Nonsingular Integral Equation for Stability of a Bunched Beam

Details Nonsingular Integral Equation for Stability of a Bunched Beam Nonsingular Integral Equation for Stability of a Bunched Beam

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..aprk16009w&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

The usual linearized Vlasov equation for longitudinal motion of a bunched beam leads to a singular integral equation, with singularity where the coherent frequency equals a single-particle frequency: ω=Ω(J). A discretization for numerical solution of the equation in this form is not justified. A simple transformation gives a system which can be approximated by a matrix equation, because the new integral operator A is compact. The bunch becomes unstable at the current I for which det(1-A(ω,I)) first has a zero on the real ω-axis. Here A is a nonlinear function of ω. The theory and a realistic example will be presented.

Affiliated with

Also associated with

No associations

Rating

Nonsingular Integral Equation for Stability of a Bunched Beam does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonsingular Integral Equation for Stability of a Bunched Beam, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonsingular Integral Equation for Stability of a Bunched Beam will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1536969