2019
DOI: 10.1103/physrevd.100.082005
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Influence of nonuniformity in sapphire substrates for a gravitational wave telescope

Abstract: Construction of a large-scale cryogenic gravitational-wave telescope KAGRA has been completed and the four sapphire test masses have been installed in cryostat vacuum chambers. It recently turned out that a sapphire substrate used for one of the input test masses shows a characteristic strcuture in its transmission map due to non-uniformity of the crystal. We performed an interferometer simulation to see the influence of the non-uniformity using measured transmission/reflection maps.

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Cited by 16 publications
(8 citation statements)
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“…The coupling between CARM and DARM was measured and observed to be larger than the expected level derived using the simulation model that included known or assumed differences in the transmittance of the ITMs, finesse of the arm cavities (as depicted in Table 1), reflected light phase map, and transmission wavefront error map that essentially displays the non-uniformity of the optical thickness of the mirror [48]. A possible cause of the larger CARM-DARM coupling is the birefringence of the test mass mirrors.…”
Section: Laser Frequency Noisementioning
confidence: 85%
“…The coupling between CARM and DARM was measured and observed to be larger than the expected level derived using the simulation model that included known or assumed differences in the transmittance of the ITMs, finesse of the arm cavities (as depicted in Table 1), reflected light phase map, and transmission wavefront error map that essentially displays the non-uniformity of the optical thickness of the mirror [48]. A possible cause of the larger CARM-DARM coupling is the birefringence of the test mass mirrors.…”
Section: Laser Frequency Noisementioning
confidence: 85%
“…Also, fabrication of larger sapphire mirrors would be feasible in the next few years, but it remains uncertain at this point whether larger mirror with required quality is feasible or not. Recently, in KAGRA, it is found that nonuniformity of the transmission map and inhomogeneous birefringence of the input test masses were larger than the expectation, partly due to the use of light with wrong polarization to measure the transmission map to correct the map [31, 59,60]. These issues need to be investigated further for realizing the upgrade of KAGRA.…”
Section: Discussionmentioning
confidence: 99%
“…The inhomogeneity of the refractive index of a material is not usually categorized as its topography, but we introduce sapphire's inhomogeneity here since the measurement technique is essentially the same as the figure measurement. Inhomogeneity of the substrate is especially important in the ITMs since wave-front phase distortion while the beam propagates through the substrate degrades the sensitivity [14]. Sapphire is known to have inhomogeneity about 1 order of magnitude greater than that of fused silica.…”
Section: E Inhomogeneity Of the Substratementioning
confidence: 99%
“…The situation will become worse with inhomogeneity of the ITM substrate. The transfer function from frequency noise to strain sensitivity was independently simulated with the measured inhomogeneity maps, and it was found that the transfer function increases by more than 1 order of magnitude in the observation band [14]. Moreover, the inhomogeneity in the c plane acts as a polarization coupler that converts a linearly polarized incident beam to the opposite polarization state to some extent.…”
Section: Impact On the Detectormentioning
confidence: 99%