An Algebraic Approach to the Evolution of Emittances upon Crossing the Linear Coupling Difference Resonance
Description:
One of the hallmarks of linear coupling is the resonant exchange of oscillation amplitude between the horizontal and vertical planes when the difference between the unperturbed tunes is close to an integer. The standard derivation of this phenomenon (known as the difference resonance) can be found, for example, in the classic papers of Guignard [1, 2]. One starts with an uncoupled lattice and adds a linear perturbation that couples the two planes. The equations of motion are expressed in hamilt…
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Date:
September 1, 2008
Creator:
Gardner,C.
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UNT Libraries Government Documents Department