Combinatorial algebraic approach for modified second-generation time-delay interferometry

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorHuazhong University of Science and Technology-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorYangzhou University-
Autor(es): dc.creatorWu, Zhang-Qi-
Autor(es): dc.creatorWang, Pan-Pan-
Autor(es): dc.creatorQian, Wei-Liang-
Autor(es): dc.creatorShao, Cheng-Gang-
Data de aceite: dc.date.accessioned2025-08-21T16:37:43Z-
Data de disponibilização: dc.date.available2025-08-21T16:37:43Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-01-14-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1103/PhysRevD.107.024042-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/246767-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/246767-
Descrição: dc.descriptionWe generalize the combinatorial algebraic approach first proposed by Dhurandhar et al. to construct various classes of modified second-generation time-delay interferometry (TDI) solutions. The main idea behind the original algorithm is to enumerate, in a given order, a specific type of commutator between two monomials defined by the products of particular time-displacement operators. On the one hand, the enumeration process can be implemented using the properties of the commutative ring and the relevant equation for the TDI solution. On the other hand, these commutators are shown to vanish if we only keep up the first-order contributions regarding the rate of change of armlengths. In other words, each commutator furnishes a valid TDI solution pertaining to the given type of modified second-generation combinations. In this work, Dhurandhar's algorithm, which only involved time-delay operators and was primarily applied to Michelson-type solutions, is extended by introducing the time-advance ones and then utilized to seek combinations of the Beacon, Relay, Monitor, Sagnac, and fully symmetric Sagnac types. We discuss the relation between the present scheme's solutions and those obtained by the geometric TDI approach, a well-known method of exhaustion of virtual optical paths. In particular, we report the results on novel Sagnac-inspired solutions that cannot be straightforwardly obtained using the geometric TDI algorithm. The average response functions, floor noise power spectral densities, and sensitivity functions are evaluated for the obtained solutions.-
Descrição: dc.descriptionMOE Key Laboratory of Fundamental Physical Quantities Measurement Hubei Key Laboratory of Gravitation and Quantum Physics PGMF School of Physics Huazhong University of Science and Technology-
Descrição: dc.descriptionEscola de Engenharia de Lorena Universidade de São Paulo, SP-
Descrição: dc.descriptionFaculdade de Engenharia de Guaratinguetá Universidade Estadual Paulista, SP-
Descrição: dc.descriptionCenter for Gravitation and Cosmology College of Physical Science and Technology Yangzhou University-
Descrição: dc.descriptionFaculdade de Engenharia de Guaratinguetá Universidade Estadual Paulista, SP-
Idioma: dc.languageen-
Relação: dc.relationPhysical Review D-
???dc.source???: dc.sourceScopus-
Título: dc.titleCombinatorial algebraic approach for modified second-generation time-delay interferometry-
Tipo de arquivo: dc.typelivro digital-
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