Limits to the measurement of displacement in an interferometric gravitational radiation detector

Physics

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Displacement Measurement, Gravitational Wave Antennas, Interferometry, Radiation Detectors, Gravitational Waves, Michelson Interferometers, Photons, Radiation Pressure

Scientific paper

A numerical technique is developed to evaluate the measurement sensitivity of an interferometric gravitational radiation detector. Interferometer sensitivity is discussed on the basis of an idealized Michelson interferometer and two noise sources in the optical system are identified: fluctuations in the number of photons detected, and fluctuations in the radiation pressure acting on the masses. The minimum observable differential displacement of the test masses is found by the uncertainty principle and the effects of mass recoil are noted.

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