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Linear undulator brightness: Exact analytical treatment

Abstract

This paper shows that the calculation of linearly polarized undulator brightness can be worked out exactly by using elliptic functions and multivariable Generalized Bessel Functions. The obtained results are shown to be valid in both non-relativistic and ultrarelativistic regimes. The physical relevance of the obtained results are discussed and the `low energy` corrections to the resonance condition are derived.
Publication Date:
Dec 01, 1991
Product Type:
Technical Report
Report Number:
ENEA-RT-INN-91-01; RT/INN-91-01
Reference Number:
SCA: 430200; 990200; PA: ITAN-93:000329; SN: 93000980935
Resource Relation:
Other Information: PBD: Dec 1991
Subject:
43 PARTICLE ACCELERATORS; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; WIGGLER MAGNETS; BRIGHTNESS; MULTIVARIATE ANALYSIS; BESSEL FUNCTIONS; RELATIVISTIC RANGE; ELLIPTICAL CONFIGURATION; LOW-ENERGY THEOREM; CORRECTIONS; INHOMOGENEOUS FIELDS; 430200; 990200; BEAM DYNAMICS, FIELD CALCULATIONS, AND ION OPTICS; MATHEMATICS AND COMPUTERS
OSTI ID:
10147156
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: DE93784690; TRN: 93:000329
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
ITAN
Size:
20 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Dattoli, G, Giannessi, L, Mari, C, Richetta, M, and Torre, A. Linear undulator brightness: Exact analytical treatment. Italy: N. p., 1991. Web.
Dattoli, G, Giannessi, L, Mari, C, Richetta, M, & Torre, A. Linear undulator brightness: Exact analytical treatment. Italy.
Dattoli, G, Giannessi, L, Mari, C, Richetta, M, and Torre, A. 1991. "Linear undulator brightness: Exact analytical treatment." Italy.
@misc{etde_10147156,
title = {Linear undulator brightness: Exact analytical treatment}
author = {Dattoli, G, Giannessi, L, Mari, C, Richetta, M, and Torre, A}
abstractNote = {This paper shows that the calculation of linearly polarized undulator brightness can be worked out exactly by using elliptic functions and multivariable Generalized Bessel Functions. The obtained results are shown to be valid in both non-relativistic and ultrarelativistic regimes. The physical relevance of the obtained results are discussed and the `low energy` corrections to the resonance condition are derived.}
place = {Italy}
year = {1991}
month = {Dec}
}