Paper |
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TUPSA14 |
Mathematical Optimization Model of Longitudinal Beam Dynamics in Klystron-Type Buncher |
66 |
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- I.D. Rubtsova
St. Petersburg State University, St. Petersburg, Russia
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The paper presents recurrent integral-differential beam evolution model. This model is convenient for mathematical description of specific dynamic processes with due account of particle interaction and electric fields excitation by moving beam. On the basis of this model the problem of beam dynamics optimization is formalized as trajectory ensemble control problem. Analytical expression for quality functional gradient is obtained. Theoretical results are applied for solving problem of beam dynamics optimization in klystron-type buncher.
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