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Chung, Moses
Intense Beam and Accelerator Laboratory (IBAL)
Research Interests
  • Accelerator, beam physics and diagnostics, plasma


Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory

DC Field Value Language Qin, Hong ko Davidson, Ronald C. ko Burby, Joshua W. ko Chung, Moses ko 2015-03-30T07:46:13Z - 2014-10-15 ko 2014-04 ko
dc.identifier.citation PHYSICAL REVIEW ACCELERATORS AND BEAMS, v.17, no.4, pp.1 - 12 ko
dc.identifier.issn 2469-9888 ko
dc.identifier.uri -
dc.description.abstract The dynamics of charged particles in general linear focusing lattices with quadrupole, skew-quadrupole, dipole, and solenoidal components, as well as torsion of the fiducial orbit and variation of beam energy is parametrized using a generalized Courant-Snyder (CS) theory, which extends the original CS theory for one degree of freedom to higher dimensions. The envelope function is generalized into an envelope matrix, and the phase advance is generalized into a 4D symplectic rotation, or a U(2) element. The 1D envelope equation, also known as the Ermakov-Milne-Pinney equation in quantum mechanics, is generalized to an envelope matrix equation in higher dimensions. Other components of the original CS theory, such as the transfer matrix, Twiss functions, and CS invariant (also known as the Lewis invariant) all have their counterparts, with remarkably similar expressions, in the generalized theory. The gauge group structure of the generalized theory is analyzed. By fixing the gauge freedom with a desired symmetry, the generalized CS parametrization assumes the form of the modified Iwasawa decomposition, whose importance in phase space optics and phase space quantum mechanics has been recently realized. This gauge fixing also symmetrizes the generalized envelope equation and expresses the theory using only the generalized Twiss function beta. The generalized phase advance completely determines the spectral and structural stability properties of a general focusing lattice. For structural stability, the generalized CS theory enables application of the Krein-Moser theory to greatly simplify the stability analysis. The generalized CS theory provides an effective tool to study coupled dynamics and to discover more optimized lattice designs in the larger parameter space of general focusing lattices. ko
dc.description.statementofresponsibility open -
dc.language 영어 ko
dc.publisher AMER PHYSICAL SOC ko
dc.title Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-84899705411 ko
dc.identifier.wosid 000333972900001 ko
dc.type.rims ART ko
dc.description.wostc 3 *
dc.description.scopustc 0 * 2015-12-28 * 2015-11-04 *
dc.identifier.doi 10.1103/PhysRevSTAB.17.044001 ko
dc.identifier.url ko
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