The mathematical theory of resonant transducers in a spherical gravity wave antenna

The rigoruos mathematical theory of the coupling and response of a spherical gravitational wave detector endowed with a set of resonant transducers is presented and developed. A perturbative series in ascending powers of the square root of the ratio of the resonator to the sphere mass is seen to be...

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Bibliographic Details
Published in:arXiv.org 2000-06
Main Author: Lobo, J Alberto
Format: Article
Language:English
Subjects:
Frequency spectrum
Gravitation theory
Gravitational waves
Gravity waves
Mathematical analysis
Spherical antennas
Spherical waves
Transducers
Online Access:Get full text
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Summary:The rigoruos mathematical theory of the coupling and response of a spherical gravitational wave detector endowed with a set of resonant transducers is presented and developed. A perturbative series in ascending powers of the square root of the ratio of the resonator to the sphere mass is seen to be the key to the solution of the problem. General layouts of arbitrary numbers of transducers can be assessed, and a specific proposal (PHC), alternative to the highly symmetric TIGA of Merkowitz and Johnson, is described in detail. Frequency spectra of the coupled system are seen to be theoretically recovered in full agreement with experimental determinations.
ISSN:2331-8422
DOI:10.48550/arxiv.0006109