THE SLOWLY VARYING ENVELOPE APPROXIMATION REVISITED

Citation
R. Bonifacio et al., THE SLOWLY VARYING ENVELOPE APPROXIMATION REVISITED, Optics communications, 101(3-4), 1993, pp. 185-187
Citations number
3
Categorie Soggetti
Optics
Journal title
ISSN journal
00304018
Volume
101
Issue
3-4
Year of publication
1993
Pages
185 - 187
Database
ISI
SICI code
0030-4018(1993)101:3-4<185:TSVEAR>2.0.ZU;2-7
Abstract
The limit of validity of the slowly varying envelope approximation (SV EA) is derived as a function of the ''bulk'' velocity upsilon of the r adiating system, which reads l(p) much greater than lambda(1 - upsilon /c), l(p) being the radiation pulse length. This condition reduces to the usual SVEA in the limit upsilon/c much less than 1, whereas it is sensibly relaxed in the relativistic limit. The relevance for the case of microwave free electron lasers