Abstract

We demonstrate through theoretical analysis that unlike predicted by others, an unbiased coupled resonant optical waveguide (CROW) gyroscope made of $N$ ring resonators has a response to a rotation rate $\Omega$ that is proportional to $(N \Omega)^2$, and hence its sensitivity to small rotation rates is vanishingly small. We further establish that when proper phase bias is applied to the CROW gyro, this response becomes proportional to $N\Omega$ and the sensitivity to small rotation rates is then considerably larger. However, even after optimizing the CROW parameters ($N$ and the ring-to-ring coupling coefficient $\kappa$), the CROW gyro has about the same sensitivity as a conventional fiber optic gyroscope (FOG) with the same loop loss, detected power, and footprint. This maximum sensitivity is achieved for $N = 1$, i.e., when the CROW gyro resembles a resonant FOG. The only benefit of a CROW gyro is therefore that it requires a much shorter length of fiber, by a factor of about $1/ (2 \kappa)$, but at the expense of a stringent control of the rings' optical path lengths, as in a resonant FOG. Finally, we show that the slower apparent group velocity of light in a CROW gyro compared to a FOG is unrelated to this shorter length requirement.

© 2009 IEEE

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  1. M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of nonlinear phase sensitivity," J. Opt. Soc. Amer. B 19, 2052-2059 (2002).
  2. J. Scheuer, A. Yariv, "Sagnac effect in coupled-resonator slow-light waveguide structures," Phys. Rev. Lett. 96, 053901 (2006).
  3. G. Pavlath, "Fiber optic gyros: The vision realized," 18th Int. Optical Fiber Sensors Conf. Tech. Digest WashingtonDC (2006) Optical Society of America MA3.
  4. A. Yariv, Y. Xu, R. K. Lee, A. Scherer, "Coupled-resonator optical waveguide: A proposal and analysis," Opt. Lett. 24, 711-713 (1999).
  5. H. Lefèvre, The Fiber-Optic Gyroscope (Artech House, 1993).
  6. E. J. Post, "Sagnac effect," Rev. Mod. Phys. 39, 475 (1967).
  7. H. J. Arditty, H. C. Lefèvre, "Sagnac effect in fiber gyroscopes," Opt. Lett. 6, 401-403 (1981).
  8. M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, K. Salit, "Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light," Phys. Rev. A 75, 053807 (2007).
  9. A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, L. Maleki, "Optical Gyroscope with whispering gallery mode optical cavities," Opt. Commun 233, 107 (2004).
  10. A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, L. Maleki, "Erratum to Optical Gyroscope with whispering gallery mode optical cavities," Opt. Commun 259, 393 (2006).
  11. B. Z. Steinberg, J. Scheuer, A. Boag, "Rotation induced super structure in slow-light waveguides with mode degeneracy: Optical gyroscopes with exponential sensitivity," J. Opt. Soc. Amer. B 25, 1216-1224 (2007).

2007 (2)

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, K. Salit, "Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light," Phys. Rev. A 75, 053807 (2007).

B. Z. Steinberg, J. Scheuer, A. Boag, "Rotation induced super structure in slow-light waveguides with mode degeneracy: Optical gyroscopes with exponential sensitivity," J. Opt. Soc. Amer. B 25, 1216-1224 (2007).

2006 (2)

J. Scheuer, A. Yariv, "Sagnac effect in coupled-resonator slow-light waveguide structures," Phys. Rev. Lett. 96, 053901 (2006).

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, L. Maleki, "Erratum to Optical Gyroscope with whispering gallery mode optical cavities," Opt. Commun 259, 393 (2006).

2004 (1)

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, L. Maleki, "Optical Gyroscope with whispering gallery mode optical cavities," Opt. Commun 233, 107 (2004).

2002 (1)

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of nonlinear phase sensitivity," J. Opt. Soc. Amer. B 19, 2052-2059 (2002).

1999 (1)

1981 (1)

H. J. Arditty, H. C. Lefèvre, "Sagnac effect in fiber gyroscopes," Opt. Lett. 6, 401-403 (1981).

1967 (1)

E. J. Post, "Sagnac effect," Rev. Mod. Phys. 39, 475 (1967).

J. Opt. Soc. Amer. B (1)

M. Soljacic, S. G. Johnson, S. Fan, M. Ibanescu, E. Ippen, J. D. Joannopoulos, "Photonic-crystal slow-light enhancement of nonlinear phase sensitivity," J. Opt. Soc. Amer. B 19, 2052-2059 (2002).

J. Opt. Soc. Amer. B (1)

B. Z. Steinberg, J. Scheuer, A. Boag, "Rotation induced super structure in slow-light waveguides with mode degeneracy: Optical gyroscopes with exponential sensitivity," J. Opt. Soc. Amer. B 25, 1216-1224 (2007).

Opt. Lett. (1)

H. J. Arditty, H. C. Lefèvre, "Sagnac effect in fiber gyroscopes," Opt. Lett. 6, 401-403 (1981).

Opt. Commun (2)

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, L. Maleki, "Optical Gyroscope with whispering gallery mode optical cavities," Opt. Commun 233, 107 (2004).

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, L. Maleki, "Erratum to Optical Gyroscope with whispering gallery mode optical cavities," Opt. Commun 259, 393 (2006).

Opt. Lett. (1)

Phys. Rev. A (1)

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, K. Salit, "Ultrahigh enhancement in absolute and relative rotation sensing using fast and slow light," Phys. Rev. A 75, 053807 (2007).

Phys. Rev. Lett. (1)

J. Scheuer, A. Yariv, "Sagnac effect in coupled-resonator slow-light waveguide structures," Phys. Rev. Lett. 96, 053901 (2006).

Rev. Mod. Phys. (1)

E. J. Post, "Sagnac effect," Rev. Mod. Phys. 39, 475 (1967).

Other (2)

G. Pavlath, "Fiber optic gyros: The vision realized," 18th Int. Optical Fiber Sensors Conf. Tech. Digest WashingtonDC (2006) Optical Society of America MA3.

H. Lefèvre, The Fiber-Optic Gyroscope (Artech House, 1993).

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