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The detectors of the laser interferometer gravitational-wave observatory(LIGO) are broadly limited by the quantum noise and rely on the injection ofsqueezed states of light to achieve their full sensitivity. Squeezingimprovement is limited by mode mismatch between the elements of the squeezerand the interferometer. In the current LIGO detectors, there is no way toactively mitigate this mode mismatch. This paper presents a new deformablemirror for wavefront control that meets the active mode matching requirementsof advanced LIGO. The active element is a piezo-electric transducer, whichactuates on the radius of curvature of a 5 mm thick mirror via an axisymmetricflexure. The operating range of the deformable mirror is 120+-8 mD in vacuum,with an additional 200 mD adjustment range accessible out of vacuum. Thescattering into higher-order modes is measured to be <0.2% over the nominalbeam radius. These piezo-deformable mirrors meet the stringent noise and vacuumrequirements of advanced LIGO and will be used for the next observing run (O4)to control the mode-matching between the squeezer and the interferometer.

Piezo-deformable Mirrors for Active Mode Matching in Advanced LIGO