Theory of Gravitational Interactions by Maurizio Gasperini

Author:Maurizio Gasperini
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

(9.97)

The maximum response is obtained, in this case, when the wave frequency coincides with the proper frequency of the oscillating masses, . In this “resonant” regime the solution becomes

(9.98)

In the resonant regime, the appropriate variable for a precise characterization of the detector efficiency is the so-called “cross section” , defined as the power dissipated by the system with respect to the energy flux of the incident radiation. For the oscillator we are considering the power loss is given by , where is the kinetic energy of the two vibrating masses, excited by the action of the wave. The energy flux of the polarized wave (9.92), propagating along the axis, is obtained by the energy-momentum tensor (9.50), and found to be:

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