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The interaction of a gravitational wave with a system made of an RLC circuitforming one end of a mechanical harmonic oscillator is investigated. We showthat, in some configurations, the coherent interaction of the wave with boththe mechanical oscillator and the RLC circuit gives rise to a mechanicalquality factor increase of the electromagnetic signal. When this system is usedas an amplifier of gravitational periodic signals in the frequency range50-1000 Hz, at ultracryogenic temperatures and for sufficiently longintegration times (up to 4 months), a sensitivity of 10^(-24)-10^(-27) on theamplitude of the metric could be achieved when thermal noise, shot noise andamplifier back--action are considered.Comment: RevTeX, 8 pages plus 2 postscript figures; widely revised text; noise  analisys enhanced. Approved for publication in Phys. Rev.

Coherent interaction of a monochromatic gravitational wave with both elastic bodies and electromagnetic circuits