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Directional Response Optimization through Linear Recombination of Time-Delay Interferometry Channels in Space-based Gravitational Wave Detection — arXiv:2609.00589

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.00589
License (as archived): CC0-1.0
Archived: 2026-10-17T07:31:39.508Z
SHA-256 of the archived text: 1e8d6a24062a9ac8d32b337f4cce09ded0be528b703fb33c1f0a1867ce9b2f23
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How to cite

Directional Response Optimization through Linear Recombination of Time-Delay Interferometry Channels in Space-based Gravitational Wave Detection — arXiv:2609.00589 — arXiv (en), https://arxiv.org/abs/2609.00589 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ed72e577c6ff (Metraipolis archive dc_ed72e577c6ff, sha256 1e8d6a24062a9ac8d32b337f4cce09ded0be528b703fb33c1f0a1867ce9b2f23)

BibTeX

@misc{dced72e577c6ff,
  title = {Directional Response Optimization through Linear Recombination of Time-Delay Interferometry Channels in Space-based Gravitational Wave Detection — arXiv:2609.00589},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.00589},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ed72e577c6ff; sha256 1e8d6a24062a9ac8d32b337f4cce09ded0be528b703fb33c1f0a1867ce9b2f23},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.00589. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Space-based gravitational-wave detectors such as LISA, Taiji, and TianQin employ time-delay interferometry (TDI) to cancel laser-frequency noise for unequal-arm constellations. Since different TDI observables exhibit distinct sky responses, a linear combination of candidate channels can enhance the average response over one sky region while suppressing that of another. We construct a frequency-domain response matrix for TDI combinations, average it across target and suppressed sky regions, and derive the optimal weights via a generalized eigenvalue problem that maximizes the ratio between these two regional responses. At millihertz frequencies, examples with the $A$, $E$, and $T$ channels, the Sagnac combinations $\alpha$, $\beta$, and $\gamma$, and 16-links TDI show that a sky-region null and a large regional contrast are possible near the chosen frequency, with eigenvalues $\rho$ ranging from $\mathcal{O}(10)$ for small bases to $\mathcal{O}(10^2)$ for the larger set. The method is therefore expected to be well suited to nearly monochromatic sources such as the resolved Galactic double white dwarf binaries in the millihertz band. The Target-to-Suppression Ratio (TSR) peaks near the design frequency and falls quickly away from it, so the optimized weight vector is inherently narrowband and suited to targeted searches around a chosen frequency and sky direction.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-02 in gr-qc).
Categorie arXiv: General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2609.00589 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T07:20:32.098Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-09-02?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).