Absolute-length determination of a long-baseline Fabry-Perot cavity by means of resonating modulation sidebands

Akito Araya; Souichi Telada; Kuniharu Tochikubo; Shinsuke Taniguchi; Ryutaro Takahashi; Keita Kawabe; Daisuke Tatsumi; Toshitaka Yamazaki; Seiji Kawamura; Shinji Miyoki; Shigenori Moriwaki; Mitsuru Musha; Shigeo Nagano; Masa Katsu Fujimoto; Kazuo Horikoshi; Norikatsu Mio; Yutaka Naito; Akiteru Takamori; Kazuhiro Yamamoto

doi:10.1364/AO.38.002848

Absolute-length determination of a long-baseline Fabry-Perot cavity by means of resonating modulation sidebands

Akito Araya, Souichi Telada, Kuniharu Tochikubo, Shinsuke Taniguchi, Ryutaro Takahashi, Keita Kawabe, Daisuke Tatsumi, Toshitaka Yamazaki, Seiji Kawamura, Shinji Miyoki, Shigenori Moriwaki, Mitsuru Musha, Shigeo Nagano, Masa Katsu Fujimoto, Kazuo Horikoshi, Norikatsu Mio, Yutaka Naito, Akiteru Takamori, Kazuhiro Yamamoto

Department of Physics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

A new method has been demonstrated for absolute-length measurements of a long-baseline Fabry–Perot cavity by use of phase-modulated light. This method is based on determination of a free spectral range (FSR) of the cavity from the frequency difference between a carrier and phase-modulation sidebands, both of which resonate in the cavity. Sensitive response of the Fabry–Perot cavity near resonant frequencies ensures accurate determination of the FSR and thus of the absolute length of the cavity. This method was applied to a 300-m Fabry×Perot cavity of the TAMA gravitational wave detector that is being developed at the National Astronomical Observatory, Tokyo. With a modulation frequency of (12 MHz, we successfully determined the absolute cavity length with resolution of 1 μm (3 × 10⁻⁹ in strain) and observed local ground strain variations of 6 × 10⁻⁸.

Original language	English
Pages (from-to)	2848-2856
Number of pages	9
Journal	Applied Optics
Volume	38
Issue number	13
DOIs	https://doi.org/10.1364/AO.38.002848
State	Published - 1999/05/01

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Engineering (miscellaneous)
Electrical and Electronic Engineering

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10.1364/AO.38.002848

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Araya, A., Telada, S., Tochikubo, K., Taniguchi, S., Takahashi, R., Kawabe, K., Tatsumi, D., Yamazaki, T., Kawamura, S., Miyoki, S., Moriwaki, S., Musha, M., Nagano, S., Fujimoto, M. K., Horikoshi, K., Mio, N., Naito, Y., Takamori, A., & Yamamoto, K. (1999). Absolute-length determination of a long-baseline Fabry-Perot cavity by means of resonating modulation sidebands. Applied Optics, 38(13), 2848-2856. https://doi.org/10.1364/AO.38.002848

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title = "Absolute-length determination of a long-baseline Fabry-Perot cavity by means of resonating modulation sidebands",

abstract = "A new method has been demonstrated for absolute-length measurements of a long-baseline Fabry–Perot cavity by use of phase-modulated light. This method is based on determination of a free spectral range (FSR) of the cavity from the frequency difference between a carrier and phase-modulation sidebands, both of which resonate in the cavity. Sensitive response of the Fabry–Perot cavity near resonant frequencies ensures accurate determination of the FSR and thus of the absolute length of the cavity. This method was applied to a 300-m Fabry×Perot cavity of the TAMA gravitational wave detector that is being developed at the National Astronomical Observatory, Tokyo. With a modulation frequency of (12 MHz, we successfully determined the absolute cavity length with resolution of 1 μm (3 × 10−9 in strain) and observed local ground strain variations of 6 × 10−8.",

author = "Akito Araya and Souichi Telada and Kuniharu Tochikubo and Shinsuke Taniguchi and Ryutaro Takahashi and Keita Kawabe and Daisuke Tatsumi and Toshitaka Yamazaki and Seiji Kawamura and Shinji Miyoki and Shigenori Moriwaki and Mitsuru Musha and Shigeo Nagano and Fujimoto, {Masa Katsu} and Kazuo Horikoshi and Norikatsu Mio and Yutaka Naito and Akiteru Takamori and Kazuhiro Yamamoto",

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doi = "10.1364/AO.38.002848",

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Araya, A, Telada, S, Tochikubo, K, Taniguchi, S, Takahashi, R, Kawabe, K, Tatsumi, D, Yamazaki, T, Kawamura, S, Miyoki, S, Moriwaki, S, Musha, M, Nagano, S, Fujimoto, MK, Horikoshi, K, Mio, N, Naito, Y, Takamori, A & Yamamoto, K 1999, 'Absolute-length determination of a long-baseline Fabry-Perot cavity by means of resonating modulation sidebands', Applied Optics, vol. 38, no. 13, pp. 2848-2856. https://doi.org/10.1364/AO.38.002848

TY - JOUR

T1 - Absolute-length determination of a long-baseline Fabry-Perot cavity by means of resonating modulation sidebands

AU - Araya, Akito

AU - Telada, Souichi

AU - Tochikubo, Kuniharu

AU - Taniguchi, Shinsuke

AU - Takahashi, Ryutaro

AU - Kawabe, Keita

AU - Tatsumi, Daisuke

AU - Yamazaki, Toshitaka

AU - Kawamura, Seiji

AU - Miyoki, Shinji

AU - Moriwaki, Shigenori

AU - Musha, Mitsuru

AU - Nagano, Shigeo

AU - Fujimoto, Masa Katsu

AU - Horikoshi, Kazuo

AU - Mio, Norikatsu

AU - Naito, Yutaka

AU - Takamori, Akiteru

AU - Yamamoto, Kazuhiro

PY - 1999/5/1

Y1 - 1999/5/1

N2 - A new method has been demonstrated for absolute-length measurements of a long-baseline Fabry–Perot cavity by use of phase-modulated light. This method is based on determination of a free spectral range (FSR) of the cavity from the frequency difference between a carrier and phase-modulation sidebands, both of which resonate in the cavity. Sensitive response of the Fabry–Perot cavity near resonant frequencies ensures accurate determination of the FSR and thus of the absolute length of the cavity. This method was applied to a 300-m Fabry×Perot cavity of the TAMA gravitational wave detector that is being developed at the National Astronomical Observatory, Tokyo. With a modulation frequency of (12 MHz, we successfully determined the absolute cavity length with resolution of 1 μm (3 × 10−9 in strain) and observed local ground strain variations of 6 × 10−8.

AB - A new method has been demonstrated for absolute-length measurements of a long-baseline Fabry–Perot cavity by use of phase-modulated light. This method is based on determination of a free spectral range (FSR) of the cavity from the frequency difference between a carrier and phase-modulation sidebands, both of which resonate in the cavity. Sensitive response of the Fabry–Perot cavity near resonant frequencies ensures accurate determination of the FSR and thus of the absolute length of the cavity. This method was applied to a 300-m Fabry×Perot cavity of the TAMA gravitational wave detector that is being developed at the National Astronomical Observatory, Tokyo. With a modulation frequency of (12 MHz, we successfully determined the absolute cavity length with resolution of 1 μm (3 × 10−9 in strain) and observed local ground strain variations of 6 × 10−8.

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Absolute-length determination of a long-baseline Fabry-Perot cavity by means of resonating modulation sidebands

Abstract

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