Mode matching with a phase camera for gravitational-wave detectors

Mode mismatch causes a large fraction of optical losses in gravitational-wave detectors. This effect will need to be considerably reduced in next generation detectors in order to fully exploit advanced techniques such as squeezing. Phase cameras are wavefront sensors capable of imaging the amplitude and phase of a laser beam. We simulate a measurement scheme with the phase camera and show that the two resulting error signals can be used to act on the two mismatch degrees of freedom in a closed loop.