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| MOPL009 |
Analytical Approach for Achromatic Structure Study and Design |
203 |
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- H.Y. Barminova
MEPhI, Moscow, Russia
- A.S. Chikhachev
Allrussian Electrotechnical Institute, Moskow, Russia
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The analytical approach is proposed to study the various achromatic structures. The method is based on the self-consistent time-dependent models, which allow to describe the dynamics of both continuous and bunched beam in external magnetic fields. The fully kinetic models are implemented in this approach. The kinetic distribution functions dependent on the motion integrals allow to obtain accurate Vlasov equation solutions as KV-model does it. The method allows to solve the envelope equation both analytically and by ODE system numerical integration, and to predict the beam phase portrait behavior in magnetic fields of the structure. The advantages of the method are the possibility of easy scaling and the wide physical generality, which is important for the multi-parameter problem of the high-intensity high-brightness beam formation. The results of the method application for the bending magnets and the quadrupoles are presented.
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