[OPTICAL REVIEW Vol. 5, No. 4 (1998) 247-251]

Digital Filtering Approach to Fast Simulation for Interferometric Gravitational Wave Detectors of Ring-Cavity Sagnac Topology


TAMA Project, National Astronomical Observatory, 2-21-1 Osawa, Mitaka, Tokyo, 181 Japan

(Received May 31, 1998; Accepted June 9, 1998)

A digital filtering approach to fast simulation for interferometric gravitational wave detectors of Michelson topology involving dynamical coupled cavities was developed in a recent paper. The present paper describes its application to detectors which might be of Sagnac topology with ring-cavities in arms and thus would be characterised by a different and more complicated nature of coupling among fields in various constituent cavities. The simulation results show that digital filtering approach is successful in developing a fast and reasonably accurate algorithm for the computation of dynamical evolution of fields in such a detector.

Key words : simulation, Sagnac interferometer, gravitational wave, coupled cavities, dynamical cavities