A direct variational approach involving trial functions and Ritz optimization, which has previously been found very useful in nonlinear optics, is applied to analyze the effects of spherical aberrations on the focusing properties of charged particle beams in particle colliders. As compared to conventional perturbation theory, the variational approach provides a simple and physically clear analysis. Explicit expressions are given for the transverse particle beam density, the spot size, and the luminosity reduction factor at the interaction point, in good agreement with the perturbative results.
A VariationalApproach to Spherical Aberrations in the Thermal-Wave Model forBeam Dynamics in Charged Particle Accelerators / D., Anderson; A., Berntson; M., Lisak; M., Quiroga Teixeiro; G., Zamanakos; Fedele, Renato; Miele, Gennaro. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - STAMPA. - 58:6(1998), pp. 608-612. [10.1088/0031-8949/58/6/011]
A VariationalApproach to Spherical Aberrations in the Thermal-Wave Model forBeam Dynamics in Charged Particle Accelerators
FEDELE, RENATO;MIELE, GENNARO
1998
Abstract
A direct variational approach involving trial functions and Ritz optimization, which has previously been found very useful in nonlinear optics, is applied to analyze the effects of spherical aberrations on the focusing properties of charged particle beams in particle colliders. As compared to conventional perturbation theory, the variational approach provides a simple and physically clear analysis. Explicit expressions are given for the transverse particle beam density, the spot size, and the luminosity reduction factor at the interaction point, in good agreement with the perturbative results.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
