Computer Science
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..719e&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Aug. 1985, p. 719-724. NASA-supported research.
Computer Science
19
Doppler Effect, Frequency Response, Gravitational Wave Antennas, Interferometers, Polarized Radiation, Difference Equations, Elliptical Polarization
Scientific paper
The work of Gursel, Linsay, Spero, Saulson, Whitcomb and Weiss (1984) on the response of a free-mass interferometric antenna is extended. Starting from first principles, the earlier work derived the response of a 2-arm gravitational wave antenna to plane polarized gravitational waves. Equivalent formulas (generalized slightly to allow for arbitrary elliptical polarization) are obtained by a simple differencing of the '3-pulse' Doppler response functions of two 1-arm antennas. A '4-pulse' response function is found, with quite complicated angular dependences for arbitrary incident polarization. The differencing method can as readily be used to write exact response functions ('3n+1 pulse') for antennas having multiple passes or more arms.
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