Detection of spurious modes in resonance mode computations: pole condition method
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2012
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| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis |
| Item Description: | Nebentitel: Erkennen von unphysikalischen Lösungen beim Berechnen von Resonanzen |
| Physical Description: | IV, 121 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Detection of spurious modes in resonance mode computations |b pole condition method |
| 246 | 1 | 3 | |a Erkennen von unphysikalischen Lösungen beim Berechnen von Resonanzen |
| 264 | 1 | |c 2012 | |
| 300 | |a IV, 121 S. |b Ill., graph. Darst. | ||
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| 500 | |a Nebentitel: Erkennen von unphysikalischen Lösungen beim Berechnen von Resonanzen | ||
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Record in the Search Index
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| adam_text | IMAGE 1
CONTENTS
1 I N T R O D U C T I O N 1
2 H E L M H O L T Z R E S O N A N C E P R O B L E M S 3
2.1 T H E HELMHOLTZ EQUATION 3
2.2 RESONANCE PROBLEMS 8
2.3 TRANSPARENT BOUNDARY CONDITIONS 11
3 P O L E C O N D I T I O N A N D I M P L E M E N T A T I O N 1 5
3.1 DERIVATION: T H E POLE CONDITION IN I D 16
3.2 FORMALIZATION 18
3.3 IMPLEMENTATION 23
3.4 ALTERNATIVE APPROACH 31
3.5 GENERALIZATION T O HIGHER SPACE DIMENSIONS 33
4 S P U R I O U S S O L U T I O N S 4 3
4.1 SPURIOUS SOLUTIONS IN CLOSED CAVITIES 44
4.2 SPURIOUS SOLUTIONS IN O P E N RESONATORS 46
5 D E T E C T I N G S P U R I O U S S O L U T I O N S 5 7
5.1 GENERALIZED EIGENVALUE PROBLEMS 58
5.2 USE A N D LIMITATIONS OF CONDITION N U M B E R S 67
5.3 E X A C T PERTURBATION 78
5.4 CONVERGENCE MONITOR 86
5.5 REMOVING SPURIOUS SOLUTIONS 101
6 S U M M A R Y A N D O U T L O O K 1 0 5
7 Z U S A M M E N F A S S U N G 1 1 1
B I B L I O G R A P H Y 1 1 3
HTTP://D-NB.INFO/1026891396
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| author | Kettner, Benjamin |
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| dewey-full | 510 535 534 518 |
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| dewey-ones | 510 - Mathematics 535 - Light and related radiation 534 - Sound and related vibrations 518 - Numerical analysis |
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| dewey-tens | 510 - Mathematics 530 - Physics |
| discipline | Physik Mathematik |
| format | Thesis Book |
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| spelling | Kettner, Benjamin Verfasser (DE-588)102431989X aut Detection of spurious modes in resonance mode computations pole condition method Erkennen von unphysikalischen Lösungen beim Berechnen von Resonanzen 2012 IV, 121 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nebentitel: Erkennen von unphysikalischen Lösungen beim Berechnen von Resonanzen Berlin, Freie Univ., Diss., 2012 (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:kobv:188-fudissthesis000000038256-7 http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000038256 kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025171748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kettner, Benjamin Detection of spurious modes in resonance mode computations pole condition method |
| subject_GND | (DE-588)4113937-9 |
| title | Detection of spurious modes in resonance mode computations pole condition method |
| title_alt | Erkennen von unphysikalischen Lösungen beim Berechnen von Resonanzen |
| title_auth | Detection of spurious modes in resonance mode computations pole condition method |
| title_exact_search | Detection of spurious modes in resonance mode computations pole condition method |
| title_full | Detection of spurious modes in resonance mode computations pole condition method |
| title_fullStr | Detection of spurious modes in resonance mode computations pole condition method |
| title_full_unstemmed | Detection of spurious modes in resonance mode computations pole condition method |
| title_short | Detection of spurious modes in resonance mode computations |
| title_sort | detection of spurious modes in resonance mode computations pole condition method |
| title_sub | pole condition method |
| topic_facet | Hochschulschrift |
| url | http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000038256 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025171748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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