ICAP-2002 Abstracts and Posters

ICAP 2002 Abstracts and Posters

Solving the Complex Symmetric Eigenproblem in Accelerator Structure Design

Abstract

The complex symmetric eigenproblem is of great interest to accelerator designers because the accurate calculation of mode damping is crucial to the preservation of beam emittance in accelerating structures. Wakefields due to higher-order modes generated by the beam are being damped either by internally placed lossy materials, or through extraction to external loads. We present an algorithm that solves for the complex eigenvalues and eigenvectors in realistic structures using edge based finite elements. It consists of a preconditioning step, an inexact shift-inverted Arnoldi step, and a JOCC refinement step. The parallel implementation of the algorithm and its application to practical examples will be discussed.

Yong Sun, Gene Golub and Kwok Ko

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