Artigo de periodico

Second-order combinatorial algebraic time-delay interferometry (2023)

• Authors:
  • Qian, Wei-Liang
  • Wang, Pan-Pan
  • Wu, Zhang-Qi
  • Shao, Cheng-Gang
  • Wang, Bin
  • Yue, Rui-Hong
• Autor USP: QIAN, WEILIANG - EEL
• Unidade: EEL
• DOI: 10.1103/PhysRevD.108.022002
• Subjects: ONDAS GRAVITACIONAIS; GRAVIDADE; COSMOLOGIA
• Agências de fomento:
  • Financiamento NSFC
  • Financiamento Fundamental Research Funds for the Central Universities-RUC, China
  • Financiamento FAPESP
  • Financiamento FAPERJ
  • Financiamento CNPq
  • Financiamento CAPES
• Language: Inglês
• Abstract: Inspired 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-byorder. 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.
• Imprenta:
  • Publisher: APS
  • Publisher place: Pensilvânia
  • Date published: 2023
• Source:
  • Título: Physical review D
  • ISSN: 2470-0010
  • Volume/Número/Paginação/Ano: v. 108, n. 2, p. 1-19, 2023

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How to cite

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• ABNT

  QIAN, Wei-Liang et al. Second-order combinatorial algebraic time-delay interferometry. Physical review D, v. 108, n. 2, p. 1-19, 2023Tradução . . Disponível em: https://doi.org/10.1103/PhysRevD.108.022002. Acesso em: 12 mar. 2026.

• APA

  Qian, W. -L., Wang, P. -P., Wu, Z. -Q., Shao, C. -G., Wang, B., & Yue, R. -H. (2023). Second-order combinatorial algebraic time-delay interferometry. Physical review D, 108( 2), 1-19. doi:10.1103/PhysRevD.108.022002

• NLM

  Qian W-L, Wang P-P, Wu Z-Q, Shao C-G, Wang B, Yue R-H. Second-order combinatorial algebraic time-delay interferometry [Internet]. Physical review D. 2023 ; 108( 2): 1-19.[citado 2026 mar. 12 ] Available from: https://doi.org/10.1103/PhysRevD.108.022002

• Vancouver

  Qian W-L, Wang P-P, Wu Z-Q, Shao C-G, Wang B, Yue R-H. Second-order combinatorial algebraic time-delay interferometry [Internet]. Physical review D. 2023 ; 108( 2): 1-19.[citado 2026 mar. 12 ] Available from: https://doi.org/10.1103/PhysRevD.108.022002

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