Nonstationary shot noise and its effect on the sensitivity of interferometers

Physics

Scientific paper

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Gravitational Wave Antennas, Interferometers, Noise Spectra, Phase Modulation, Shot Noise, Laser Interferometry, Random Processes, Signal To Noise Ratios

Scientific paper

The shot noise of a light source modulated in power as a nonstationary random process is treated. The spectrum of such modulated shot noise, although it is still white, is shown to contain correlations between different frequency components. In addition, the noise is not equally distributed in phase. These effects can deteriorate the shot-noise-limited sensitivity of modulated interferometers. Maximizing the SNR introduces constraints on both the modulation and demodulation waveforms. The sensitivities obtained with several commonly used modulation schemes are calculated, and new modulation strategies are proposed to realize good SNR. The results are applied to the case of laser interferometer gravitational wave detectors, where it is essential to reach a shot-noise-limited sensitivity. By taking into account the additional noise contribution from the modulated shot noise, the 3-dB discrepancy between the measured sensitivity of the Garching prototype detector and the theoretical shot-noise limit is reduced to about 1.5 dB.

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