| Paper |
Title |
Page |
| TUPPP05 |
A Space Charge Algorithm for the Bunches of Elliptical Cross Section with Arbitrary Beam Size and Particle Distribution
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106 |
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- A. Orzhekhovskaya, G. Franchetti
GSI, Darmstadt
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Algorithms of analytical and semi-analytical calculation of the electric field for the bunches of variable elliptical cross section are proposed. An arbitrary space charge distribution is fitted on the interval of consideration by the polynom of optimal order. In the case of an axisymmetric 3D ellipsoidal bunch or an arbitrary 2D elliptic cross section of the bunch the analytic solution is derived. For the bunch of variable elliptical cross section proposed method is developed to a numerical method using longitudinal grid. Tests of the field computation show high accuracy of the calculations and good agreement of the algorithms with the general theory. The methods are applied to the space charge modeling for the GSI project "Facility for Antiproton and Ion Research at Darmstadt" (FAIR), where particle loss must be calculated during long term storage, and to the code benchmarking in frame of the project "High Intensity Pulsed Proton Injector" (HIPPI).
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