Abstract

It may be advantageous in advanced gravitational-wave detectors to replace conventional beam splitters and Fabry-Perot input mirrors with diffractive elements. In each of these applications, the wavefront distortions produced by the absorption and subsequent heating of the grating can limit the maximum useful optical power. We present data on the wavefront distortions induced in a laser probe beam for both the reflected and diffracted beams from a grating that is heated by a Gaussian laser beam and compare these results to a simple theory of the wavefront distortions induced by thermoelastic deformations.

© 2007 Optical Society of America

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    [CrossRef]
  3. J. Hough, "GEO-HF--a GEO Upgrade 2008+," presented at the LIGO Science Collaboration Meeting, Hanford, Wash., August 16-19, 2004.
  4. G. Losurdo, "An outlook for Virgo upgrades," presented at the EGO [European Gravitational Observatory] Council, Cascina, Italy, June 16, 2005.
  5. S. Saraf, S. Sinha, A. K. Sridharan, and R. L. Byer, "100W, single frequency, diffraction-limited Nd:YAG MOPA for LIGO," in Conference on Lasers & Electro-Optics (CLEO), Vol. 88 of OSA Trends in Optics and Photonics, A.A.Sawchuk, ed. (Optical Society of America, 2003), pp. 2145-2147.
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  8. S. Traeger, P. Beyersdorf, L. Goddard, E. Gustafson, M. M. Fejer, and R. L. Byer, "Polarization Sagnac interferometer with a reflective grating beam splitter," Opt. Lett. 25, 722-724 (2000).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  20. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1965).

2004

2001

2000

S. Traeger, P. Beyersdorf, L. Goddard, E. Gustafson, M. M. Fejer, and R. L. Byer, "Polarization Sagnac interferometer with a reflective grating beam splitter," Opt. Lett. 25, 722-724 (2000).

S. Traeger, P. Beyersdorf, E. Gustafson, R. Beausoleil, R. K. Route, R. L. Byer, and M. M. Fejer, "All-reflective interferometry for gravitational-wave detection gravitational waves," AIP Conf. Proc. 523, 385-386 (2000).
[CrossRef]

1999

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

1998

1997

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

1991

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

1990

P. Hello and J. Y. Vinet, "Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams," French J. Phys. 51, 2243-2261 (1990).

P. Hello and J. Y. Vinet, "Analytical models of thermal aberrations in massive mirrors heated by high power laser beams," French J. Phys. 51, 1267-1282 (1990).

Abramowitz, M.

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1965).

Ando, M.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Arai, K.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Araya, A.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Beausoleil, R.

S. Traeger, P. Beyersdorf, E. Gustafson, R. Beausoleil, R. K. Route, R. L. Byer, and M. M. Fejer, "All-reflective interferometry for gravitational-wave detection gravitational waves," AIP Conf. Proc. 523, 385-386 (2000).
[CrossRef]

Beyersdorf, P.

A. Bunkowski, O. Burmeister, P. Beyersdorf, K. Danzmann, R. Schnabel, T. Clausnitzer, E. B. Kley, and A. Tunnermann, "Low-loss grating for coupling to a high-finesse cavity," Opt. Lett. 29, 2342-2344 (2004).
[CrossRef]

S. Traeger, P. Beyersdorf, E. Gustafson, R. Beausoleil, R. K. Route, R. L. Byer, and M. M. Fejer, "All-reflective interferometry for gravitational-wave detection gravitational waves," AIP Conf. Proc. 523, 385-386 (2000).
[CrossRef]

S. Traeger, P. Beyersdorf, L. Goddard, E. Gustafson, M. M. Fejer, and R. L. Byer, "Polarization Sagnac interferometer with a reflective grating beam splitter," Opt. Lett. 25, 722-724 (2000).

P. Beyersdorf, "A polarization Sagnac interferometer for gravitational wave detection," Ph.D. dissertation (Stanford University, 2001).

Boyd, R. D.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Britten, J. A.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Bunkowski, A.

A. Bunkowski, O. Burmeister, P. Beyersdorf, K. Danzmann, R. Schnabel, T. Clausnitzer, E. B. Kley, and A. Tunnermann, "Low-loss grating for coupling to a high-finesse cavity," Opt. Lett. 29, 2342-2344 (2004).
[CrossRef]

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Burmeister, O.

A. Bunkowski, O. Burmeister, P. Beyersdorf, K. Danzmann, R. Schnabel, T. Clausnitzer, E. B. Kley, and A. Tunnermann, "Low-loss grating for coupling to a high-finesse cavity," Opt. Lett. 29, 2342-2344 (2004).
[CrossRef]

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Byer, R. L.

J. Mansell, J. Hennawi, E. K. Gustafson, M. M. Fejer, R. L. Byer, D. Clubley, S. Yoshida, and D. H. Reitze, "Evaluating the effects of transmissive optic thermal lensing on laser beam quality with a Shack-Hartmann wave-front sensor," Appl. Opt. 40, 366-374 (2001).

S. Traeger, P. Beyersdorf, L. Goddard, E. Gustafson, M. M. Fejer, and R. L. Byer, "Polarization Sagnac interferometer with a reflective grating beam splitter," Opt. Lett. 25, 722-724 (2000).

S. Traeger, P. Beyersdorf, E. Gustafson, R. Beausoleil, R. K. Route, R. L. Byer, and M. M. Fejer, "All-reflective interferometry for gravitational-wave detection gravitational waves," AIP Conf. Proc. 523, 385-386 (2000).
[CrossRef]

K. Sun and R. L. Byer, "All-reflective Michelson, Sagnac, and Fabry-Perot interferometers based on grating beam splitters," Opt. Lett. 23, 567-569 (1998).

S. Saraf, S. Sinha, A. K. Sridharan, and R. L. Byer, "100W, single frequency, diffraction-limited Nd:YAG MOPA for LIGO," in Conference on Lasers & Electro-Optics (CLEO), Vol. 88 of OSA Trends in Optics and Photonics, A.A.Sawchuk, ed. (Optical Society of America, 2003), pp. 2145-2147.

Chow, R.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Clausnitzer, T.

Clausnizter, T.

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Clubley, D.

Danzmann, K.

A. Bunkowski, O. Burmeister, P. Beyersdorf, K. Danzmann, R. Schnabel, T. Clausnitzer, E. B. Kley, and A. Tunnermann, "Low-loss grating for coupling to a high-finesse cavity," Opt. Lett. 29, 2342-2344 (2004).
[CrossRef]

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

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Duparre, A.

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Feit, M. D.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Fejer, M. M.

Fritschel, P.

P. Fritschel, "The second generation LIGO [Laser Interferometer Gravitational-Wave Observatory] interferometers," in AIP Conf. Proc. 575, 15-23 (2001).

Fujimoto, M. K.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Fukushima, M.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Gliech, S.

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Goddard, L.

Gustafson, E.

S. Traeger, P. Beyersdorf, L. Goddard, E. Gustafson, M. M. Fejer, and R. L. Byer, "Polarization Sagnac interferometer with a reflective grating beam splitter," Opt. Lett. 25, 722-724 (2000).

S. Traeger, P. Beyersdorf, E. Gustafson, R. Beausoleil, R. K. Route, R. L. Byer, and M. M. Fejer, "All-reflective interferometry for gravitational-wave detection gravitational waves," AIP Conf. Proc. 523, 385-386 (2000).
[CrossRef]

Gustafson, E. K.

Haruyama, T.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Hello, P.

P. Hello and J. Y. Vinet, "Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams," French J. Phys. 51, 2243-2261 (1990).

P. Hello and J. Y. Vinet, "Analytical models of thermal aberrations in massive mirrors heated by high power laser beams," French J. Phys. 51, 1267-1282 (1990).

Hennawi, J.

Hough, J.

J. Hough, "GEO-HF--a GEO Upgrade 2008+," presented at the LIGO Science Collaboration Meeting, Hanford, Wash., August 16-19, 2004.

Ishizuka, H.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Kanda, N.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Kawabe, K.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Kawamura, S.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Kley, E. B.

A. Bunkowski, O. Burmeister, P. Beyersdorf, K. Danzmann, R. Schnabel, T. Clausnitzer, E. B. Kley, and A. Tunnermann, "Low-loss grating for coupling to a high-finesse cavity," Opt. Lett. 29, 2342-2344 (2004).
[CrossRef]

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Kuroda, K.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Lawrence, R.

R. Lawrence, "Active wavefront correction in laser interferometric gravitational wave detectors," Ph. D. dissertation (Massachusetts Institute of Technology, 2003), LIGO-P03000l-00-R.

Li, L.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Loomis, G. E.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Losurdo, G.

G. Losurdo, "An outlook for Virgo upgrades," presented at the EGO [European Gravitational Observatory] Council, Cascina, Italy, June 16, 2005.

Mansell, J.

Mio, N.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Miyoki, S.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Moriwaki, S.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Musha, M.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Nguyen, H. T.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Ohashi, M.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Perry, M. D.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Reitze, D. H.

Route, R. K.

S. Traeger, P. Beyersdorf, E. Gustafson, R. Beausoleil, R. K. Route, R. L. Byer, and M. M. Fejer, "All-reflective interferometry for gravitational-wave detection gravitational waves," AIP Conf. Proc. 523, 385-386 (2000).
[CrossRef]

Rudiger, A.

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

Saito, Y.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Saraf, S.

S. Saraf, S. Sinha, A. K. Sridharan, and R. L. Byer, "100W, single frequency, diffraction-limited Nd:YAG MOPA for LIGO," in Conference on Lasers & Electro-Optics (CLEO), Vol. 88 of OSA Trends in Optics and Photonics, A.A.Sawchuk, ed. (Optical Society of America, 2003), pp. 2145-2147.

Sato, N.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Sato, S.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Schilling, R.

W. Winkler, K. Danzmann, A. Rudiger, 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.

A. Bunkowski, O. Burmeister, P. Beyersdorf, K. Danzmann, R. Schnabel, T. Clausnitzer, E. B. Kley, and A. Tunnermann, "Low-loss grating for coupling to a high-finesse cavity," Opt. Lett. 29, 2342-2344 (2004).
[CrossRef]

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Shintomi, T.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Shore, B. W.

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Sinha, S.

S. Saraf, S. Sinha, A. K. Sridharan, and R. L. Byer, "100W, single frequency, diffraction-limited Nd:YAG MOPA for LIGO," in Conference on Lasers & Electro-Optics (CLEO), Vol. 88 of OSA Trends in Optics and Photonics, A.A.Sawchuk, ed. (Optical Society of America, 2003), pp. 2145-2147.

Sridharan, A. K.

S. Saraf, S. Sinha, A. K. Sridharan, and R. L. Byer, "100W, single frequency, diffraction-limited Nd:YAG MOPA for LIGO," in Conference on Lasers & Electro-Optics (CLEO), Vol. 88 of OSA Trends in Optics and Photonics, A.A.Sawchuk, ed. (Optical Society of America, 2003), pp. 2145-2147.

Stegun, I.

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1965).

Sun, K.

Suzuki, T.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Takahashi, R.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Tatsumi, D.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Telada, S.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Tobar, M. E.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Traeger, S.

S. Traeger, P. Beyersdorf, E. Gustafson, R. Beausoleil, R. K. Route, R. L. Byer, and M. M. Fejer, "All-reflective interferometry for gravitational-wave detection gravitational waves," AIP Conf. Proc. 523, 385-386 (2000).
[CrossRef]

S. Traeger, P. Beyersdorf, L. Goddard, E. Gustafson, M. M. Fejer, and R. L. Byer, "Polarization Sagnac interferometer with a reflective grating beam splitter," Opt. Lett. 25, 722-724 (2000).

Tsubono, K.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Tunnermann, A.

A. Bunkowski, O. Burmeister, P. Beyersdorf, K. Danzmann, R. Schnabel, T. Clausnitzer, E. B. Kley, and A. Tunnermann, "Low-loss grating for coupling to a high-finesse cavity," Opt. Lett. 29, 2342-2344 (2004).
[CrossRef]

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

Tyson, R.

R. Tyson, Principles of Adaptive Optics, 2nd ed. (Academic, 1998).

Ueda, A.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Ueda, K. I.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Vinet, J. Y.

P. Hello and J. Y. Vinet, "Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams," French J. Phys. 51, 2243-2261 (1990).

P. Hello and J. Y. Vinet, "Analytical models of thermal aberrations in massive mirrors heated by high power laser beams," French J. Phys. 51, 1267-1282 (1990).

Waseda, K.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Winkler, W.

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

W. Winkler, "The optics of an interferometric gravitational-wave antenna," in Proceedings of the 81 WE-Heraeus-Seminar Held at the Physikzentrum Bad Honnef, J.Ehlers, and G.Schafer, eds. (Springer-Verlag, 1991).

Yamamoto, A.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Yamazaki, T.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Yoneda, H.

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

Yoshida, S.

AIP Conf. Proc.

P. Fritschel, "The second generation LIGO [Laser Interferometer Gravitational-Wave Observatory] interferometers," in AIP Conf. Proc. 575, 15-23 (2001).

S. Traeger, P. Beyersdorf, E. Gustafson, R. Beausoleil, R. K. Route, R. L. Byer, and M. M. Fejer, "All-reflective interferometry for gravitational-wave detection gravitational waves," AIP Conf. Proc. 523, 385-386 (2000).
[CrossRef]

Appl. Opt.

French J. Phys.

P. Hello and J. Y. Vinet, "Analytical models of transient thermoelastic deformations of mirrors heated by high power cw laser beams," French J. Phys. 51, 2243-2261 (1990).

P. Hello and J. Y. Vinet, "Analytical models of thermal aberrations in massive mirrors heated by high power laser beams," French J. Phys. 51, 1267-1282 (1990).

Int. J. Mod. Phys. D

K. Kuroda, M. Ohashi, S. Miyoki, D. Tatsumi, S. Sato, H. Ishizuka, M. K. Fujimoto, S. Kawamura, R. Takahashi, T. Yamazaki, K. Arai, M. Fukushima, K. Waseda, S. Telada, A. Ueda, T. Shintomi, A. Yamamoto, T. Suzuki, Y. Saito, T. Haruyama, N. Sato, K. Tsubono, K. Kawabe, M. Ando, K. I. Ueda, H. Yoneda, M. Musha, N. Mio, S. Moriwaki, A. Araya, N. Kanda, and M. E. Tobar, "Large-scale cryogenic gravitational wave telescope," Int. J. Mod. Phys. D 8, 557-579 (1999).
[CrossRef]

J. Opt. Soc. Am. B

B. W. Shore, M. D. Perry, J. A. Britten, R. D. Boyd, M. D. Feit, H. T. Nguyen, R. Chow, G. E. Loomis, and L. Li, "Design of high-efficiency dielectric reflection gratings," J. Opt. Soc. Am. B 14, 1124-1136 (1997).

Opt. Lett.

Phys. Rev. A

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

Other

W. Winkler, "The optics of an interferometric gravitational-wave antenna," in Proceedings of the 81 WE-Heraeus-Seminar Held at the Physikzentrum Bad Honnef, J.Ehlers, and G.Schafer, eds. (Springer-Verlag, 1991).

P. Beyersdorf, "A polarization Sagnac interferometer for gravitational wave detection," Ph.D. dissertation (Stanford University, 2001).

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1965).

R. Tyson, Principles of Adaptive Optics, 2nd ed. (Academic, 1998).

J. Hough, "GEO-HF--a GEO Upgrade 2008+," presented at the LIGO Science Collaboration Meeting, Hanford, Wash., August 16-19, 2004.

G. Losurdo, "An outlook for Virgo upgrades," presented at the EGO [European Gravitational Observatory] Council, Cascina, Italy, June 16, 2005.

S. Saraf, S. Sinha, A. K. Sridharan, and R. L. Byer, "100W, single frequency, diffraction-limited Nd:YAG MOPA for LIGO," in Conference on Lasers & Electro-Optics (CLEO), Vol. 88 of OSA Trends in Optics and Photonics, A.A.Sawchuk, ed. (Optical Society of America, 2003), pp. 2145-2147.

R. Lawrence, "Active wavefront correction in laser interferometric gravitational wave detectors," Ph. D. dissertation (Massachusetts Institute of Technology, 2003), LIGO-P03000l-00-R.

T. Clausnizter, E. B. Kley, A. Tunnermann, A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel, A. Duparre, and S. Gliech, "Low-loss gratings for next-generation gravitational wave detectors,"in Advances in Thin-Film Coatings for Optical Applications II, M. L. Fulton and J. P. Jruschwitz, eds., Proc. SPIE 5870, 1-8 (2005).

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