@Article{TintoDhur:2023:HiTiIn,
               author = "Tinto, Massimo and Dhurandhar, Sanjeev",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Inter 
                         University Centre for Astronomy and Astrophysics}",
                title = "Higher-order time-delay interferometry",
              journal = "Physical Review D",
                 year = "2023",
               volume = "108",
               number = "8",
                pages = "e082003",
                month = "Oct.",
             abstract = "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 interspacecraft velocities. 
                         This was done by interfering two digitally synthesized optical 
                         beams propagating a number of times clockwise and counterclockwise 
                         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 interspacecraft 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 
                         (\α, \β, \γ, X) of the first-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 interspacecraft 
                         distances vary appreciably with time, in particular, relative 
                         velocities are much larger than those of currently planned 
                         arrays.",
                  doi = "10.1103/PhysRevD.108.082003",
                  url = "http://dx.doi.org/10.1103/PhysRevD.108.082003",
                 issn = "1550-2368 and 1550-7998",
             language = "en",
           targetfile = "PhysRevD.108.082003.pdf",
        urlaccessdate = "29 jun. 2024"
}