Time domain analysis of a one-dimensional resonator with application to the gravitational antenna

Physics

Scientific paper

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Cavity Resonators, Gravitational Waves, Spectrum Analysis, Time Series Analysis, Transfer Functions, Antennas, Correlation, Laplace Transformation, Signal To Noise Ratios, Transmission Lines

Scientific paper

The electromechanical Maxwell analogy is discussed that relates the behavior of the antenna with that of an electrical line. It is shown in particular how the force-strain characteristic of the antenna can be derived from the floating voltage-to-voltage characteristic of the line. From the impulsive response obtained with time domain considerations, the transfer function of the antenna was obtained by Laplace transformation, and an explicit expression is given for the overall transfer function from the gravitational wave to the strain. The one-dimensional analysis allows the distributed properties of the antenna to be exploited. Multiple sensors placed in different locations on the antenna allow it to be used as a spectrum analyzer and with correlation methods for increasing the signal to noise ratio.

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