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

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Gravitational Wave Detectors And Experiments, Resonators, Cavities, Amplifiers, Arrays, And Rings, Gravitational Radiation Detectors, Mass Spectrometers, And Other Instrumentation And Techniques

Scientific paper

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.

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