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Karl L. F. Bane

Publications and source records attributed to Karl L. F. Bane.

6 recordsLinked to original sources

A Simplified Model of Intrabeam Scattering

Beginning with the general Bjorken-Mtingwa solution, we derive a simplified model of intrabeam scattering (IBS), one valid for high energy beams in normal storage rings; our result is similar, though more accurate than a model due to Raubenheimer. In addition, we show that a modified version of Piwinski's IBS formulation (where eta squared over beta has been replaced by the dispersion invariant) at high energies asymptotically approaches the same result.

physics.acc-ph↗

An Accurate, Simplified Model of Intrabeam Scattering

Beginning with the general Bjorken-Mtingwa solution for intrabeam scattering (IBS) we derive an accurate, greatly simplified model of IBS, valid for high energy beams in normal storage ring lattices. In addition, we show that, under the same conditions, a modified version of Piwinski's IBS formulation (where dispersion squared over beta has been replaced by the dispersion invariant) asymptotically approaches the result of Bjorken-Mtingwa.

physics.acc-ph↗

Analytic Formula for Weak Multi-Bunch Beam Break-Up in a Linac

In designing linear accelerator structures for multi-bunch applications we are often interested in estimating the effect of relatively weak multi-bunch beam break-up (BBU), due to the somewhat complicated wakefields of detuned structures. This, for example, is the case for the injector linacs of the JLC/NLC linear collider project. Deriving an analytical formula for such a problem is the subject of this report.

physics.acc-ph↗

Obtaining the Wakefield Due to Cell-to-Cell Misalignments in a Linear Accelerator Structure

A linear accelerator structure, such as will be used in the linacs of the JLC/NLC collider, is composed of on the order of 100 cells. The cells are constructed as individual cups that are brazed together to form a structure. Fabrication error will result in slight cell-to-cell misalignments along the finished structure. In this report we derive an approximation to the transverse wakefield of a structure with cell-to-cell misalignments in terms of the eigenfunctions and eigenvalues of the error-free structure.

physics.acc-ph↗

Dipole Mode Detuning in the Injector Linacs of the NLC

The injector linacs of the JLC/NLC project include the prelinac, the e+ drive linac, the $e- booster, and the $e+ booster. The first three will be S-band machines, the last one, an L-band machine. We have demonstrated that by using detuning alone in the accelerator structure design of these linacs we will have acceptable tolerances for emittance growth due to both injection jitter and structure misalignments, for both the nominal (2.8ns) and alternate (1.4ns) bunch spacings.

physics.acc-ph↗