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| TUPAN084 |
Using Smooth Approximation for Beam Dynamics Investigation in Superconducting Linac
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1568 |
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- E. S. Masunov, A. V. Samoshin
MEPhI, Moscow
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The superconducting linac consists of some different classes of the identical cavities. The each cavity based on a superconducting structure with a high accelerating gradient. The distance between the cavities is equal to acceleration structure period L. By specific phasing of the RF cavities one can provide a stable particle motion in the whole accelerator. The ion dynamics in such periodic structure is complicated. The reference particle coordinate and momentum can be represented as a sum of a smooth motion term and a fast oscillation term, a period of which is equal to L. Three dimensional equation of motion for ion beam in the Hamiltonian form is derived in the smooth approximation for superconducting linac. The longitudinal acceptance and maximum energy width in a bunch are found by means of the effective potential function. The general conditions applicability of a smooth approximation to given electrodynamic problem is formulated. The nonlinear ion beam dynamics is investigated in such accelerated structure.
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