Gaussian-spindle gravitational wave antenna and single-antenna anticoincidence experiments

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Abstract
The stretching modes of a long, thin Gaussian spindle are calculated and compared with those of a long, thin cylinder. The cross sections of these modes for gravitational radiation are calculated and compared. It is found that the fundamental mode of the spindle has between 1.2 and 1.6 times the cross section of the fundamental mode of a comparable cylinder, depending on how the comparison is made. The frequencies of the spindle stretch modes are proportional to the square root of the mode number and only the fundamental mode couples to gravitational waves. This behavior makes the spindle particularly useful for a single-antenna anticoincidence experiment which looks for excitations of the fundamental mode that are not in coincidence with excitations of higher modes. Such an experiment should be quite effective at rejecting nonthermal noise and demonstrating the presence of gravitational waves.

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