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Present gravitational wave detectors are based on the measurement of lineardisplacement in stable optical cavities. Here, we instead suggest themeasurement of the twist of a chiral mechanical element induced by agravitational wave. The induced twist rotates a flat optical mirror on top ofthis chiral element, leading to the deflection of an incident laser beam. Thisangle change is enhanced by multiple bounces of light between the rotatingmirror and an originally parallel nearby fixed flat mirror. Based on detailedcontinuum-mechanics calculations, we present a feasible design for the chiralmechanical element including the rotating mirror. Our approach is most usefulfor signals in the frequency band 1 -- 100 kHz where we show that fundamentalmetrological limits would allow for smaller shot noise in this setup incomparison to the detection of linear displacement. We estimate a gravitationalwave strain sensitivity between 10^{-21}/\sqrt{Hz} and 10^{-23}/\sqrt{Hz} ataround 10 kHz frequency. When appropriately scaling the involved geometricalparameters, the strain sensitivity is proportional to frequency.

High-Frequency Gravitational-Wave Detection Using a Chiral Resonant Mechanical Element and a Short Unstable Optical Cavity