particle phase advance.
  • 28
    • 0003264910 scopus 로고
    • edited by R. A. Carrigan, F. R. Hudson, and M. Month, AIP Conf. Proc. No. 87 (AIP, New York)
    • A. Dragt, in Physics of High Energy Particle Accelerators, edited by R. A. Carrigan, F. R. Hudson, and M. Month, AIP Conf. Proc. No. 87 (AIP, New York, 1982), p. 147.
    • (1982) Physics of High Energy Particle Accelerators , pp. 147
    • Dragt, A.1
  • 33
    • 18244379791 scopus 로고
    • Ph.D. thesis, University of California
    • F. J. Sacherer, Ph.D. thesis, University of California, 1968.
    • (1968)
    • Sacherer, F.J.1
  • 39
    • 85088489344 scopus 로고    scopus 로고
    • note
    • θ ≠ 0 can occur in lattices with skew quadrupoles or where the principal axes of the elliptical beam are not initially aligned with the quadrupole axes.
  • 41
    • 18244401051 scopus 로고    scopus 로고
    • R. Ryne, acc-phys/9502001
    • R. Ryne, acc-phys/9502001.
  • 42
    • 0004323731 scopus 로고    scopus 로고
    • Los Alamos National Laboratory Report No. LA-UR-97-886
    • For example, the TRACE 3D code, K. R. Crandall and D. P Rusthoi, TRACE 3-D Documentation, Los Alamos National Laboratory Report No. LA-UR-97-886, 1997.
    • (1997) TRACE 3-D Documentation
    • Crandall, K.R.1    Rusthoi, D.P.2
  • 43
    • 85088489467 scopus 로고    scopus 로고
    • note
    • j = 0 and numerically or analytically integrating the (linear) envelope equations (4) subject to the periodicity requirement (7) [41]. This determines the solution to an overall scale factor that can be set using continuous focusing approximations (see Sec. III) or other low-order force balances (see Ref. [25]).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.