Paper |
Title |
Page |
TUPSA013 |
Investigation of a Second Order Method of RFQ Channel Optimization |
240 |
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- O.I. Drivotin
St. Petersburg State University, St. Petersburg, Russia
- D.A. Starikov
Saint Petersburg State University, Saint Petersburg, Russia
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This report is devoted to a numerical method of solution of the RFQ structure optimization problem. The problem is considered as a control theory problem. Control functions representing geometry of the electrodes and a quality functional describing the beam are introduced. To solve the problem numerically these control functions are parametrized. The presented method is based on the computation of the derivatives of the first and the second order of the quality functional on the parameters. Results of investigation of efficiency of the method relatively to a method including computation of the derivatives only of the first order are presented.
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TUPSA014 |
A Simple Model for Electromagnetic Field in RFQ Channel |
244 |
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- O.I. Drivotin, I.T. Dulatov
St. Petersburg State University, St. Petersburg, Russia
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Numerical solution of the RFQ structure optimization problem requires a great amount of computation. Each consecutive step of the numerical optimization includes modification of geometry of the channel and computation of electromagnetic field for modified geometry. Therefore, a simple model describing the field in the channel is needed for the optimization. Such model is proposed in this report. It differs from the commonly used traditional model of the field, which can be applied when profiles of the vanes are described by the harmonic functions of the longitudinal coordinate. Our model is more general and can be applied for arbitrary profiles of the vanes.
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WEPSB020 |
On a New Approach for Description of Self-Consistent Distributions for a Charged Particle Beam |
407 |
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- O.I. Drivotin, D.A. Ovsyannikov
St. Petersburg State University, St. Petersburg, Russia
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The present report is concerned with the problem of particle phase space distributions for a charged particle beam. A new approach is presented. It provides the possibility to specify various coordinates in the phase space. The main attention has been focused on the case where motion integrals are taken as phase coordinates. Using such coordinates, one can obtain a lot of self-consistent distributions. Some distributions for a breathing beam are considered as examples: generalized Brillouin flow, generalized KV distribution, and others. Besides, this approach allows simple graphical representation of various self-consistent distributions.
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