Title :
Analytic expressions for longitudinal Schottky signals from beams with Gaussian momentum distribution
Author_Institution :
Svedberg Lab., Uppsala Univ., Sweden
Abstract :
We calculate closed analytic expressions for the longitudinal Schottky Signals from beams with Gaussian momentum distribution. All dispersion integrals can be evaluated in terms of complex error functions. Using a Pade approximation for the error functions allows very rapid evaluation of the Schottky spectra
Keywords :
Schottky effect; particle beam diagnostics; Gaussian momentum distribution; Pade approximation; Schottky spectra; analytic expressions; complex error functions; dispersion integrals; error functions; longitudinal Schottky signals; Cooling; Damping; Dielectrics; Dispersion; Frequency; Gaussian distribution; Impedance; Laboratories; Shape; Signal analysis;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.751047
