Dresden 2013 – wissenschaftliches Programm
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HK: Fachverband Physik der Hadronen und Kerne
HK 51: Poster - Beschleunigerphysik
HK 51.9: Poster
Mittwoch, 6. März 2013, 16:45–19:00, HSZ 1.OG
Eigenvalue study of a chaotic resonator — •Todorka Banova1,2, Wolfgang Ackermann1, and Thomas Weiland1 — 1Technische Universität Darmstadt, Institut für Theorie Elektromagnetischer Felder (TEMF), Schlossgartenstraße 8, D-64289 Darmstadt, Germany — 2Technische Universität Darmstadt, Graduate School of Computational Engineering, Dolivostraße 15, D-64293 Darmstadt, Germany
The field of quantum chaos comprises the study of the manifestations of classical chaos in the properties of the corresponding quantum systems. Within this work, we compute the eigenfrequencies that are needed for the level spacing analysis of a microwave resonator with chaotic characteristics. The major challenges posed by our work are: first, the ability of the approaches to tackle the large scale eigenvalue problem and second, the capability to extract many, i.e. order of thousands, eigenfrequencies for the considered cavity. The first proposed approach for an accurate eigenfrequency extraction takes into consideration the evaluated electric field computations in time domain of a superconducting cavity and by means of signal-processing techniques extracts the eigenfrequencies. The second approach is based on the finite element method with curvilinear elements, which transforms the continuous eigenvalue problem to a discrete generalized eigenvalue problem. Afterwards, the Lanczos algorithm is used for the solution of the generalized eigenvalue problem. In the poster, a summary of the applied algorithms, as well as, critical implementation details together with the simulation results will be provided.