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Published February 2004 | public
Journal Article Open

Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity

Abstract

We develop an analytical approach in order to understand the causes of sidebands imbalance. The results have been tested by two different and more sophisticated numerical tools. The main static perturbations that can generate sidebands imbalance are described and fully analyzed, with a special attention to the design of the Laser Interferometer Gravitational Wave Observatory I, whose typical parameters have been used for numerical estimations of this phenomenon.

Additional Information

© 2004 Optical Society of America Received December 9, 2002; revised manuscript received August 1, 2003; accepted September 29, 2003 We thank Stanley E. Whitcomb for suggesting the problem that led us into this research project and Ray Beausoleil for discussions of some numerical results. This paper was supported by the National Science Foundation under cooperative agreement PHY-9210038.

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August 22, 2023
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