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Theory of nonlinear Sagnac effect

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Abstrakty
EN
A nonlinear wave interaction is considered as a technique to increase the rotation sensitivity of the ring laser. The gyroscopic scale factor K is calculated in an active laser gyro with a dispersive medium. K is in reverse proportion to the group index n* = n + vdn/dv of the medium. In a monolithically-integrated GaAs ring laser, the value K ~ 5000 is obtainable (radius ~ 1 cm) in a linear case. In the presence of a strong wave, the dynamic nonlinear anomalous dispersion can provide an increase of K by 10-100 times in the vicinity of critical points where n* passes zero. An expression of K is derived for the nonlinear Sagnac effect. The nonlinear dispersion is discussed in terms of "slow/fast" light.
Twórcy
  • Center for High Technology Materials, University of New Mexico, 1313 Goddard SE, Albuquerque, NM 87106, USA, eliseev@chtm.unm.edu
Bibliografia
  • [1] A.H. Rosenthal, “Regenerative circulatory multiple-beam interferometry for the study of light propagation effects”, J. Opt. Soc. Am. 52, 1143 (1962).
  • [2] C.V. Heer, “Resonant frequencies of an electromagnetic cavity in an accelerated system of reference”, Phys. Rev. 134, A799-A802 (1964).
  • [3] A.M. Khromykh, “Ring generator in a rotating reference system”, Soviet Phys. JETP 23, 185-186 (1966).
  • [4] E.J. Post, “Sagnac effect”, Rev. Mod. Phys. 39, 475-493 (1967).
  • [5] A.P. Bogatov, P.G. Eliseev, and B.N. Sverdlov, “Injection laser with a ring resonator”, Short Commun. in Physics 8, 25-27 (1974). (in Russian)
  • [6] A.P. Bogatov, P.G. Eliseev, O.G. Okhotnikov, G.T. Pak, M.P. Rakhval’skii, and K.A. Khairetdinov, “CW oscillation in an injection laser with a ring resonator”, ZhTF Pis'ma 8, 799-803 (1982).
  • [7] K. Taguchi, K. Fukushima, A. Ishitani, and M. Ikeda, “Optical inertial rotation sensor using semiconductor ring laser”, Electron. Lett. 34, 1775-1776 (1998).
  • [8] A.F. Jezierski and P.J.R. Laybourn, “Integrated semiconductor ring lasers”, IEE Proc. Pt. J. 135, 17-24 (1988).
  • [9] H. Cao, C. Liu, H. Deng, M. Benavides, V. Smagley, R. Caldwell, G.M. Peak, G.A. Smolyakov, P.G. Eliseev, and M. Osinski, “Frequency beating between monolithically integrated semiconductor ring lasers”, Appl. Phys. Lett. 86, 041101 (2005).
  • [10] A.E. Kaplan and P. Meystre, “Enhancement of the Sagnac effect due to nonlinearly induced nonreciprocity”, Opt. Lett. 6, 590-592 (1981).
  • [11] A.P. Bogatov, P.G. Eliseev, and B.N. Sverdlov, “Anomalous interaction of spectral modes in a semiconductor laser”, IEEE J. Quant. Electron. 11, 510-515 (1975).
  • [12] P.G. Eliseev, “Spectral perturbation in semiconductor laser. II. Nonlinear mode interaction”, Quant. Electron. 35, 791-794 9(2005).
  • [13] S. Ezekiel, S.P. Smith, and F. Zarinetchi, “Basic principles of fiber-optic gyroscope”, in Optical Fiber Rotation Sensing, pp. 3-29, edited by W.K. Burns, Academic Press, Inc., Boston, 1994.
  • [14] G.C. Scorgie, “Relativistic kinematics of interferometry”, J. Phys. A 26, 3291-3299 (1993).
  • [15] J.R. Wilkinson, “Ring lasers”, Progress in Quant. Electron. 11, 2-103 (1987).
  • [16] T. Numai, “Beat frequency in a ring laser gyro with its refractive index over unity”, J. Appl. Phys. 89, 1537-1543 (2001).
  • [17] P.G. Eliseev, “On the calculation of the gyro-factor in a semiconductor ring laser”, Quant. Electron. 36, 738-740 (2006).
  • [18] P.G. Eliseev and A.P. Bogatov, “Phenomena in semiconductor lasers associated with non-linear refraction and the influence of current carriers on the refractive index”, in The Nonlinear Optics of Semiconductor Lasers, pp. 19-69, edited by N.G. Basov, Nova Sci. Publ., Commack, N.Y., 1987.
  • [19] A.V. Uskov and C. Chang-Hasnain, “Slow and superluminal light in semiconductor optical amplifiers”, Electron. Lett. 41, 55-56 (2005).
  • [20] K. Otsuka, “Nonlinear antiresonant ring interferometer”, Opt. Lett. 8, 471-473 (1983).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BWAK-0017-0002
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