Time-delay interferometry infinity for tilt-to-length noise estimation in LISA

Abstract The Laser Interferometer Space Antenna (LISA) mission is a space-borne observatory designed to detect and characterize gravitational wave sources inaccessible ground-based detectors. relies on laser interferometry measure changes in space-time. In this context, non-avoidable noise within the LISA system, including tilt-to-length (TTL) coupling, reduce detector’s resolution complicate achieving mission’s goals unless appropriate mitigation strategies are implemented. This paper applies time-delay infinity (TDI- ∞ ) for TTL estimation assesses its suitability from perspective of system identification calibration first time. recently published TDI- concept indicates different frequency response measurement band compared standard methodology TDI second-generation. Our main contribution demonstrating advantages algorithm interferometer constellations. Specifically, we show that improves performance due behavior while requiring less computation reduction computational effort afforded by could accelerate availability calibrated data astrophysical analysis if required science community. improvement underscores concept’s potential enhance sensitivity further.