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Bulyak, E. V.
Study of the synchrotron dynamics in Compton X-ray ring [Text] !Otitkn.pft: FILE NOT FOUND! !oizd.pft: FILE NOT FOUND! !ospec.pft: FILE NOT FOUND! !oistaspk_H.pft: FILE NOT FOUND! Рубрикатор НБУВ: Тематичні рубрики:
Шифр журнала:
Анотація: Within the bounds of a model of the electron storage ring that consist only of a drift and a radio-frequency cavity, the longitudinal dynamics of electron bunches with large energy spread is considered. Under consideration, the model of the storage ring with small momentum compaction factor is sufficiently nonlinear. The finite-difference equations and differential equations of motion in the canonical form are derived for this model. Based on the differential model, topology of the longitudinal phase space and its modifications due to changes in the ring parameters is considered. The analytical expression for the factor, which determined the topology of the longitudinal phase space, was derived. The response of equilibrium area upon changes of the nonlinear momentum compaction factor is presented. It is show that enlargement of the energy acceptance of the ring by decreasing of the momentum compaction factor is limited with the nonlinearity in the compaction factor. Decreasing of the linear compaction factor below the certain limit causes the reversed effect - decreasing of the acceptance. Comparative analysis of the finite-difference and differential models is made by means of computational simulations. The results of simulation manifest a good agreement with the theoretical predictions on the sizes and the positions of equilibrium areas. !oprip481_H.pft: FILE NOT FOUND!
Дод. точки доступу:
Gladkikh, P. I.; Skomorokhov, V. V.
Видання зберігається у :
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