Perturbative formulation of nonlinear dispersion for particle motion in storage rings

Hitoshi Tanaka; Masaru Takao; Kouichi Soutome; Hiroyuki Hama; Masahito Hosaka

doi:10.1016/S0168-9002(99)00338-1

Perturbative formulation of nonlinear dispersion for particle motion in storage rings

Hitoshi Tanaka, Masaru Takao, Kouichi Soutome, Hiroyuki Hama, Masahito Hosaka

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We provide a perturbative formulation of nonlinear dispersion for particle motion in storage rings without linearizing the kinematic term and give recursion expressions for higher-order terms up to the fourth order. As an example, the nonlinear dispersion function of the SPring-8 storage ring is numerically calculated. The numerical calculation shows that the higher-order terms up to third order are not significantly modulated by magnetic error if the dispersion of the linear optics is sufficiently small. An experimental study of the nonlinear dispersion was also carried out and it was found that the agreement between the theory and the measurement was fairly good up to second order.

Original language	English
Pages (from-to)	396-408
Number of pages	13
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	431
Issue number	3
DOIs	https://doi.org/10.1016/S0168-9002(99)00338-1
Publication status	Published - 1999 Jul 21
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics
Instrumentation

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10.1016/S0168-9002(99)00338-1

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Perturbative formulation of nonlinear dispersion for particle motion in storage rings. / Tanaka, Hitoshi; Takao, Masaru; Soutome, Kouichi et al.

In: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 431, No. 3, 21.07.1999, p. 396-408.

Research output: Contribution to journal › Article › peer-review

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AU - Soutome, Kouichi

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AU - Hosaka, Masahito

PY - 1999/7/21

Y1 - 1999/7/21

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AB - We provide a perturbative formulation of nonlinear dispersion for particle motion in storage rings without linearizing the kinematic term and give recursion expressions for higher-order terms up to the fourth order. As an example, the nonlinear dispersion function of the SPring-8 storage ring is numerically calculated. The numerical calculation shows that the higher-order terms up to third order are not significantly modulated by magnetic error if the dispersion of the linear optics is sufficiently small. An experimental study of the nonlinear dispersion was also carried out and it was found that the agreement between the theory and the measurement was fairly good up to second order.

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Perturbative formulation of nonlinear dispersion for particle motion in storage rings

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