Title :
Amplitude growth due to random, correlated kicks
Author :
Michelotti, Leo ; Mills, Fred
Author_Institution :
Fermilab, Batavia, IL, USA
Abstract :
The authors note that there appears to be good knowledge of the second moment for general stochastic processes due to stochastic cooling theory, but the form of the first moment is known only for extremely wideband (short correlation times) processes, such as gas scattering. In the present work, an attempt is made to derive an expression relating the expected single particle amplitude growth to the noise autocorrelation function and to obtain, thereby, the form of M 1 for narrowband processes (long correlation time)
Keywords :
particle beam diagnostics; first moment; narrowband processes; noise autocorrelation function; particle beams; random correlated kicks; second moment; single particle amplitude growth; stochastic cooling theory; stochastic processes; Additive noise; Differential equations; Frequency; Low earth orbit satellites; Milling machines; Particle beams; Particle scattering; Random variables; Silicon compounds; Stochastic processes;
Conference_Titel :
Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE
Conference_Location :
Chicago, IL
DOI :
10.1109/PAC.1989.73460
