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High order calculation of the multipole content of three dimensional electrostatic geometries

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3 Author(s)
Berz, M. ; Lawrence Berkeley Lab., California Univ., CA, USA ; Fawley, W.M. ; Kyoung Hahn

An accurate and simple method is presented for 3-D multipole decomposition of the field of arbitrary electrode geometries. The induced charge on the surface is obtained by inverting the capacity matrix. The multipole moment decomposition of the resulting potential is readily accomplished using differential algebra methodology. The method is applied to the focusing lattice geometry of the MBE-4 accelerator at Lawrence Berkeley Laboratory. Multipole terms of up to the order 5 are computed, and a numerical accuracy of <1% is obtained. The effective quadrupole and dodecapole field strengths are in good agreement with previous results.<>

Published in:

Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE

Date of Conference:

6-9 May 1991