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We propose two Fabry-Perot cavities, each pumped through both the mirrors,positioned in line as a toy model of the gravitational-wave (GW) detector freefrom displacement noise of the test masses. It is demonstrated that thedisplacement noise of cavity mirrors as well as laser noise can be completelyexcluded in a proper linear combination of the cavities output signals. We showthat in low-frequency approximation (gravitational wave length$\lambda-\text{gw}$ is much greater than distance $L$ between mirrors$\lambda_\text{gw}\gg L$) the decrease of response signal is about$(L/\lambda_\text{gw})^2$, i.e. signal is stronger than the one of theinterferometer recently proposed by S. Kawamura and Y. Chen.

Displacement- and laser-noise-free gravitational-wave detection with two Fabry-Perot cavities