Abstract

We propose and demonstrate a new measurement technique for the optical absorption of high-reflection coatings. Our technique is based on photothermal self-phase modulation and exploits the deformation of cavity Airy peaks that occurs due to coating absorption of intracavity light. The mirror whose coating is under investigation needs to be the input mirror of a high-finesse cavity. Our example measurements were performed on a high-reflection SiO2Ta2O5 coating in a three-mirror ring-cavity setup at a wavelength of 1064 nm. The optical absorption of the coating was determined to be α=(23.9±2.0)·106 per coating. Our result is in excellent agreement with an independently performed laser calorimetry measurement that gave a value of α=(24.4±3.2)·106 per coating. Since the self-phase modulation in our coating-absorption measurement affects mainly the propagation through the cavity input mirror, our measurement result is practically uninfluenced by the optical absorption of the other cavity mirrors.

© 2012 Optical Society of America

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2011 (1)

2010 (2)

B. Hage, A. Samblowski, and R. Schnabel, “Towards Einstein-Podolsky-Rosen quantum channel multiplexing,” Phys. Rev. A 81, 062301 (2010).
[CrossRef]

N. Lastzka, J. Steinlechner, S. Steinlechner, and R. Schnabel, “Measuring small absorptions by exploiting photothermal self-phase modulation,” Appl. Opt. 49, 5391–5398 (2010).
[CrossRef]

2009 (1)

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

1999 (1)

V. B. Braginsky, M. L. Gorodetsky, and S. P. Vyatchanin, “Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae,” Phys. Lett. A 264, 1–10 (1999).
[CrossRef]

1996 (1)

U. Willamowski, T. Groß, D. Ristau, and H. Welling, “Calorimetric measurement of optical absorption at 532 nm and 1064 nm according to ISO/FDIS 11551,” Proc. SPIE 2870, 483–494 (1996).
[CrossRef]

1993 (1)

P. Hello and J. Vinet, “Numerical model of transient thermal effects in high power optical resonators,” J. Phys. France 3, 717 (1993).
[CrossRef]

1991 (1)

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).
[CrossRef]

1990 (1)

P. Hello and J. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams,” J. Phys. France 51, 1267 (1990).
[CrossRef]

Agatsuma, K.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Arai, K.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Arain, M. A.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Ast, S.

Bertolini, A.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Braginsky, V. B.

V. B. Braginsky, M. L. Gorodetsky, and S. P. Vyatchanin, “Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae,” Phys. Lett. A 264, 1–10 (1999).
[CrossRef]

Danzmann, K.

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).
[CrossRef]

DeSalvo, R.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Dooley, K. L.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Eberle, T.

Feldbaum, D.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Frey, B. J.

D. B. Leviton and B. J. Frey, “Temperature-dependent absolute refractive index measurements of synthetic fused silica,” arXiv:0805.0091 (2008).

Frolov, V. V.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Fujimoto, M.-K.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Fukushima, M.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Gorodetsky, M. L.

V. B. Braginsky, M. L. Gorodetsky, and S. P. Vyatchanin, “Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae,” Phys. Lett. A 264, 1–10 (1999).
[CrossRef]

Groß, T.

U. Willamowski, T. Groß, D. Ristau, and H. Welling, “Calorimetric measurement of optical absorption at 532 nm and 1064 nm according to ISO/FDIS 11551,” Proc. SPIE 2870, 483–494 (1996).
[CrossRef]

Hage, B.

B. Hage, A. Samblowski, and R. Schnabel, “Towards Einstein-Podolsky-Rosen quantum channel multiplexing,” Phys. Rev. A 81, 062301 (2010).
[CrossRef]

Haruyama, T.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Heintze, M.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Hello, P.

P. Hello and J. Vinet, “Numerical model of transient thermal effects in high power optical resonators,” J. Phys. France 3, 717 (1993).
[CrossRef]

P. Hello and J. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams,” J. Phys. France 51, 1267 (1990).
[CrossRef]

Hoak, D.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Ishizaki, H.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Izumi, K.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Khazanov, E. A.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Kuroda, K.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Lastzka, N.

Leviton, D. B.

D. B. Leviton and B. J. Frey, “Temperature-dependent absolute refractive index measurements of synthetic fused silica,” arXiv:0805.0091 (2008).

Lucianetti, A.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Márka, S.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Martin, R. M.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Mehmet, M.

Miyakawa, O.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Miyoki, S.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Müller, G.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Nakatani, I.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Nia, R. M.

Ohashi, M.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Palashov, O.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Quetschke, V.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Reitze, D. H.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Ristau, D.

U. Willamowski, T. Groß, D. Ristau, and H. Welling, “Calorimetric measurement of optical absorption at 532 nm and 1064 nm according to ISO/FDIS 11551,” Proc. SPIE 2870, 483–494 (1996).
[CrossRef]

Rüdiger, A.

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).
[CrossRef]

Saito, T.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Samblowski, A.

B. Hage, A. Samblowski, and R. Schnabel, “Towards Einstein-Podolsky-Rosen quantum channel multiplexing,” Phys. Rev. A 81, 062301 (2010).
[CrossRef]

Sannibale, V.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Sato, N.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Savage, R.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Schilling, R.

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).
[CrossRef]

Schnabel, R.

Schönbeck, A.

Shintomi, T.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Steinlechner, J.

Steinlechner, S.

Suzuki, T.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Takahashi, R.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Takamori, A.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Tanner, D. B.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Tatsumi, D.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Telada, S.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Tomaru, T.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Tsubono, K.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Uchiyama, T.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Uehara, N.

N. Uehara, “Ring mode cleaner for the initial LIGO 10 Watt laser,” Internal LIGO Report, Stanford University, Stanford, Calif., USA, 1997.

Vinet, J.

P. Hello and J. Vinet, “Numerical model of transient thermal effects in high power optical resonators,” J. Phys. France 3, 717 (1993).
[CrossRef]

P. Hello and J. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams,” J. Phys. France 51, 1267 (1990).
[CrossRef]

Vyatchanin, S. P.

V. B. Braginsky, M. L. Gorodetsky, and S. P. Vyatchanin, “Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae,” Phys. Lett. A 264, 1–10 (1999).
[CrossRef]

Wakabayashi, Y.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Welling, H.

U. Willamowski, T. Groß, D. Ristau, and H. Welling, “Calorimetric measurement of optical absorption at 532 nm and 1064 nm according to ISO/FDIS 11551,” Proc. SPIE 2870, 483–494 (1996).
[CrossRef]

Willamowski, U.

U. Willamowski, T. Groß, D. Ristau, and H. Welling, “Calorimetric measurement of optical absorption at 532 nm and 1064 nm according to ISO/FDIS 11551,” Proc. SPIE 2870, 483–494 (1996).
[CrossRef]

Williams, L. F.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Winkler, W.

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).
[CrossRef]

Wu, W.

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

Yamamoto, A.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Yamamoto, K.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Yamazaki, T.

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

Appl. Opt. (1)

Class. Quantum Grav. (1)

K. Arai, R. Takahashi, D. Tatsumi, K. Izumi, Y. Wakabayashi, H. Ishizaki, M. Fukushima, T. Yamazaki, M.-K. Fujimoto, A. Takamori, K. Tsubono, R. DeSalvo, A. Bertolini, S. Márka, V. Sannibale, T. Uchiyama, O. Miyakawa, S. Miyoki, K. Agatsuma, T. Saito, M. Ohashi, K. Kuroda, I. Nakatani, S. Telada, K. Yamamoto, T. Tomaru, T. Suzuki, T. Haruyama, N. Sato, A. Yamamoto, and T. Shintomi, “Status of Japanese gravitational wave detectors,” Class. Quantum Grav. 26, 204020 (2009).
[CrossRef]

J. Phys. France (2)

P. Hello and J. Vinet, “Analytical models of thermal aberrations in massive mirrors heated by high power laser beams,” J. Phys. France 51, 1267 (1990).
[CrossRef]

P. Hello and J. Vinet, “Numerical model of transient thermal effects in high power optical resonators,” J. Phys. France 3, 717 (1993).
[CrossRef]

Opt. Lett. (1)

Phys. Lett. A (1)

V. B. Braginsky, M. L. Gorodetsky, and S. P. Vyatchanin, “Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae,” Phys. Lett. A 264, 1–10 (1999).
[CrossRef]

Phys. Rev. A (2)

W. Winkler, K. Danzmann, A. Rüdiger, and R. Schilling, “Heating by optical absorption and the performance of interferometric gravitational-wave detectors,” Phys. Rev. A 44, 7022–7036 (1991).
[CrossRef]

B. Hage, A. Samblowski, and R. Schnabel, “Towards Einstein-Podolsky-Rosen quantum channel multiplexing,” Phys. Rev. A 81, 062301 (2010).
[CrossRef]

Proc. SPIE (1)

U. Willamowski, T. Groß, D. Ristau, and H. Welling, “Calorimetric measurement of optical absorption at 532 nm and 1064 nm according to ISO/FDIS 11551,” Proc. SPIE 2870, 483–494 (1996).
[CrossRef]

Other (7)

Photonic Cleaning Technologies, Platteville, Wis., USA http://www.photoniccleaning.com .

K. L. Dooley, M. A. Arain, D. Feldbaum, V. V. Frolov, M. Heintze, D. Hoak, E. A. Khazanov, A. Lucianetti, R. M. Martin, G. Müller, O. Palashov, V. Quetschke, D. H. Reitze, R. Savage, D. B. Tanner, L. F. Williams, and W. Wu, “Characterization of thermal effects in the Enhanced LIGO Input Optics,” arXiv:1112.1737v1 (2011).

ATFilms, USA, http://www.atfilms.com .

D. B. Leviton and B. J. Frey, “Temperature-dependent absolute refractive index measurements of synthetic fused silica,” arXiv:0805.0091 (2008).

Valley Design Corporation, Santa Cruz, Calif., USA http://www.valleydesign.com .

Corning Inc., USA, http://www.corning.com .

N. Uehara, “Ring mode cleaner for the initial LIGO 10 Watt laser,” Internal LIGO Report, Stanford University, Stanford, Calif., USA, 1997.

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Figures (4)

Fig. 1.
Fig. 1.

Scheme of the measurement technique. (a) Topology of the three-mirror ring cavity [7] with mirror power reflectivities R1R2<R31. δ(t) is the cavity round-trip phase change due to a piezoactuator mounted between the cavity spacer and mirror M3. A temperature change T(t) in the mirror due to absorption in the coating leads to a time-dependent phase for the incoupled field ϕin(t) with respect to the intracavity field. (b) Dashed curve: reflected Airy peak without absorption. Red narrow peak and blue broad peak: Airy peak influenced by photothermal self-phase modulation (for positive values of dn/dT and of the thermal expansion coefficient) for shortening and lengthening the cavity, respectively. Note that the peak deformations for shortening and lengthening are interchanged in comparison to bulk absorption measurements in [5].

Fig. 2.
Fig. 2.

Model for the phase shift in the incoupling mirror ϕin(t): The coating absorption of the cavity incoupling mirror leads to a phase shift of the input field.

Fig. 3.
Fig. 3.

Example of measured Airy peaks at an input power of 355 mW. On resonance, less than 10 mW were reflected as a result of nonperfect impedance matching due to losses within the cavity and as a result of nonperfect mode matching. A slow scan velocity induces a visible hysteresis due to heating. The points show the measured peak for shortening the cavity (light blue central) and for lengthening the cavity (orange outer). The curves show the best fits, respectively. The dashed curve represents the Airy peaks without thermal effect.

Fig. 4.
Fig. 4.

Individual measurement results for the absorption of sample A (diamonds) and sample B (circles). For each mirror sample, we performed several measurements with different scan velocities. The mean value and the standard deviation are given by the light blue solid lines. The orange dashed lines represent the mean value and standard deviation of the independently performed calorimetric measurements.

Tables (2)

Tables Icon

Table 1. Material and Geometric Parameters of the Corning 7980 Mirror Substrates and Our Cavity as Used for the Simulationsa

Tables Icon

Table 2. Results for the Reflections R1 and R˜2 and the Absorption α for Each Mirror Sample, A and B, and From All Measurements, AB¯a

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

an=i1R1aineiϕin(tn)+R1R˜2ei(δ+ϕrt)(tn)an1.

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