CERN Document Server (European Organization for Nuclear Research) · 1982 · 11 citations · 0 references
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EngineeringElectrical EngineeringNuclear EngineeringElectromagneticsFusion EngineeringOrthographic ProjectionAccelerator PhysicsBeam AnalysisBeam TheoryBeam InteractionBeam-beam InteractionsBeam-plasma InteractionDecouplingExact DecouplingQuadrupole InteractionSkew CompensationSolenoids
A general method for analyzing solenoid compensation schemes is developed, which projects the effect of each coupling magnet, i.e. a solenoid or a rotated quadrupole, onto a common reference point.This leads to a perturbative method of solution of the exact decoupling conditions.First-order decoupling solutions are demonstrated for local solenoid, local skew-quadrupole, and remote solenoid compensation.The merits of five different schemes are compared.Theoretical and experimental evidence is presented showing how a two skew-quadrupole pair scheme can interfere destructively with the beam-beam interaction.The exact compensation of the CLEO solenoid in CESR, using three pairs of skew quadrupoles, is described.Dispersion coupling is analyzed in general.Vertical dispersion is shown to disappear outside any "straight-line" compensation scheme, and a proposal for a vertical-emittance knob at CESR is outlined.