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    Searching systematically for coupling of laser and phase-modulation noise in heterodyne interferometry

    Kohei Yamamoto1,2,3,*, Olaf Hartwig4,5, Lennart Wissel4,5, Holly Leopardi2, Kenji Numata2, and Ryan Derosa2

    • *Contact author: y9m9k0h@gmail.com

    Phys. Rev. Applied 25, 064036 – Published 9 June, 2026

    DOI: https://doi.org/10.1103/twr3-8yld

    Abstract

    Heterodyne interferometry for precision science often comes with an optical phase modulation, for example, for intersatellite clock noise transfer for gravitational-wave (GW) detectors in space, exemplified by the Laser Interferometer Space Antenna (LISA). The phase modulation potentially causes various noise couplings to the final phase extraction of heterodyne beatnotes by a phasemeter. In this paper, in the format of space-based GW detectors, we establish an analytical framework to systematically search for the coupling of various noises from the heterodyne and modulation frequency bands, which are relatively unexplored so far. In addition to the noise caused by the phase modulation, the high-frequency laser phase noise is also discussed in the same framework. The analytical result is also compared with a numerical experiment to confirm that our framework successfully captures the major noise couplings. We also demonstrate a use case of this study by taking the LISA-like parameters as an example, which enables us to derive requirements on the level of the laser and phase-modulation noises in the high-frequency regimes.

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