We analyse, in this paper, the self field of a bunched beam in a cylindrical metallic pipe with arbitrary density. The field is calculated by superposition of the Green's functions of the single charge in the pipe. A general solution is given as a Bessel-Fourier expansion, which is characterised by very good convergence properties. This allows the evaluation of the dynamics of a large class of physical beams by using this kind of solution for the self field. As an example the field is calculated for the case of a parabolic radial and elliptic longitudinal density profile.
Bunched beams in axisymmetric systems / DE MAGISTRIS, Massimiliano; Vaccaro, V. G.; Verolino, Luigi. - In: NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. A, NUCLEI, PARTICLES AND FIELDS. - ISSN 1124-1861. - ELETTRONICO. - 109:11(1996), pp. 1555-1565.
Bunched beams in axisymmetric systems
DE MAGISTRIS, MASSIMILIANO;VEROLINO, LUIGI
1996
Abstract
We analyse, in this paper, the self field of a bunched beam in a cylindrical metallic pipe with arbitrary density. The field is calculated by superposition of the Green's functions of the single charge in the pipe. A general solution is given as a Bessel-Fourier expansion, which is characterised by very good convergence properties. This allows the evaluation of the dynamics of a large class of physical beams by using this kind of solution for the self field. As an example the field is calculated for the case of a parabolic radial and elliptic longitudinal density profile.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
