Title :
Microwave instability thresholds
Author_Institution :
Brookhaven Nat. Lab., Upton, NY, USA
Abstract :
Taking the first orthogonal polynomials in the conventional radial mode expansion in the eigenvalue type perturbation approach, the usual Keil-Schnell criteria for the microwave instabilities can be obtained. In this way, a close relationship between the two approaches is established. The existing results are reviewed, and some comments and modifications are made
Keywords :
eigenvalues and eigenfunctions; particle beam stability; perturbation theory; polynomials; Keil-Schnell criteria; eigenvalue; microwave instability threshold; orthogonal polynomials; perturbation; radial mode expansion; Equations; Frequency estimation; Gaussian distribution; Impedance; Particle beams; Polynomials; Redundancy; Synchrotrons; Thumb; Uncertainty;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.750766
