Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-09-04
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages, 3 figures There are some new results and a simpler presentation 8 pages, 3 figures There are some new results and a s
Scientific paper
An incoming gravity wave being a stress wave is a surface with intrinsic curvature. When a light beam is parallel transported on this non-Euclidian surface it acquires an excess phase which accumulates with each curcuit. We calculate the separate contributions to excess phase from the wave geometry as well as the dynamic response of mirrors in a Michelson interferometer. Using these results and a combination of analogue and digital signal processing techniques we show how a compact interferometer can be made sensitive to gravity waves of amplitude density 10^-23/√(Hz) within a frequency range 10^-Hz to 10^4Hz. As an example we describe a 10cm Michelson interferometer designed to measure gravity waves from sources as far as the Virgo cluster. An incoming gravity wave being a stress wave is a surface with intrinsic curvature. When a light beam is parallel transported on this non-Euclidian surface it acquires an excess phase which accumulates with each curcuit. We calculate the separate contributions to excess phase from the wave geometry as well as the dynamic response of mirrors in a Michelson interferometer. Using these results and a combination of analogue and digital signal processing techniques we show how a compact interferometer can be made sensitive to gravity waves of amplitude density 10^-23/√(Hz) within a frequency range 10^-Hz to 10^4Hz. As an example we describe a 10cm Michelson interferometer designed to measure gravity waves from sources as far as the Virgo cluster.
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