Diagonalization of the length sensing matrix of a dual recycled laser interferometer gravitational wave antenna

Sato, Shuichi, Kawamura, Seiji, Kokeyama, Keiko ORCID: https://orcid.org/0000-0002-2896-1992, Kawazoe, Fumiko and Somiya, Kentaro 2007. Diagonalization of the length sensing matrix of a dual recycled laser interferometer gravitational wave antenna. Physical Review D - Particles, Fields, Gravitation and Cosmology 75 (8) , 082004. 10.1103/PhysRevD.75.082004

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Abstract

Next generation gravitational wave antennas employ resonant sideband extraction (RSE) interferometers with Fabry-Perot cavities in the arms as an optical configuration. In order to realize stable, robust control of the detector system, it is a key issue to extract appropriate control signals for longitudinal degrees of freedom of the complex coupled-cavity system. In this paper, a novel length sensing and control scheme is proposed for the tuned RSE interferometer that is both simple and efficient. The sensing matrix can be well diagonalized, owing to a simple allocation of two rf modulations and to a macroscopic displacement of the cavity mirrors, which cause a detuning of the rf modulation sidebands.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Publisher:	American Physical Society
ISSN:	1550-7998
Date of First Compliant Deposit:	19 March 2021
Date of Acceptance:	18 October 2006
Last Modified:	02 May 2023 15:39
URI:	https://orca.cardiff.ac.uk/id/eprint/139940

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