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Journal Article

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

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Kawazoe,  Fumiko
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons40497

Somiya,  Kentaro
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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prd082004.pdf
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Citation

Sato, S., Kawamura, S., Kokeyama, K., Kawazoe, F., & Somiya, K. (2007). Diagonalization of the length sensing matrix of a dual recycled laser interferometer gravitational wave antenna. Physical Review D, 75: 082004. Retrieved from http://link.aps.org/abstract/PRD/v75/e082004.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-49A8-B
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.