Double Michelson/Fabry-Perot interferometer for laser- and displacement-noise-free gravitational-wave detection
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In this paper we demonstrate that a double Michelson interferometer with Fabry-Perot cavities in its arms is able to perform laser- and displacement-noise-free gravitational-wave (GW) detection if certain model assumptions are met. Assuming the input mirrors of a single Michelson/Fabry-Perot interferometer can be rigidly attached to beamsplitter on a central platform one can manipulate with interferometer's response signals in a way to cancel laser noise and displacement noise of all test masses except the cental platform. A pair of symmetrically positioned Michelson/Fabry-Perot interferometers with common central platform can be made insusceptible to the later then, thus allowing complete laser- and displacement-noise-free interferometry (DFI). It is demonstrated that the DFI response to GWs of the proposed interferometer is proportional to $f^2_{\textrm{gw}}/γ$, where $γ$ is the cavity half-bandwidth, that is the strongest DFI response allowed by general relativity.
12 pages, 4 figures
12 pages, 4 figures