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The response of Michelson interferometers to weak plane gravitational wavesis computed at one order of accuracy beyond the eikonal equation. Themodulation of the electromagnetic field amplitude and polarisation are takeninto account by solving the transport equations of geometrical optics withboundary conditions adapted to laser interferometry. Considering both DC andbalanced homodyne readout schemes, explicit formulae for the interferometeroutput signals are derived. These signals comprise perturbations of the opticalpath length, frequency and amplitude, and are shown to be insensitive topolarisation perturbations.

The Response of Laser Interferometric Gravitational Wave Detectors Beyond the Eikonal Equation