Intersatellite clock synchronization and absolute ranging for gravitational wave detection in space

Abstract

The Laser Interferometer Space Antenna (LISA) is a European Space Agency (ESA) large-scale space mission, aiming to detect gravitational waves (GWs) in the observation band of 0.1mHz to 1Hz. The constellation is formed by three spacecrafts (SCs), exchanging laser beams with each other. The detector adopts heterodyne interferometry with MHz frequency offsets. GW signals are then encoded in optical beatnote phases, and the phase information has to be extracted by a core device called phasemeter (PM). Unequal and time- varying orbital motions introduce an overwhelming laser noise coupling that impedes the LISA performance levels of 10 ucycle/sqrt(Hz). Thereby, the post-processing technique called time-delay interferometry (TDI) time-shifts phase signals to synthesize virtual equal-arm interferometers. TDI requires absolute-ranging information, as its input, to the accuracy of 1 m rms, which will be provided by monitors like pseudo-random noise ranging (PRNR) and time-delay interferometry ranging (TDIR). An additional challenge is independent clocks on each SC that time-stamp PM data. This, alongside TDI, requires the synchronization of the onboard clocks in post-processing. This thesis reports on the experimental demonstrations of such key components for LISA. This is done by extending the scope of the hexagonal optical testbed at the Albert Einstein Institute (AEI): the "Hexagon". The first part of the thesis focuses on clock synchronization, utilizing the TDIR-like algorithm. With representative technologies both in devices and data analysis, this shows a new benchmark performance of LISA clock synchronization, achieving a 1 ucycle/sqrt(Hz) mark above 60 mHz and a TDIR accuracy of 1.84 m in range. This part also includes the first-ever verification of three noise couplings stemming from TDI and clock synchronization in an optical experiment. The second part of the thesis evolves the Hexagon further with PRNR. It commences with a review of the latest development using a transmission/reception loopback on a single hardware platform. This is followed by the research on the impact of the pseudo-random noise (PRN) modulation on phase tracking. This reveals that the codes, used at best knowledge so far, hinder the carrier phase extraction from achieving the 1 ucycle/sqrt(Hz) mark with realistic data encoded for intersatellite data communication. Some adaptations of PRN codes are proposed, and it is shown that these offer enough suppression of the noise coupling into phase tracking. After phase tracking is confirmed to be compatible with PRN modulations, PRNR itself is inves- tigated. The key novelty of this thesis in terms of PRNR is the study of its absolute-ranging feature, while previous research on this technology focused on stochastic noise properties. This requires the resolution of PRNR ambiguity and the correction of ranging biases. There suggests that the PRNR estimate, alongside some calibrations, can constantly function as absolute ranging with sub-meter accuracy.