Dispersion matching at the injection from a high-intensity linac to a circular accelerator

Ohkawa, T.; Ikegami, Machiko

doi:10.1016/j.nima.2007.03.015

Cited by 5 publications

(5 citation statements)

References 13 publications

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“…Equation 3is the same as Eq. (10) in a paper by Ohkawa and Ikegami on dispersion matching from a linac into a ring at KEK [3]. It would seem that Eq.…”

Section: Basic Relationsmentioning

confidence: 99%

“…where the last equalities are written in terms of the beam sigma matrix [3]. Equations (4) are valid with or without (linear) space charge and are useful for computational purposes; however, calculations with !…”

Section: Basic Relationsmentioning

confidence: 99%

“…The theories were developed in 1998 by Venturini and Reiser [1], and, independently, by Lee and Okamoto [2]. Other authors have used one or the other approach to model proton storage rings at KEK [3][4][5] and SNS [6], but no experimental tests of either theory have been carried out.…”

Section: Introductionmentioning

confidence: 99%

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Smooth approximation model of dispersion with strong space charge for continuous beams

Bernal

Beaudoin

Koeth

et al. 2011

Phys. Rev. ST Accel. Beams

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We apply the Venturini-Reiser (V-R) envelope-dispersion equations [M. Venturini and M. Reiser, Phys. Rev. Lett. 81, 96 (1998)] to a continuous beam in a uniform focusing/bending lattice to study the combined effects of linear dispersion and space charge. Within this simple model we investigate the scaling of average dispersion and the effects on beam dimensions and show that the V-R equations lead to the correct zero-current limits. We also introduce a generalization of the space charge intensity parameter and apply it to the University of Maryland Electron Ring and other machines. In addition, we present results of calculations to test the smooth approximation by solving the V-R original equations and also through simulations with the matrix code ELEGANT.

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“…Equation 3is the same as Eq. (10) in a paper by Ohkawa and Ikegami on dispersion matching from a linac into a ring at KEK [3]. It would seem that Eq.…”

Section: Basic Relationsmentioning

confidence: 99%

Section: Basic Relationsmentioning

confidence: 99%

See 1 more Smart Citation

Smooth approximation model of dispersion with strong space charge for continuous beams

Bernal

Beaudoin

Koeth

et al. 2011

Phys. Rev. ST Accel. Beams

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show abstract

“…As was shown in Refs. [2,8,23], these coefficients have the feature that one can also find expressions for the dispersions. The idea is that in the classical 2D theory the betatron motion and the dispersive part are uncorrelated: Let n = 3 and η k for k = 1, 2, 4, 5 denote the dispersion function with respect to direction k, where the 6th component x 6 corresponds to the energy offset δp/p 0 .…”

Section: Classification Of Invariant Covariance Matricesmentioning

confidence: 99%

On emittance and optics calculation from the tracking data in periodic lattices

Titze¹

2019

Preprint

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In this work we examine the interplay between normal form and matched particle distributions in a linear setting. We first outline the connection between the established Σ-matrix method and Williamson's Theorem. Then we show that the Iwasawa decomposition provides a natural framework for a description of beam optics parameters. Along the way we will apply these methods to a realistic tracking example, as well as provide additional examples, including the connection to the parameterization of Courant-Synder.

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“…1. Detailed descriptions of the beam transport line are left for the other literatures [21][22][23][24]. The collimator section consists of four periods of FODO lattice with eight quadrupole magnets.…”

Section: Optics Design Of the Halo Collimatormentioning

confidence: 99%