Second-order combinatorial algebraic time-delay interferometry

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Autor(es): dc.contributorYangzhou University-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorHuazhong University of Science and Technology-
Autor(es): dc.contributorShanghai Jiao Tong University-
Autor(es): dc.creatorQian, Wei-Liang-
Autor(es): dc.creatorWang, Pan-Pan-
Autor(es): dc.creatorWu, Zhang-Qi-
Autor(es): dc.creatorShao, Cheng-Gang-
Autor(es): dc.creatorWang, Bin-
Autor(es): dc.creatorYue, Rui-Hong-
Data de aceite: dc.date.accessioned2025-08-21T15:23:39Z-
Data de disponibilização: dc.date.available2025-08-21T15:23:39Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-07-15-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1103/PhysRevD.108.022002-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/297318-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/297318-
Descrição: dc.descriptionInspired by the combinatorial algebraic approach proposed by Dhurandhar et al., we propose two novel classes of second-generation time-delay interferometry (TDI) solutions and their further generalization. The primary strategy of the algorithm is to enumerate specific types of residual laser frequency noise associated with second-order commutators in products of time-displacement operators. The derivations are based on analyzing the delay time residual when expanded in time derivatives of the armlengths order-by-order. It is observed that the solutions obtained by such a scheme are primarily captured by the geometric TDI approach and therefore possess an intuitive interpretation. Nonetheless, the fully symmetric Sagnac and Sagnac-inspired combinations inherit the properties from the original algebraic approach, and subsequently lie outside of the scope of geometric TDI. We explicitly show that novel solutions, distinct from existing ones in terms of both algebraic structure and sensitivity curve, are encountered. Moreover, at its lowest order, the solution is furnished by commutators of relatively compact form. Besides the original Michelson-type solution, we elaborate on other types of solutions such as the Monitor, Beacon, Relay, Sagnac, fully symmetric Sagnac, and Sagnac-inspired ones. The average response functions, residual noise power spectral density, and sensitivity curves are evaluated for the obtained solutions. Also, the relations between the present scheme and other existing algorithms are discussed.-
Descrição: dc.descriptionCenter for Gravitation and Cosmology College of Physical Science and Technology Yangzhou University-
Descrição: dc.descriptionEscola de Engenharia de Lorena Universidade de São Paulo, Lorena-
Descrição: dc.descriptionFaculdade de Engenharia de Guaratinguetá Universidade Estadual Paulista, Guaratinguetá-
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.descriptionSchool of Aeronautics and Astronautics Shanghai Jiao Tong University-
Descrição: dc.descriptionFaculdade de Engenharia de Guaratinguetá Universidade Estadual Paulista, Guaratinguetá-
Idioma: dc.languageen-
Relação: dc.relationPhysical Review D-
???dc.source???: dc.sourceScopus-
Título: dc.titleSecond-order combinatorial algebraic time-delay interferometry-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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