Geometric approach for the modified second generation time delay interferometry Article Swipe
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1103/physrevd.106.024003
The time delay interferometry (TDI) is an algorithm proposed to suppress the\nlaser frequency noise in space-borne gravitational wave detectors. As a\npost-processing technique, it is implemented by constructing a virtual equal\narm interferometer through an appropriate combination of the time-shifted data\nstreams. Such an approach is tailored to the intrinsic feature of the\nspace-based gravitational wave detection, namely, the distances between\nspacecraft are governed by the orbit dynamics and thus can not be held\nconstant. Among different implementations, the geometric TDI was introduced as\na method of exhaustion to evaluate the second-generation TDI combinations. The\napplications of the algebraic approach based on computational algebraic\ngeometry, on the other hand, are mostly restricted to the first and the\nmodified first-generation TDI. Besides, geometric TDI furnishes an intuitive\nphysical interpretation about the synthesis of the virtual optical paths. In\nthis paper, the geometric TDI is utilized to investigate the modified\nsecond-generation TDI combinations in conjunction with a ternary search\nalgorithm. The distinction between the second-generation and modified\nsecond-generation TDI solutions is elaborated regarding the rate of change of\nthe arm lengths with respect to the opposite cyclic directions. For the\nsixteen-link combinations, forty second-generation TDI solutions are recovered,\namong which nine of them are identified as the modified second-generation ones.\n
Related Topics To Compare & Contrast
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevd.106.024003
- OA Status
- green
- Cited By
- 23
- References
- 54
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4280525205