Emittance of a nonlinear machine: the two-dimensional problem

Armando Antillón; Bruce Hoeneisen

doi:10.1016/0168-9002(91)90543-Y

Emittance of a nonlinear machine: the two-dimensional problem

Armando Antillón^*
, Bruce Hoeneisen

^*Corresponding author for this work

Física

UNAM

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

9 Scopus citations

Abstract

We outline an approach for obtaining the approximate invariants of the motion of a particle in a nonlinear storage ring. The distortion of phase space due to amplitude and chromatic effects is described by periodic functions in addition to the Courant-Snyder functions α, β and γ. The approach, which is complementary to others, is particularly useful at the design stage of the machine.

Original language	English
Pages (from-to)	239-246
Number of pages	8
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	305
Issue number	2
DOIs	https://doi.org/10.1016/0168-9002(91)90543-Y
State	Published - 20 Jul 1991

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title = "Emittance of a nonlinear machine: the two-dimensional problem",

abstract = "We outline an approach for obtaining the approximate invariants of the motion of a particle in a nonlinear storage ring. The distortion of phase space due to amplitude and chromatic effects is described by periodic functions in addition to the Courant-Snyder functions α, β and γ. The approach, which is complementary to others, is particularly useful at the design stage of the machine.",

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year = "1991",

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T1 - Emittance of a nonlinear machine

T2 - the two-dimensional problem

AU - Antillón, Armando

AU - Hoeneisen, Bruce

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Y1 - 1991/7/20

N2 - We outline an approach for obtaining the approximate invariants of the motion of a particle in a nonlinear storage ring. The distortion of phase space due to amplitude and chromatic effects is described by periodic functions in addition to the Courant-Snyder functions α, β and γ. The approach, which is complementary to others, is particularly useful at the design stage of the machine.

AB - We outline an approach for obtaining the approximate invariants of the motion of a particle in a nonlinear storage ring. The distortion of phase space due to amplitude and chromatic effects is described by periodic functions in addition to the Courant-Snyder functions α, β and γ. The approach, which is complementary to others, is particularly useful at the design stage of the machine.

UR - https://www.scopus.com/pages/publications/4243987888

U2 - 10.1016/0168-9002(91)90543-Y

DO - 10.1016/0168-9002(91)90543-Y

M3 - Artículo

AN - SCOPUS:4243987888

SN - 0168-9002

VL - 305

SP - 239

EP - 246

JO - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

JF - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

IS - 2

ER -

Emittance of a nonlinear machine: the two-dimensional problem

Abstract

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