2023/07/14 by Massimo Tinto, Sanjeev Dhurandhar, Tinto, Massimo +1
Engineering · Physics and Astronomy · #Advanced Frequency and Time Standards #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Sensor Technology #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.48550/arxiv.2307.07585
openalex publication_date 2023/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Time-Delay Interferometry (TDI) is the data processing technique that cancels the large laser phase fluctuations affecting the one-way Doppler measurements made by unequal-arm space-based gravitational wave interferometers. In a previous publication we derived TDI combinations that exactly cancel the laser phase fluctuations up to first order in the inter-spacecraft velocities. This was done by interfering two digitally-synthesized optical beams propagating a number of times clock- and counter-clock-wise around the array. Here we extend that approach by showing that the number of loops made by each beam before interfering corresponds to a specific higher-order TDI space. In it the cancellation of laser noise terms that depend on the acceleration and higher-order time derivatives of the inter-spacecraft light-travel-times is achieved exactly. Similarly to what we proved for the second-generation TDI space, elements of a specific higher-order TDI space can be obtained by first ``lifting'' the basis (\a, \b, \g, X) of the 1\rm st-generation TDI space to the higher-order space of interest and then taking linear combinations of them with coefficients that are polynomials of the six delays operators. Higher-Order TDI might be required by future interplanetary gravitational wave missions whose inter-spacecraft distances vary appreciably with time, in particular, relative velocities are much larger than those of currently planned arrays.