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1. M.L. Gorodetsky, V.S. Ilchenko, \High-Q optical whispering-gallery microresonators: precession approach for spherical mode analysis and emission patterns with prism couplers", { Opt.Commun., 1994, v.113, p.133143. 2. M.L. Gorodetsky, V.S. Ilchenko, A.A. Savchenko, \On the ultimate Q of optical microsphere resonators", { Proc. of SPIE 2799 (1995) 389. 3. M.L. Gorodetsky, V.S. Ilchenko, A.A. Savchenko, \Ultimate Q of optical microsphere resonators", { Opt. Lett. 21 (1996) 453. 4. V.B. Braginsky, M.L. Gorodetsky and F.Ya. Khalili, \The scheme of QND meter of microwave quadrature amplitude" { Applied Physics B64, (1997) 243. 5. V.V. Vassiliev, V.L. Velichansky,V.S. Ilchenko, M.L. Gorodetsky,L.Hollberg and A.V. Yarovitsky, \Narrow-line-width diode laser with a high-Q microsphere resonator", Opt. Comm. 158 (1998) 305. 6. V.B. Braginsky, M.L. Gorodetsky and F.Ya. Khalili, \Optical bars in gravitational wave antennas", { Phys. Lett. A232 (1997) 340.

21


7. V.B. Braginsky, M.L. Gorodetsky and F.Ya. Khalili, \Quantum limits and symphotonic states in free-mass gravitational-wave", { Phys. Lett. A246 (1998) 485. 8. M.L. Gorodetsky, A.A. Savchenkov, V.S. Ilchenko, \Optical microsphere resonators: optimal couping and the ultimate Q", { Proc. SPIE 3267 (1998) 251. 9. M.L. Gorodetsky, V.S. Ilchenko, \Optical microsphere resonators: optimal couping to high-Q whispering-gallery modes". { JOSA B16, (1999) 147. 10. Gorodetsky M.L., Ilchenko V.S., Pryamikov A.D. \Intracavity Rayleigh scattering in microspheres: limits imposed on quality-factor and mode coupling", { Proc. SPIE 3611 (1999) 206. 11. . . , .. ,\ ", { ,

368 (1999) 612.

12. V.B. Braginsky, M.L. Gorodetsky and S.P.Vyatchanin, \Thermodynamical uctuations and photo-thermal shot noise in gravitational waveantennae", { Phys. Lett. A264 (1999) 1. 13. V.B. Braginsky, M.L. Gorodetsky, F.Ya. Khalili, K.S. Thorne, \Dualresonator speed meter for a free test mass", { Phys. Rev. D61 (2000) 4002. 14. M.L. Gorodetsky, A.D. Pryamikov, V.S. Ilchenko, \Rayleigh scattering in high-Q microspheres" { J.Opt.Soc.Am. B17 (2000) 1051. 15. V.B. Braginsky, M.L. Gorodetsky and S.P.Vyatchanin, \Thermo-refractive noise in gravitational wave antennae", { Phys. Lett. A271 (2000) 303. 16. . . , .. , N5 (2000) 55. , .. ", { , .. , ,\ .3, .

,
22


17. M.L. Gorodetsky, V.S. Ilchenko and A.A.Savchenkov, \On the ultimate Q of spherical dielectric microresonators", ICONO/LaserOptics'95, ., . 18. V.V. Vasiliev, V.L. Velichansky, M.L. Gorodetsky, V.S. Ilchenko, A.V. Yarovitsky and L. Hollberg, \Laser diode with external microresonator" ICONO/LaserOptics'95, ., . 19. M.L. Gorodetsky, A.A. Savchenkov, V.S. Ilchenko, \Optical microsphere resonators: optimal couping and the ultimate Q", Photonics West'98, , , . 20. Gorodetsky M.L., Ilchenko V.S., Pryamikov A.D. \IntracavityRayleigh scattering in microspheres: limits imposed on quality-factor and mode coupling", Photonics West'99, , , . 21. V.B. Braginsky, M.L. Gorodetsky, F.Ya. Khalili, K.S. Thorne, Energetic Quantum Limit in Large-Scale Interferometers, Proc. of the 1999 Edoardo Amaldi Conference on Gravitational Waves gr-qc/9907057.

1] V.B. Braginsky, F.Ya. Khalili, Rev. Mod. Phys., 2] P. Grangier et al., Nature,

396 (1998) 537.

68 (1996) 1. 83 (1999) 4987.

3] J. Ye, D.W. Vernoy, and H.J. Kimble, Phys. Rev. Lett.,

4] P.W. Shor, Proc. 35th Annual Symp. on Foundations of Computer Science, Santa Fe, IEEE Computer Soc. Press, 1994 lanl e-print quantph/9508027. 5] C.H. Bennett, F. Bessette. G. Brassard, L. Savail and J. Smolin, J.Cryptology, 5 (1992) 3. 6] C.H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres and W.K. Wooters, Phys. Rev. Letts. 70 (1993) 1895. 7] A. Rauschenbeutel, G. Nogues, S. Osnaghi, P. Bertet, M. Brune, J.M. Raimond, S. Haroche, Phys. Rev. Letts. 83 (1999) 5166.
23


8] B.T.H. Varcoe, S. Brattke, M. Weldinger, Walther H., Nature 403 (2000) 743. 9] V.B. Braginsky, F.Ya. Khalili,\Quantum Measurement", chap. VI, ed. by K.S. Thorne, Cambridge Univ. Press, 1992. 10] V.B. Braginsky, M.L. Gorodetsky, V.S. Ilchenko, Phys. Lett. A137, (1989) 393. 11] H. Mabuchi, H.J. Kimble, Opt. Lett. 19 (1994) 749. 12] L. Collot, V. Lefevre-Seguin, M. Brune, J. -M. Raimond, S. Haroche, Europhys. Lett. 23 (1993) 327. 13] . . , .. , , 32 (1987) 36. 14] V.B. Braginsky, M.L. Gorodetsky, V.S. Ilchenko, Proc. SPIE, 2097 (1993) 283. 15] D.A. Pinnow, T.C. Rich, F.W. Ostermayer, M. DiDomenico, Appl. Phys. Lett. 22 (1973) 527. 16] . . , .. .. , 56 (1992) 274. 17] D. W. Vernooy, V. S. Ilchenko, H. Mabuchi, E. W. Streed and H. J. Kimble, Opt. Lett. 23 (1998) 247. 18] V.V. Vasiliev, V.L. Velichansky, M.L. Gorodetsky, V.S. Ilchenko, L. Hollberg, A.V. Yarovitsky, Quantum Electronics, Quantum Electronics 26 (1996) 657. 19] V. V. Vasiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, A. V. Yarovitsky, Opt. Commun. 158 (1998) 305. 20] J.A.C. Gallas, G. Leuchs, H. Walther and H. Figger in Advances in Atomic and Molecular Physics 20, ed. by D. Bates and B. Bederson (Academic Press, New York 1985), p.413 21] . . , .. , .. , , 52 (1980) 341.
24


22] . .

,

,

170 (2000) 743.

23] P. Carrusers, M. Nieto, Rev. Mod. Phys.

40 (1968) 411.

25