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Computation of lossy higher order modes in complex SRF cavities using Beyn’s and Newton’s methods on reduced order models

Hermann W. Pommerenke

http://orcid.org/0000-0001-8137-3797

Institute of General Electrical Engineering, University of Rostock, Rostock, D-18051, Germany

E-mail Address: hermann.pommerenke@uni-rostock.de

Corresponding author

Currently also at CERN, Geneva, Switzerland.

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Johann D. Heller

Institute of General Electrical Engineering, University of Rostock, Rostock, D-18051, Germany

E-mail Address: johann.heller@protonmail.ch

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Shahnam Gorgi Zadeh

Institute of General Electrical Engineering, University of Rostock, Rostock, D-18051, Germany

E-mail Address: shahnam.zadeh@uni-rostock.de

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, and

Ursula van Rienen

Institute of General Electrical Engineering, University of Rostock, Rostock, D-18051, Germany

E-mail Address: ursula.van-rienen@uni-rostock.de

Also at Department Life, Light & Matter, University of Rostock, Rostock, D-18051, Germany.

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https://doi.org/10.1142/S0217751X19420375Cited by:0 (Source: Crossref)

This article is part of the issue:

Special Issue — Charged Particle Optics and Computational Accelerator Physics (CPO-10/ICAP’18)
Guest Editors: Martin Berz and Kyoko Makino

Abstract

Superconducting radio frequency cavities meet the demanding performance requirements of modern accelerators and high-brilliance light sources. Their design requires a precise knowledge of their electromagnetic resonances. A numerical solution of Maxwell’s equations is required to compute the resonant eigenmodes, their frequencies and losses due to the complex cavity shape. The consideration of resonances damped by external losses leads to a nonlinear eigenvalue problem. Previous work showed that, using State-Space Concatenation to construct a reduced order model and Newton iteration to solve the arising eigenvalue problem, solutions can be obtained on workstation computers even for large-scale problems without extensive simplification of the structure itself. In this paper, we augment the solution workflow by Beyn’s contour integral algorithm to increase the number of found eigenmodes. Numerical experiments are presented for one academic and two real-life superconducting cavities and partially compared to measurements.

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Vol. 34, No. 36

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History

Received 27 February 2019

Revised 2 May 2019

Accepted 3 May 2019

Published: 11 December 2019

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This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Computation of lossy higher order modes in complex SRF cavities using Beyn’s and Newton’s methods on reduced order models

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