| DATE: |
2005-01-20 13:30 - 15:30 |
| PLACE: |
Building 2, No.203 |
| TITLE: |
Accelerator Physics Seminar [ An Adaptive Space Charge Algorithm for Three-Dimensional RMS Beam Envelope Simulation ] |
| CONTACT: |
kazuro.furukawa kek.jp |
| SPEAKER: |
Dr.Christopher K.Allen (Los Alamos National Laboratory) |
| LANGUAGE: |
English |
| ABSTRACT: |
We discuss an algorithm for treating the first-order effects of space charge in bunched beam RMS envelope simulation. The envelope simulation is assumed to be of the type employed by TRACE3D or TRANSPORT. Specifically, transfer matrices are used to propagate the Courant-Snyder parameters along the beamline. Thus, to include space charge effects we must determine a transfer matrix representing the dynamics caused by the self electric fields. We describe how this matrix is computed and, consequently, is employed in the dynamics calculations. Because the space charge matrices depend upon the Courant-Snyder parameters, and the Courant-Snyder parameters in turn depend upon the space charge matrices, we are also faced with some self-consistency issues. To circumvent this problem we present an adaptive technique for applying the space charge matrices that maintains a specified level of accuracy. |
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