• Photonics Research
  • Vol. 10, Issue 5, 1202 (2022)
Yoon-Soo Jang1、2、7、†, Jinkang Lim1、3、†, Wenting Wang1, Seung-Woo Kim4, Anatoliy Savchenkov5, Andrey B. Matsko6, and Chee Wei Wong1、*
Author Affiliations
  • 1Fang Lu Mesoscopic Optics and Quantum Electronics Laboratory, University of California, Los Angeles, California 90095, USA
  • 2Current address: Division of Physical Metrology, Korea Research Institute of Standards and Science (KRISS), Daejeon 34113, Republic of Korea
  • 3Current address: CACI-LGS Labs, Florham Park, New Jersey 07932, USA
  • 4Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST), Daejeon 34141, Republic of Korea
  • 5OEwaves Inc., Pasadena, California 91107, USA
  • 6Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109, USA
  • 7e-mail: ysj@kriss.re.kr
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    DOI: 10.1364/PRJ.449782 Cite this Article Set citation alerts
    Yoon-Soo Jang, Jinkang Lim, Wenting Wang, Seung-Woo Kim, Anatoliy Savchenkov, Andrey B. Matsko, Chee Wei Wong. Measurement of sub-fm/Hz1/2 displacement spectral densities in ultrahigh-Q single-crystal microcavities with hertz-level lasers[J]. Photonics Research, 2022, 10(5): 1202 Copy Citation Text show less

    Abstract

    Tracing a resonance frequency of a high quality factor (Q) optical cavity facilitates subpicometer displacement measurements of the optical cavity via Pound–Drever–Hall (PDH) locking scheme, tightly synchronizing a laser frequency to the optical cavity. Here we present observations of subfemtometer displacements on a ultrahigh-Q single-crystal MgF2 whispering-gallery-mode microcavity by frequency synchronization between a 1 Hz cavity-stabilized laser and a resonance of the MgF2 cavity using PDH laser-cavity locking. We characterize not only the displacement spectral density of the microcavity with a sensitivity of 1.5×10-16 m/Hz1/2 over the Fourier offset frequency ranging from 15 mHz to 100 kHz but also a 1.77 nm displacement fluctuation of the microcavity over 4500 s. Such measurement capability not only supports the analysis of integrated thermodynamical and technical cavity noise but allows for minute displacement measurements using laser-cavity locking for ultraprecise positioning, metrology, and sensing.
    Sv2(f)tex=v02kBαl2T2ρCVc2r2/π2D1+(2fr2/Dπ)2,(C1)

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    Sv2(f)tre=v02kBαn2T2ρCVmr212D[1+(2πr2|f|93D)32+16(πr2f4Dm1/3)2]1,(C2)

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    Sv2(f)thermal=Sv2(f)tex+Sv2(f)tre.(C3)

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    Yoon-Soo Jang, Jinkang Lim, Wenting Wang, Seung-Woo Kim, Anatoliy Savchenkov, Andrey B. Matsko, Chee Wei Wong. Measurement of sub-fm/Hz1/2 displacement spectral densities in ultrahigh-Q single-crystal microcavities with hertz-level lasers[J]. Photonics Research, 2022, 10(5): 1202
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