2020
DOI: 10.1007/s41114-020-00029-6
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Time-delay interferometry

Abstract: Equal-arm detectors of gravitational radiation allow phase measurements many orders of magnitude below the intrinsic phase stability of the laser injecting light into their arms. This is because the noise in the laser light is common to both arms, experiencing exactly the same delay, and thus cancels when it is differenced at the photo detector. In this situation, much lower level secondary noises then set the overall performance. If, however, the two arms have different lengths (as will necessarily be the cas… Show more

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Cited by 170 publications
(167 citation statements)
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References 84 publications
(326 reference statements)
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“…The TDIs C 12 3 , C 14 3 , C 16 26 , C 16 27 have the properties of being fully symmetric in the idealistic scenario of equal and constant arm-length. In fact, they represent second generation versions of the first generation fully symmetric Sagnac combination known from the literature [6]. Note, however, that they are different from the second generation versions reported there.…”
Section: Tional Wavesmentioning
confidence: 90%
“…The TDIs C 12 3 , C 14 3 , C 16 26 , C 16 27 have the properties of being fully symmetric in the idealistic scenario of equal and constant arm-length. In fact, they represent second generation versions of the first generation fully symmetric Sagnac combination known from the literature [6]. Note, however, that they are different from the second generation versions reported there.…”
Section: Tional Wavesmentioning
confidence: 90%
“…Then, Step 3 is replaced by forming the A, E and T combinations from X, Y and Z, as defined in Ref. [4]. Finally, we compute the TDI sensitivity over all channels with a calculation similar to Eq.…”
Section: Practical Implementationmentioning
confidence: 99%
“…By taking advantage of the fact that several delayed versions of the same noise component appear in different measurements, it is possible to cancel laser noise by combining and interpolating the received data streams at the right timestamps. We call this post-processing technique time-delay interferometry (TDI) [4]. TDI has been undergoing a constant development to account for increasing degrees of complexity, including optical bench motion noise [5], varying armlengths [6,7], noise correlations [8], on-board filtering [9], clock jitters [10] and the preferred representative units of the processed data (phase or fractionalfrequency) [11].…”
Section: Introductionmentioning
confidence: 99%
“…Quantum noise is negligible at this level of accelerometer noise. τij = τ ij +δ j , where τij is the estimated time of flight and δ j is a random variable which represents the error in this estimate [45]. Substituting the estimated time of flight into the TDI combinations shows that without perfect arm length knowledge there will be some left-over laser phase noise.…”
Section: Appendix F: Alternative Laser Phase Noise Free Combinationsmentioning
confidence: 99%