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Sensitivity and control of a six-axis fused-silica seismometer
Phys. Rev. Applied 23, 024013 – Published 5 February, 2025
DOI: https://doi.org/10.1103/PhysRevApplied.23.024013
Abstract
We present a pair of seismometers capable of measurement in all six axes of rigid motion. The vacuum-compatible devices implement compact interferometric displacement sensors to surpass the sensitivity of typical electrical-readout schemes. Together with the capability to subtract the sensitivity-limiting coupling of ground tilt into horizontal motion, our seismometers can widen the sensing band toward megahertz frequencies. This has notable applications across a range of fields requiring access to low-frequency signals, such as seismology and climate research. We particularly highlight their potential application in gravitational-wave observatories (the Laser Interferometer Gravitational-Wave Observatory, LIGO) in improving their observation capability of intermediate-mass black holes (approximately ). The sensors are based on a near-monolithic fused-silica design consisting of a fused-silica mass and fiber, showing improved stability and robustness to tilt drifts, alignment, and control compared to all-metal or mixed metal-silica designs. We demonstrate tilt sensitivity that surpasses the best commercial alternatives in a significantly reduced footprint compared to our previous iterations of these sensors.
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References (81)
- N. Barbour and G. Schmidt, Inertial sensor technology trends, IEEE Sens. J. 1, 332 (2001).
- A. Kelly, Modern Inertial and Satellite Navigation Systems, Tech. Rep. CMU-RI-TR-94-15 (Carnegie Mellon University, Pittsburgh, PA, 1994).
- N. El-Sheimy and A. Youssef, Inertial sensors technologies for navigation applications: State of the art and future trends, Sat. Nav. 1, 2 (2020).
- A. Albarbar, A. Badri, J. K. Sinha, and A. Starr, Performance evaluation of mems accelerometers, Measurement 42, 790 (2009).
- B. Culshaw and I. P. Giles, Fibre optic gyroscopes, J. Phys. E: Sci. Instrum. 16, 5 (1983).
- H. C. Lefèvre, The fiber-optic gyroscope, a century after Sagnac’s experiment: The ultimate rotation-sensing technology? C. R. Phys. 15, 851 (2014).
- Y. L. Li and P. F. Barker, Characterization and testing of a micro-g whispering gallery mode optomechanical accelerometer, J. Lightwave Technol. 36, 3919 (2018).
- C. Han, C. Li, Y. Zhao, and B. Li, High-stability quartz resonant accelerometer with micro-leverages, J. Microelectromech. Syst. 30, 184 (2021).
- A. Nelson and F. Guzman, in Optical and Quantum Sensing and Precision Metrology II, edited by J. Scheuer and S. M. Shahriar, International Society for Optics and Photonics (SPIE, San Francisco, California, USA, 2022), Vol. 12016, p. 120160F.
- K. Nishida, Ambient seismic wave field, Proc. Jpn. Acad. Ser. B 93, 423 (2017).
- A. J. G. Berkhout and D. J. E. Verschuur, A scientific framework for active and passive seismic imaging, with applications to blended data and micro-earthquake responses, Geophys. J. Int. 184, 777 (2011).
- C. M. Mow-Lowry and D. Martynov, A 6D interferometric inertial isolation system, Class. Quantum Grav. 36, 245006 (2019).
- A. S. Ubhi, J. Smetana, T. Zhang, S. Cooper, L. Prokhorov, J. Bryant, D. Hoyland, H. Miao, and D. Martynov, A six degree-of-freedom fused silica seismometer: Design and tests of a metal prototype, Classical Quantum Gravity 39, 015006 (2021).
- A. S. Ubhi, L. Prokhorov, S. Cooper, C. D. Fronzo, J. Bryant, D. Hoyland, A. Mitchell, J. van Dongen, C. Mow-Lowry, A. Cumming, G. Hammond, and D. Martynov, Active platform stabilization with a 6D seismometer, Appl. Phys. Lett. 121, 174101 (2022).
- L. Prokhorov, S. Cooper, A. S. Ubhi, C. Mow-Lowry, J. Bryant, A. Dmitriev, C. Di Fronzo, C. J. Collins, A. Gill, A. Mitchell, J. Heinze, J. Smetana, T. Yan, A. V. Cumming, G. Hammond, and D. Martynov, Design and sensitivity of a 6-axis seismometer for gravitational wave observatories, Phys. Rev. D 109, 042007 (2024).
- F. ten Kroode, S. Bergler, C. Corsten, J. W. de Maag, F. Strijbos, and H. Tijhof, Broadband seismic data—the importance of low frequencies, Geophysics 78, WA3 (2013).
- A. Priyono, R. V. Ry, A. D. Nugraha, A. Lesmana, B. S. Prabowo, Y. M. Husni, A. Ardianto, N. Witarsa, and B. I. Sutan, On the use of low-frequency passive seismic as a direct hydrocarbon indicator: A case study at Banyubang oil field, Indonesia, Open Geosci. 16, 20220587 (2024).
- E. Stutzmann, M. Schimmel, G. Patau, and A. Maggi, Global climate imprint on seismic noise, Geochem. Geophys. Geosyst. 10 (2009).
- S. E. Nelms, W. E. Piniak, C. R. Weir, and B. J. Godley, Seismic surveys and marine turtles: An underestimated global threat? Biol. Conserv. 193, 49 (2016).
- F. Matichard, et al., Seismic isolation of Advanced LIGO: Review of strategy, instrumentation and performance, Classical Quantum Gravity 32, 185003 (2015).
- S. Braccini, et al., Virgo Collaboration, Measurement of the seismic attenuation performance of the VIRGO Superattenuator, Astropart. Phys. 23, 557 (2005).
- Y. Akiyama, et al., KAGRA Collaboration, Vibration isolation system with a compact damping system for power recycling mirrors of KAGRA, Classical Quantum Gravity 36, 095015 (2019).
- A. Sider, et al., E-test: A compact low-frequency isolator for a large cryogenic mirror, Classical Quantum Gravity 40, 165002 (2023).
- T. Shimoda, S. Takano, C. P. Ooi, N. Aritomi, Y. Michimura, M. Ando, and A. Shoda, Torsion-bar antenna: A ground-based mid-frequency and low-frequency gravitational wave detector, Int. J. Mod. Phys. D 29, 1940003 (2020).
- J. Smetana, T. Yan, V. Boyer, and D. Martynov, A high-finesse suspended interferometric sensor for macroscopic quantum mechanics with femtometre sensitivity, Sensors 24, 2375 (2024).
- Y.-H. Shin, S.-J. Moon, Y.-J. Kim, and K.-Y. Oh, Vibration control of scanning electron microscopes with experimental approaches for performance enhancement, Sensors 20, 2277 (2020).
- S. Wang, L. Chen, Y. Wang, Z. Zhou, K. Qi, and Z. Wang, A space inertial sensor ground evaluation system for non-sensitive axis based on torsion pendulum, Appl. Sci. 10, 3090 (2020).
- C. E. Okwudire and J. Lee, Minimization of the residual vibrations of ultra-precision manufacturing machines via optimal placement of vibration isolators, Precis. Eng. 37, 425 (2013).
- P. Subrahmanyan, in Proc. 6th International Symposium on Magnetic Bearings (Technomic Pub. Co., Inc., Cambridge, Massachusetts, USA, 1998), https://cir.nii.ac.jp/crid/1571417124723003904.
- Y. Song, C. Gui, Z. Huo, S. W. R. Lee, and S. Liu, Mechanical system and dynamic control in photolithography for nanoscale fabrication: A critical review, Int. J. Mech. Syst. Dyn. 1, 35 (2021).
- E. A. Shaw, M. P. Ross, C. A. Hagedorn, E. G. Adelberger, and J. H. Gundlach, Torsion-balance search for ultralow-mass bosonic dark matter, Phys. Rev. D 105, 042007 (2022).
- D. J. McManus, M. J. Yap, R. L. Ward, D. A. Shaddock, D. E. McClelland, and B. J. J. Slagmolen, Torpedo: A low frequency gravitational force sensor, J. Phys.: Conf. Ser. 716, 012027 (2016).
- H. Yang, H. Miao, D.-S. Lee, B. Helou, and Y. Chen, Macroscopic quantum mechanics in a classical spacetime, Phys. Rev. Lett. 110, 170401 (2013).
- B. Helou, J. Luo, H.-C. Yeh, C. gang Shao, B. Slagmolen, D. E. McClelland, and Y. Chen, Measurable signatures of quantum mechanics in a classical spacetime, Phys. Rev. D 96, 044008 (2017).
- Y. Liu, H. Miao, Y. Chen, and Y. Ma, Semiclassical gravity phenomenology under the causal-conditional quantum measurement prescription, Phys. Rev. D 107, 024004 (2023).
- L. G. D. Thompson and L. J. B. LaCoste, Aerial gravity measurements, J. Geophys. Res. (1896–1977) 65, 305 (1960).
- V. G. Peshekhonov, O. A. Stepanov, V. G. Rozentsvein, A. A. Krasnov, and A. V. Sokolov, State-of-the-art strapdown airborne gravimeters: Analysis of the development, Gyroscopy Navig. 13, 189 (2022).
- F. S. S. Rosa, D. A. R. Dalvit, and P. W. Milonni, Casimir-Lifshitz theory and metamaterials, Phys. Rev. Lett. 100, 183602 (2008).
- I. G. Pirozhenko and A. Lambrecht, Casimir repulsion and metamaterials, J. Phys. A: Math. Theor. 41, 164015 (2008).
- T.-M. Zhao and R.-X. Miao, Huge Casimir effect at finite temperature in electromagnetic Rindler space, Opt. Lett. 36, 4467 (2011).
- J. Aasi, et al., LIGO Scientific Collaboration, Advanced LIGO, Classical Quantum Gravity 32, 074001 (2015).
- F. Acernese, et al., Virgo Collaboration, Advanced Virgo: A second-generation interferometric gravitational wave detector, Classical and Quantum Gravity 32, 024001 (2015).
- B. P. Abbott, et al., LIGO Scientific Collaboration and Virgo Collaboration, Gwtc-1: A gravitational-wave transient catalog of compact binary mergers observed by LIGO and Virgo during the first and second observing runs, Phys. Rev. X 9, 031040 (2019).
- R. Abbott, et al., LIGO Scientific Collaboration and Virgo Collaboration, Gwtc-2: Compact binary coalescences observed by LIGO and Virgo during the first half of the third observing run, Phys. Rev. X 11, 021053 (2021).
- R. Abbott, et al., LIGO Scientific Collaboration, Virgo Collaboration, and KAGRA Collaboration, Gwtc-3: Compact binary coalescences observed by LIGO and Virgo during the second part of the third observing run, Phys. Rev. X 13, 041039 (2023).
- B. P. Abbott, et al., LIGO Scientific Collaboration and Virgo Collaboration, Observation of gravitational waves from a binary black hole merger, Phys. Rev. Lett. 116, 061102 (2016).
- D. V. Martynov, et al., Sensitivity of the Advanced LIGO detectors at the beginning of gravitational wave astronomy, Phys. Rev. D 93, 112004 (2016).
- A. Buikema, et al., LIGO Scientific Collaboration, Sensitivity and performance of the Advanced LIGO detectors in the third observing run, Phys. Rev. D 102, 062003 (2020).
- H. Yu, D. Martynov, S. Vitale, M. Evans, D. Shoemaker, B. Barr, G. Hammond, S. Hild, J. Hough, S. Huttner, S. Rowan, B. Sorazu, L. Carbone, A. Freise, C. Mow-Lowry, K. L. Dooley, P. Fulda, H. Grote, and D. Sigg, Prospects for detecting gravitational waves at 5 Hz with ground-based detectors, Phys. Rev. Lett. 120, 141102 (2018).
- R. Magee, D. Chatterjee, L. P. Singer, S. Sachdev, M. Kovalam, G. Mo, S. Anderson, P. Brady, P. Brockill, K. Cannon, et al., First demonstration of early warning gravitational-wave alerts, Astrophys. J. Lett. 910, L21 (2021).
- M. Branchesi, Multi-messenger astronomy: Gravitational waves, neutrinos, photons, and cosmic rays, J. Phys.: Conf. Ser. 718, 022004 (2016).
- P. Amaro-Seoane, J. R. Gair, M. Freitag, M. C. Miller, I. Mandel, C. J. Cutler, and S. Babak, Intermediate and extreme mass-ratio inspirals—astrophysics, science applications and detection using LISA, Classical Quantum Gravity 24, R113 (2007).
- N. A. Robertson, et al., Quadruple suspension design for Advanced LIGO, Classical Quantum Gravity 19, 311 (2002).
- F. Matichard, B. Lantz, K. Mason, R. Mittleman, B. Abbott, S. Abbott, E. Allwine, S. Barnum, J. Birch, S. Biscans, et al., Advanced LIGO two-stage twelve-axis vibration isolation and positioning platform. Part 1: Design and production overview, Precis. Eng. 40, 273 (2015).
- F. Matichard, B. Lantz, K. Mason, R. Mittleman, B. Abbott, S. Abbott, E. Allwine, S. Barnum, J. Birch, S. Biscans, et al., Advanced LIGO two-stage twelve-axis vibration isolation and positioning platform. Part 2: Experimental investigation and tests results, Precis. Eng. 40, 287 (2015).
- D. Reitze, et al., The U.S. contribution to gravitational-wave astronomy beyond LIGO, ArXiv:1907.04833.
- M. Evans, et al., A horizon study for Cosmic Explorer: Science, observatories, and community, ArXiv:2109.09882.
- M. Maggiore, C. V. D. Broeck, N. Bartolo, E. Belgacem, D. Bertacca, M. A. Bizouard, M. Branchesi, S. Clesse, S. Foffa, J. García-Bellido, S. Grimm, J. Harms, T. Hinderer, S. Matarrese, C. Palomba, M. Peloso, A. Ricciardone, and M. Sakellariadou, Science case for the Einstein telescope, J. Cosmol. Astroparticle Phys. 2020, 050 (2020).
- ET Steering Committee Editorial Team, Einstein Telescope Design Report Update 2020 (Einstein Telescope Collaboration, 2020), https://apps.et-gw.eu/tds/ql/?c=15418.
- F. Matichard and M. Evans, Review: Tilt-free low-noise seismometry, Bull. Seismol. Soc. Am. 105, 497 (2015).
- V. G. Nair and C. Collette, Double link sensor for mitigating tilt- horizontal coupling, J. Instrum. 17, P04012 (2022).
- K. Venkateswara, C. A. Hagedorn, M. D. Turner, T. Arp, and J. H. Gundlach, A high-precision mechanical absolute-rotation sensor, Rev. Sci. Instrum. 85, 015005 (2014).
- M. P. Ross, K. Venkateswara, C. A. Hagedorn, J. H. Gundlach, J. S. Kissel, J. Warner, H. Radkins, T. J. Shaffer, M. W. Coughlin, and P. Bodin, Low-frequency tilt seismology with a precision ground-rotation sensor, Seismological Res. Lett. 89, 67 (2017).
- M. P. Ross, J. van Dongen, Y. Huang, H. Zhou, Y. Chowdhury, S. K. Apple, C. M. Mow-Lowry, A. L. Mitchell, N. A. Holland, B. Lantz, E. Bonilla, A. Engl, A. Pele, D. Griffith, E. Sanchez, E. A. Shaw, C. Gettings, and J. Gundlach, A vacuum-compatible cylindrical inertial rotation sensor with Picoradian sensitivity, Rev. Sci. Instrum. 94, 094503 (2023).
- C. Collette, F. Nassif, J. Amar, C. Depouhan, and S.-P. Gorza, Prototype of interferometric absolute motion sensor, Sens. Actuators, A 224, 72 (2015).
- J. V. van Heijningen, A. Bertolini, and J. F. J. van den Brand, in 2018 IEEE Sensors Applications Symposium (SAS) (IEEE, Seoul, Republic of Korea, 2018), p. 1.
- S. L. Kranzhoff, J. Lehmann, R. Kirchhoff, M. Carlassara, S. J. Cooper, P. Koch, S. Leavey, H. Lück, C. M. Mow-Lowry, J. Wöhler, J. von Wrangel, and D. S. Wu, A vertical inertial sensor with interferometric readout, Classical Quantum Gravity 40, 015007 (2022).
- S. J. Cooper, C. J. Collins, L. Prokhorov, J. Warner, D. Hoyland, and C. M. Mow-Lowry, Interferometric sensing of a commercial geophone, Classical Quantum Gravity 39, 075023 (2022).
- B. Ding, G. Zhao, J. Watchi, A. Sider, and C. Collette, An interferometric inertial sensor for low-frequency seismic isolation, Sens. Actuators, A 335, 113398 (2022).
- A. Hines, A. Nelson, Y. Zhang, G. Valdes, J. Sanjuan, J. Stoddart, and F. Guzmán, Optomechanical accelerometers for geodesy, Remote. Sens. (Basel) 14, 4389 (2022).
- J. Smetana, R. Walters, S. Bauchinger, A. S. Ubhi, S. Cooper, D. Hoyland, R. Abbott, C. Baune, P. Fritchel, O. Gerberding, S. Köhnke, H. Miao, S. Rode, and D. Martynov, Compact Michelson interferometers with subpicometer sensitivity, Phys. Rev. Appl. 18, 034040 (2022).
- A. V. Cumming, et al., Design and development of the Advanced LIGO monolithic fused silica suspension, Classical Quantum Gravity 29, 035003 (2012).
- G. I. González and P. R. Saulson, Brownian motion of a mass suspended by an anelastic wire, J. Acoustical Soc. Am. 96, 207 (1994).
- G. González, Suspensions thermal noise in the LIGO gravitational wave detector, Classical Quantum Gravity 17, 4409 (2000).
- A. Takamori, P. Raffai, S. Márka, R. DeSalvo, V. Sannibale, H. Tariq, A. Bertolini, G. Cella, N. Viboud, K. Numata, R. Takahashi, and M. Fukushima, Inverted pendulum as low-frequency pre-isolation for advanced gravitational wave detectors, Nucl. Instr. Meth. Phys. Res. A 582, 683 (2007).
- P. D. Ispánovity, D. Ugi, G. Péterffy, M. Knapek, S. Kalácska, D. Tüzes, Z. Dankházi, K. Máthis, F. Chmelík, and I. Groma, Dislocation avalanches are like earthquakes on the micron scale, Nat. Commun. 13, 1975 (2022).
- J. P. Sethna, K. A. Dahmen, and C. R. Myers, Crackling noise, Nature 410, 242 (2001).
- G. Cagnoli, L. Gammaitoni, J. Hough, J. Kovalik, S. McIntosh, M. Punturo, and S. Rowan, Very high measurements on a fused silica monolithic pendulum for use in enhanced gravity wave detectors, Phys. Rev. Lett. 85, 2442 (2000).
- J. Smetana, C. Di Fronzo, A. Amorosi, and D. Martynov, Nonlinearities in fringe-counting compact Michelson interferometers, Sensors 23, 7526 (2023).
- G. Heinzel, F. G. Cervantes, A. F. G. Marín, J. Kullmann, W. Feng, and K. Danzmann, Deep phase modulation interferometry, Opt. Express 18, 19076 (2010).
- L. Carbone, S. M. Aston, R. M. Cutler, A. Freise, J. Greenhalgh, J. Heefner, D. Hoyland, N. A. Lockerbie, D. Lodhia, N. A. Robertson, C. C. Speake, K. A. Strain, and A. Vecchio, Sensors and actuators for the Advanced LIGO mirror suspensions, Classical Quantum Gravity 29, 115005 (2012).