@Article{TintoDhurMala:2023:SeTiIn,
               author = "Tinto, Massimo and Dhurandhar, Sanjeev and Malakar, Dishari",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Inter 
                         University Centre for Astronomy and Astrophysics} and {Missouri 
                         University of Science and Technology}",
                title = "Second-generation time-delay interferometry",
              journal = "Physical Review D",
                 year = "2023",
               volume = "107",
               number = "8",
                pages = "e082001",
                month = "Apr.",
             abstract = "Time-delay interferometry (TDI) is the data processing technique 
                         that cancels the large laser phase fluctuations affecting the 
                         heterodyne Doppler measurements made by unequal-arm space-based 
                         gravitational wave interferometers. The space of all TDI 
                         combinations was first derived under the simplifying assumption of 
                         a stationary array, for which the three time-delay operators 
                         commute. In this model, any element of the TDI space can be 
                         written as a linear combination of four TDI variables, the 
                         generators of the {"}first-generation{"}TDI space. To adequately 
                         suppress the laser phase fluctuations in a realistic array 
                         configuration, the rotation of the array and the time dependence 
                         of the six interspacecraft light travel times has to be accounted 
                         for. In the case of the Laser Interferometer Space Antenna (LISA), 
                         a European Space Agency mission characterized by slowly time 
                         varying armlengths, it has been possible to identify data 
                         combinations that, to first order in the interspacecraft 
                         velocities, either exactly cancel or suppress the laser phase 
                         fluctuations below the level identified by the noise sources 
                         intrinsic to the heterodyne measurements (the so-called 
                         {"}secondary{"}noises). Here we reanalyze the problem of exactly 
                         canceling the residual laser noise terms linear in the 
                         interspacecraft velocities. We find that the procedure for 
                         obtaining elements of the second-generation TDI space can be 
                         generalized in an iterative way. This allows us to {"}lift 
                         up{"}the generators of the first-generation TDI space and 
                         construct elements of the higher order TDI space whose 
                         gravitational wave sensitivities are equal to those of their 
                         first-generation counterparts.",
                  doi = "10.1103/PhysRevD.107.082001",
                  url = "http://dx.doi.org/10.1103/PhysRevD.107.082001",
                 issn = "1550-2368 and 1550-7998",
             language = "en",
           targetfile = "PhysRevD.107.082001.pdf",
        urlaccessdate = "29 jun. 2024"
}