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Title |
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| WEPSB006 |
On Modeling and Optimization of Intense Quasiperiodic Beam Dynamics |
363 |
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- I.D. Rubtsova
St. Petersburg State University, St. Petersburg, Russia
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The paper is devoted to quasiperiodic beam dynamics investigation. Particle density is modeled by trigonometric polynomial. Space charge field is represented in the similar form. This approach is applied to beam dynamics investigation in klystron-type buncher. Numerical algorithm of polynomial coefficients calculation from the positions and impulses of model particles is formalized. As a result Coulomb field intensity is expressed in the form of integral over the set of particle phase states. Integro-differential beam evolution model is presented. Analytical expression of the variation of beam dynamics quality criterion is obtained. It makes possible directed methods using for beam dynamics optimization.
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| WEPSB007 |
On Application of Monte Carlo Method for Poisson Problem Solving |
367 |
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- L.V. Vladimirova, I.D. Rubtsova
St. Petersburg State University, St. Petersburg, Russia
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The paper presents the application of random grid walk for Dirichlet problem solving for Poisson equation. Boundary value problem is discretized and reduced to the system of linear algebraic equations. The matrix of this system is used for stochastic matrix constructing. Thus, there is a possibility of Markov chains obtaining. The special random value is defined on Markov chain trajectories; this value is used for approximation of the desired solution. The advantages of this method are discussed in the paper. The algorithm is applied for electric potential calculation in the cell of support lattice of exit window in large-aperture electron accelerator.
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