FOCUSING PROPERTIES OF AN UNDULATOR WITH ANHARMONIC MAGNETIC-FIELDS

Authors
VARFOLOMEEV AA HAIRETDINOV AH
Citation
Aa. Varfolomeev et Ah. Hairetdinov, FOCUSING PROPERTIES OF AN UNDULATOR WITH ANHARMONIC MAGNETIC-FIELDS, Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment, 358(1-3), 1995, pp. 426-428
Citations number
6
Categorie Soggetti
Nuclear Sciences & Tecnology","Physics, Particles & Fields","Instument & Instrumentation",Spectroscopy
Journal title
Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment → ACNP
ISSN journal
01689002
Volume
358
Issue
1-3
Year of publication
1995
Pages
426 - 428
Database
ISI
SICI code
0168-9002(1995)358:1-3<426:FPOAUW>2.0.ZU;2-1
Abstract
The focusing properties of an undulator are considered for the common case that the undulator magnetic fields are not pure sinusoidal (anhar monic). The exact 3D solution of the Laplace equations for the magneti c field near the axis is found. Using equations of electron motion in the fields it is shown that an admixture of higher harmonics in the un dulator fields can significantly increase the focusing strength of the undulator. It is demonstrated that this higher harmonic transverse fo cusing of the electron beam does not violate the phase synchronism con dition between the electron and the field, what is similar to the natu ral undulator focusing of the basic harmonic field.