TE/TM scheme for computation of electromagnetic fields in accelerators

Authors:
Igor Zagorodnov;Thomas Weiland
Affiliations:
Technische Universitaet Darmstadt, Fachbereich Elektrotechnik und Informationstechnik, Institut fuer Theorie Elektromagnetischer Felder (TEMF), Schlossgartenstrasse 8, D-64289 Darmstadt, Germany;Technische Universitaet Darmstadt, Fachbereich Elektrotechnik und Informationstechnik, Institut fuer Theorie Elektromagnetischer Felder (TEMF), Schlossgartenstrasse 8, D-64289 Darmstadt, Germany
Venue:
Journal of Computational Physics
Year:
2005

Citing 2
Cited 2

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Abstract

We propose a new two-level economical conservative scheme for short-range wake field calculation in three dimensions. The scheme does not have dispersion in the longitudinal direction and is staircase free (second order convergent). Unlike the finite-difference time domain method (FDTD), it is based on a TE/TM like splitting of the field components in time. Additionally, it uses an enhanced alternating direction splitting of the transverse space operator that makes the scheme computationally as effective as the conventional FDTD method. Unlike the FDTD ADI and low-order Strang methods, the splitting error in our scheme is only of fourth order. As numerical examples show, the new scheme is much more accurate on the long-time scale than the conventional FDTD approach.