Abstract

In this Letter, the effects of the backreflection coefficient on a fiber ring laser gyroscope (FRLG) are discussed in detail. By applying the mode coupling equations, the eigenmodes in the FRLG are theoretically analyzed. We have found that the degree of intensity oscillation is intimately related to the backreflection coefficient in the FRLG; we have also explored the theoretical responding curve of FRLG. By utilizing a bidirectional filter with a tunable backreflection coefficient, our conclusions are proven. Two responding curves were obtained under two different backreflection coefficients, the scale factors of which are 1.4405kHz/deg·s1 and 1.3096kHz/deg·s1, respectively. The lock-in ranges of the curves are within 10deg/s and 15deg/s.

© 2012 Optical Society of America

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References

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    [CrossRef]
  2. J. R. Qian, J. Su, X. X. Wang, and B. Zhu, Chin. Opt. Lett. 5, 229 (2007).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2012

W. Ji, S. Chen, L. Fu, Z. Zou, and F. Rao, Opt. Eng. 51, 055001 (2012).
[CrossRef]

2010

J. Su and J. Qian, Chin. J. Laser 37, 2487 (2010), in Chinese.
[CrossRef]

2009

2008

S. Sunada, S. Tamura, K. Inagaki, and T. Harayama, Phys. Rev. A, 78, 053822 (2008).
[CrossRef]

2007

1998

J. Li, Y. L. Lam, and Y. Zhou, Proc. SPIE 3491, 920 (1998).
[CrossRef]

1996

R. Kiyan, S. K. Kim, and B. Y. Kim, IEEE Photon. Technol. Lett. 8, 1624 (1996).
[CrossRef]

1994

1991

1990

R. J. C. Spreeuw, R. Centeno Neelen, N. J. van Druten, E. R. Eliel, and J. P. Woerd, Phys. Rev. A 42, 4315 (1990).
[CrossRef]

Centeno Neelen, R.

R. Centeno Neelen, R. J. C. Spreeuw, E. R. Eliel, and J. P. WoerdJ. Opt. Soc. Am. B 8, 959 (1991).
[CrossRef]

R. J. C. Spreeuw, R. Centeno Neelen, N. J. van Druten, E. R. Eliel, and J. P. Woerd, Phys. Rev. A 42, 4315 (1990).
[CrossRef]

Chen, S.

W. Ji, S. Chen, L. Fu, Z. Zou, and F. Rao, Opt. Eng. 51, 055001 (2012).
[CrossRef]

Eliel, E. R.

R. Centeno Neelen, R. J. C. Spreeuw, E. R. Eliel, and J. P. WoerdJ. Opt. Soc. Am. B 8, 959 (1991).
[CrossRef]

R. J. C. Spreeuw, R. Centeno Neelen, N. J. van Druten, E. R. Eliel, and J. P. Woerd, Phys. Rev. A 42, 4315 (1990).
[CrossRef]

Feugnet, G.

Fu, L.

W. Ji, S. Chen, L. Fu, Z. Zou, and F. Rao, Opt. Eng. 51, 055001 (2012).
[CrossRef]

Gutty, F.

Harayama, T.

S. Sunada, S. Tamura, K. Inagaki, and T. Harayama, Phys. Rev. A, 78, 053822 (2008).
[CrossRef]

Inagaki, K.

S. Sunada, S. Tamura, K. Inagaki, and T. Harayama, Phys. Rev. A, 78, 053822 (2008).
[CrossRef]

Ji, W.

W. Ji, S. Chen, L. Fu, Z. Zou, and F. Rao, Opt. Eng. 51, 055001 (2012).
[CrossRef]

Kim, B. Y.

R. Kiyan, S. K. Kim, and B. Y. Kim, IEEE Photon. Technol. Lett. 8, 1624 (1996).
[CrossRef]

S. K. Kim, H. K. Kim, and B. Y. Kim, Opt. Lett. 19, 1810 (1994).
[CrossRef]

Kim, H. K.

Kim, S. K.

R. Kiyan, S. K. Kim, and B. Y. Kim, IEEE Photon. Technol. Lett. 8, 1624 (1996).
[CrossRef]

S. K. Kim, H. K. Kim, and B. Y. Kim, Opt. Lett. 19, 1810 (1994).
[CrossRef]

Kiyan, R.

R. Kiyan, S. K. Kim, and B. Y. Kim, IEEE Photon. Technol. Lett. 8, 1624 (1996).
[CrossRef]

Lam, Y. L.

J. Li, Y. L. Lam, and Y. Zhou, Proc. SPIE 3491, 920 (1998).
[CrossRef]

Li, J.

J. Li, Y. L. Lam, and Y. Zhou, Proc. SPIE 3491, 920 (1998).
[CrossRef]

Loil, É.

Pocholle, J.

Qian, J.

J. Su and J. Qian, Chin. J. Laser 37, 2487 (2010), in Chinese.
[CrossRef]

Qian, J. R.

Rao, F.

W. Ji, S. Chen, L. Fu, Z. Zou, and F. Rao, Opt. Eng. 51, 055001 (2012).
[CrossRef]

Schwartz, S.

Spreeuw, R. J. C.

R. Centeno Neelen, R. J. C. Spreeuw, E. R. Eliel, and J. P. WoerdJ. Opt. Soc. Am. B 8, 959 (1991).
[CrossRef]

R. J. C. Spreeuw, R. Centeno Neelen, N. J. van Druten, E. R. Eliel, and J. P. Woerd, Phys. Rev. A 42, 4315 (1990).
[CrossRef]

Su, J.

J. Su and J. Qian, Chin. J. Laser 37, 2487 (2010), in Chinese.
[CrossRef]

J. R. Qian, J. Su, X. X. Wang, and B. Zhu, Chin. Opt. Lett. 5, 229 (2007).

Sunada, S.

S. Sunada, S. Tamura, K. Inagaki, and T. Harayama, Phys. Rev. A, 78, 053822 (2008).
[CrossRef]

Tamura, S.

S. Sunada, S. Tamura, K. Inagaki, and T. Harayama, Phys. Rev. A, 78, 053822 (2008).
[CrossRef]

van Druten, N. J.

R. J. C. Spreeuw, R. Centeno Neelen, N. J. van Druten, E. R. Eliel, and J. P. Woerd, Phys. Rev. A 42, 4315 (1990).
[CrossRef]

Wang, X. X.

Woerd, J. P.

R. Centeno Neelen, R. J. C. Spreeuw, E. R. Eliel, and J. P. WoerdJ. Opt. Soc. Am. B 8, 959 (1991).
[CrossRef]

R. J. C. Spreeuw, R. Centeno Neelen, N. J. van Druten, E. R. Eliel, and J. P. Woerd, Phys. Rev. A 42, 4315 (1990).
[CrossRef]

Zhou, Y.

J. Li, Y. L. Lam, and Y. Zhou, Proc. SPIE 3491, 920 (1998).
[CrossRef]

Zhu, B.

Zou, Z.

W. Ji, S. Chen, L. Fu, Z. Zou, and F. Rao, Opt. Eng. 51, 055001 (2012).
[CrossRef]

Chin. J. Laser

J. Su and J. Qian, Chin. J. Laser 37, 2487 (2010), in Chinese.
[CrossRef]

Chin. Opt. Lett.

IEEE Photon. Technol. Lett.

R. Kiyan, S. K. Kim, and B. Y. Kim, IEEE Photon. Technol. Lett. 8, 1624 (1996).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Eng.

W. Ji, S. Chen, L. Fu, Z. Zou, and F. Rao, Opt. Eng. 51, 055001 (2012).
[CrossRef]

Opt. Lett.

Phys. Rev. A

R. J. C. Spreeuw, R. Centeno Neelen, N. J. van Druten, E. R. Eliel, and J. P. Woerd, Phys. Rev. A 42, 4315 (1990).
[CrossRef]

S. Sunada, S. Tamura, K. Inagaki, and T. Harayama, Phys. Rev. A, 78, 053822 (2008).
[CrossRef]

Proc. SPIE

J. Li, Y. L. Lam, and Y. Zhou, Proc. SPIE 3491, 920 (1998).
[CrossRef]

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Figures (4)

Fig. 1.
Fig. 1.

Intensity change of the bidirectional lights (a) without backreflection, W=0 and (b) with backreflection W0.

Fig. 2.
Fig. 2.

Schematic diagram of the FRLG with tunable backreflection coefficient PC-polarization controller; WDM—wavelength division multiplexing, OC—optical coupler.

Fig. 3.
Fig. 3.

Two counterpropagating lights in FRLG (a) CCW light and (b) CW light.

Fig. 4.
Fig. 4.

Responding curves of the FRLG with different backreflection coefficients.

Equations (8)

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

dE˜cw/dt=(aE˜cwiWccwE˜ccw)(|E˜cw|2+ε|E˜ccw|2)E˜cw,
dE˜ccw/dt=(aE˜ccwiWcwE˜cw)(|E˜ccw|2+ε|E˜cw|2)E˜ccw,
dE˜cw/dt=(aE˜cwiWccwE˜ccwiSΩ2E˜cw)(|E˜cw|2+ε|E˜ccw|2)E˜cw,
dE˜ccw/dt=(aE˜ccwiWcwE˜cw+iSΩ2E˜ccw)(|E˜ccw|2+ε|E˜cw|2)E˜ccw,
K˜=[ia+SΩ/2WWiaSΩ/2],
Eigenvalues:λ=ia±(SΩ2)2+W2.
Eigenvectors:[cosθsinθ][sinθcosθ],
ω21+φ˙21=Wcos(ω21t+φ21)Ecw2Eccw2EcwEccwSΩ,

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