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Phase-space formalism in presence of dispersion

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Abstract

A general formalism based on the Wigner phase-space formulation of mechanics is used to discuss the properties of charged beam propagation in the presence of dispersion. The paper introduces a generalized Courant-Snyder invariant, also including the dispersion function, and examines the phase space beam ellipse properties. It is shown that the betatron emittance is linked to the generalized invariant and that the effective emittance is linked to a non-invariant quantity whose transport properties are also discussed.
Authors:
Publication Date:
Dec 01, 1991
Product Type:
Technical Report
Report Number:
ENEA-RT-INN-91-45; RT/INN-91-45
Reference Number:
SCA: 430200; 661220; PA: ITAN-93:000277; SN: 93000980904
Resource Relation:
Other Information: PBD: Dec 1991
Subject:
43 PARTICLE ACCELERATORS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAM TRANSPORT; WIGNER THEORY; WIGNER DISTRIBUTION; DISPERSION RELATIONS; CHARGED-PARTICLE TRANSPORT; PHASE SPACE; BEAM EMITTANCE; BETATRON OSCILLATIONS; BEAM OPTICS; 430200; 661220; BEAM DYNAMICS, FIELD CALCULATIONS, AND ION OPTICS; PARTICLE BEAM PRODUCTION AND HANDLING; TARGETS
OSTI ID:
10147375
Research Organizations:
ENEA, Frascati (Italy). Dipt. Sviluppo Tecnologie di Punta
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 1120-558X; Other: ON: DE93784659; TRN: 93:000277
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
ITAN
Size:
13 p.
Announcement Date:
Jul 05, 2005

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Citation Formats

Dattoli, G, and Mari, C. Phase-space formalism in presence of dispersion. Italy: N. p., 1991. Web.
Dattoli, G, & Mari, C. Phase-space formalism in presence of dispersion. Italy.
Dattoli, G, and Mari, C. 1991. "Phase-space formalism in presence of dispersion." Italy.
@misc{etde_10147375,
title = {Phase-space formalism in presence of dispersion}
 author = {Dattoli, G, and Mari, C}
 abstractNote = {A general formalism based on the Wigner phase-space formulation of mechanics is used to discuss the properties of charged beam propagation in the presence of dispersion. The paper introduces a generalized Courant-Snyder invariant, also including the dispersion function, and examines the phase space beam ellipse properties. It is shown that the betatron emittance is linked to the generalized invariant and that the effective emittance is linked to a non-invariant quantity whose transport properties are also discussed.}
 place = {Italy}
 year = {1991}
 month = {Dec}
 }