PAC2013 - List of Authors (Warnock, R.L.)

Paper	Title	Page
MOPBA19	Inter-bunch Communication through CSR in Whispering Gallery Modes	219
	R.L. Warnock SLAC, Menlo Park, California, USA J.C. Bergstrom CLS, Saskatoon, Saskatchewan, Canada M. Klein SOLEIL, Gif-sur-Yvette, France
	Funding: Support at SLAC by U.S. Dept. of Energy contract DE-AC03-76SF00515, at CLS by NSERC, NRC, Province of Saskatchewan, U. of Saskatchewan Theory predicts that coherent synchrotron radiation (CSR) in electron storage rings should appear in whispering gallery modes, which are resonant modes of the vacuum chamber, characterized by their high frequencies and concentration near the outer wall of the chamber. Such modes produce an extended wake field behind a particle bunch, which can influence the CSR from a succeeding bunch in a train. We review experimental evidence for the resonances * and for the inter-bunch communication. We then present a calculation based on Vlasov-Fokker-Planck equations which confirms an effect seen experimentally, namely that increasing the charge in a leading bunch increases the radiation from a following bunch. * R. Warnock and J. Bergstrom, PAC-2011, paper WEP119.

MOPBA20	Revised View of Basic FEL Equations and a Nonlinear Vlasov Description	222
	R.L. Warnock SLAC, Menlo Park, California, USA
	Funding: Partially supported by U. S. Dept. of Energy contract DE-AC03-76SF00515. The standard one-dimensional FEL equations are revised to incorporate a new approach to the wiggle average, in a context of continuous frequency. It has a firmer mathematical foundation, and leads to an interesting reformulation in the time domain. The equations are interpreted as a nonlinear Vlasov system for a continuous distribution function of ponderomotive angle and energy spread. Numerical solutions are illustrated.

Paper

Title

Page

Inter-bunch Communication through CSR in Whispering Gallery Modes

219

R.L. Warnock
SLAC, Menlo Park, California, USA
J.C. Bergstrom
CLS, Saskatoon, Saskatchewan, Canada
M. Klein
SOLEIL, Gif-sur-Yvette, France

Funding: Support at SLAC by U.S. Dept. of Energy contract DE-AC03-76SF00515, at CLS by NSERC, NRC, Province of Saskatchewan, U. of Saskatchewan
Theory predicts that coherent synchrotron radiation (CSR) in electron storage rings should appear in whispering gallery modes, which are resonant modes of the vacuum chamber, characterized by their high frequencies and concentration near the outer wall of the chamber. Such modes produce an extended wake field behind a particle bunch, which can influence the CSR from a succeeding bunch in a train. We review experimental evidence for the resonances * and for the inter-bunch communication. We then present a calculation based on Vlasov-Fokker-Planck equations which confirms an effect seen experimentally, namely that increasing the charge in a leading bunch increases the radiation from a following bunch.
* R. Warnock and J. Bergstrom, PAC-2011, paper WEP119.

MOPBA20

Revised View of Basic FEL Equations and a Nonlinear Vlasov Description

222

R.L. Warnock
SLAC, Menlo Park, California, USA

Funding: Partially supported by U. S. Dept. of Energy contract DE-AC03-76SF00515.
The standard one-dimensional FEL equations are revised to incorporate a new approach to the wiggle average, in a context of continuous frequency. It has a firmer mathematical foundation, and leads to an interesting reformulation in the time domain. The equations are interpreted as a nonlinear Vlasov system for a continuous distribution function of ponderomotive angle and energy spread. Numerical solutions are illustrated.