Tolerance of dual recycling laser interferometric gravitational wave detectors to mirror tilt and curvature errors

Various configurations of dual recycling laser interferometers are tested, numerically, for their tolerance to wave-front distortions induced by mirror tilts and curvature mismatch. We verify that, in the presence of such geometric imperfections, dual recycling designs experience significantly less power loss than straight power recycling devices. Importantly, we show that the power loss reduction from the detection port is accompanied by maintenance of circulating power in the instrument and hence maintenance of signal response. We confirm predictions that when a cavity is placed at the output port of the interferometer, tolerance to geometric imperfections is further improved by typically an order of magnitude.