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Mismatch Oscillations in High Current Accelerators.

DE2005859933

Publication Date	2005
Personal Author	Andersen, O. A.
Page Count	16
Abstract	When planning the design of high-current FODO transport for accelerators, it is useful to have simple, accurate tools for calculating quantities such as the phase advances (sigma)(sub 0) and (sigma) given the lattice and beam parameters. Along with the KV beam model, the smooth approximation is often used. It is simple but not very accurate in many cases. Although Struckmeier and Reiser showed that the stable oscillation frequencies of mismatched beams could be obtained accurately, they actually used a hybrid approach where (sigma)(sub 0) and (sigma) were already known precisely. When starting instead with basic quantities such as quadrupole dimensions, field strength, beam line charge density and emittance, the smooth approximation gives substantial errors. Here we derive a simple modification of the smooth approximation formula that improves the accuracy of the predicted frequencies by a factor of five at (sigma)(sub 0) = 83(sup o).
Keywords	Accelerators Oscillations Approximation Quadrupoles Charge density Emittance
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Lawrence Berkeley National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200612

Mismatch Oscillations in High Current Accelerators.

Mismatch Oscillations in High Current Accelerators.
DE2005859933

Publication Date	2005
Personal Author	Andersen, O. A.
Page Count	16
Abstract	When planning the design of high-current FODO transport for accelerators, it is useful to have simple, accurate tools for calculating quantities such as the phase advances (sigma)(sub 0) and (sigma) given the lattice and beam parameters. Along with the KV beam model, the smooth approximation is often used. It is simple but not very accurate in many cases. Although Struckmeier and Reiser showed that the stable oscillation frequencies of mismatched beams could be obtained accurately, they actually used a hybrid approach where (sigma)(sub 0) and (sigma) were already known precisely. When starting instead with basic quantities such as quadrupole dimensions, field strength, beam line charge density and emittance, the smooth approximation gives substantial errors. Here we derive a simple modification of the smooth approximation formula that improves the accuracy of the predicted frequencies by a factor of five at (sigma)(sub 0) = 83(sup o).
Keywords	Accelerators Oscillations Approximation Quadrupoles Charge density Emittance
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Lawrence Berkeley National Lab., CA.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200612