Abstract

In this Letter, the beat frequency at rest of a ring laser gyroscope with nonlinear effects is discussed in detail. Even without an additional intensity-stabilizing system, the random nullshift bias induced by the Kerr effect is compensated by the phase shift associated with the stimulated Brillouin/Raman scattering. And the nonlinear stimulated scattering also serves as the gain mechanism of the gyroscope. And thus the influence of the fluctuation of the injected pump intensity on the beat frequency is eliminated.

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References

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  1. W. M. Macek and D. T. M. Davis, Appl. Phys. Lett. 2, 67 (1963).
    [CrossRef]
  2. F. Aronowitz, Laser Applications (Academic, 1971), p. 133.
  3. F. Zarinetchi, S. P. Smith, and S. Ezekiel, Opt. Lett. 16, 229 (1991).
    [CrossRef]
  4. Z. Luo, X. Yuan, W. Ye, C. Zeng, and J. Ji, Chin. Phys. B 20, 24205 (2011).
    [CrossRef]
  5. K. Iwatsuki, K. Hotate, and M. Higashiguchi, IEEE J. Lightwave Technol. LT-4, 645 (1986).
    [CrossRef]
  6. K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
    [CrossRef]
  7. S. Huang, L. Thkvenaz, K. Toyama, B. Y. Kim, and H. Shaw, IEEE Photon. Technol. Lett. 5, 365 (1993).
    [CrossRef]
  8. K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
    [CrossRef]
  9. R. W. Boyd, Nonlinear Optics, 2nd ed. (Academic, 2003).
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    [CrossRef]
  11. D. Faccio, M. Clerici, A. Averchi, O. Jedrkiewicz, S. Tzortzakis, D. G. Papazoglou, F. Bragheri, L. Tartara, A. Trita, S. Henin, I. Cristiani, A. Couairon, and P. di Trapani, Opt. Express 16, 8213 (2008).
    [CrossRef]
  12. H. K. Tsang and Y. Liu, Semicond. Sci. Technol. 23, 64007 (2008).
    [CrossRef]

2011 (1)

Z. Luo, X. Yuan, W. Ye, C. Zeng, and J. Ji, Chin. Phys. B 20, 24205 (2011).
[CrossRef]

2008 (2)

1993 (1)

S. Huang, L. Thkvenaz, K. Toyama, B. Y. Kim, and H. Shaw, IEEE Photon. Technol. Lett. 5, 365 (1993).
[CrossRef]

1992 (2)

K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
[CrossRef]

K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
[CrossRef]

1991 (1)

1989 (1)

K. W. DeLong, K. B. Rochford, and G. I. Stegeman, Appl. Phys. Lett. 551823 (1989).
[CrossRef]

1986 (1)

K. Iwatsuki, K. Hotate, and M. Higashiguchi, IEEE J. Lightwave Technol. LT-4, 645 (1986).
[CrossRef]

1963 (1)

W. M. Macek and D. T. M. Davis, Appl. Phys. Lett. 2, 67 (1963).
[CrossRef]

Aronowitz, F.

F. Aronowitz, Laser Applications (Academic, 1971), p. 133.

Averchi, A.

Boyd, R. W.

R. W. Boyd, Nonlinear Optics, 2nd ed. (Academic, 2003).

Bragheri, F.

Clerici, M.

Couairon, A.

Cristiani, I.

Davis, D. T. M.

W. M. Macek and D. T. M. Davis, Appl. Phys. Lett. 2, 67 (1963).
[CrossRef]

DeLong, K. W.

K. W. DeLong, K. B. Rochford, and G. I. Stegeman, Appl. Phys. Lett. 551823 (1989).
[CrossRef]

di Trapani, P.

Ezekiel, S.

Faccio, D.

Henin, S.

Higashiguchi, M.

K. Iwatsuki, K. Hotate, and M. Higashiguchi, IEEE J. Lightwave Technol. LT-4, 645 (1986).
[CrossRef]

Hotate, K.

K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
[CrossRef]

K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
[CrossRef]

K. Iwatsuki, K. Hotate, and M. Higashiguchi, IEEE J. Lightwave Technol. LT-4, 645 (1986).
[CrossRef]

Huang, S.

S. Huang, L. Thkvenaz, K. Toyama, B. Y. Kim, and H. Shaw, IEEE Photon. Technol. Lett. 5, 365 (1993).
[CrossRef]

Iwatsuki, K.

K. Iwatsuki, K. Hotate, and M. Higashiguchi, IEEE J. Lightwave Technol. LT-4, 645 (1986).
[CrossRef]

Jedrkiewicz, O.

Ji, J.

Z. Luo, X. Yuan, W. Ye, C. Zeng, and J. Ji, Chin. Phys. B 20, 24205 (2011).
[CrossRef]

Kim, B. Y.

S. Huang, L. Thkvenaz, K. Toyama, B. Y. Kim, and H. Shaw, IEEE Photon. Technol. Lett. 5, 365 (1993).
[CrossRef]

Liu, Y.

H. K. Tsang and Y. Liu, Semicond. Sci. Technol. 23, 64007 (2008).
[CrossRef]

Luo, Z.

Z. Luo, X. Yuan, W. Ye, C. Zeng, and J. Ji, Chin. Phys. B 20, 24205 (2011).
[CrossRef]

Macek, W. M.

W. M. Macek and D. T. M. Davis, Appl. Phys. Lett. 2, 67 (1963).
[CrossRef]

Papazoglou, D. G.

Rochford, K. B.

K. W. DeLong, K. B. Rochford, and G. I. Stegeman, Appl. Phys. Lett. 551823 (1989).
[CrossRef]

Shaw, H.

S. Huang, L. Thkvenaz, K. Toyama, B. Y. Kim, and H. Shaw, IEEE Photon. Technol. Lett. 5, 365 (1993).
[CrossRef]

Smith, S. P.

Stegeman, G. I.

K. W. DeLong, K. B. Rochford, and G. I. Stegeman, Appl. Phys. Lett. 551823 (1989).
[CrossRef]

Takiguchi, K.

K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
[CrossRef]

K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
[CrossRef]

Tartara, L.

Thkvenaz, L.

S. Huang, L. Thkvenaz, K. Toyama, B. Y. Kim, and H. Shaw, IEEE Photon. Technol. Lett. 5, 365 (1993).
[CrossRef]

Toyama, K.

S. Huang, L. Thkvenaz, K. Toyama, B. Y. Kim, and H. Shaw, IEEE Photon. Technol. Lett. 5, 365 (1993).
[CrossRef]

Trita, A.

Tsang, H. K.

H. K. Tsang and Y. Liu, Semicond. Sci. Technol. 23, 64007 (2008).
[CrossRef]

Tzortzakis, S.

Ye, W.

Z. Luo, X. Yuan, W. Ye, C. Zeng, and J. Ji, Chin. Phys. B 20, 24205 (2011).
[CrossRef]

Yuan, X.

Z. Luo, X. Yuan, W. Ye, C. Zeng, and J. Ji, Chin. Phys. B 20, 24205 (2011).
[CrossRef]

Zarinetchi, F.

Zeng, C.

Z. Luo, X. Yuan, W. Ye, C. Zeng, and J. Ji, Chin. Phys. B 20, 24205 (2011).
[CrossRef]

Appl. Phys. Lett. (2)

K. W. DeLong, K. B. Rochford, and G. I. Stegeman, Appl. Phys. Lett. 551823 (1989).
[CrossRef]

W. M. Macek and D. T. M. Davis, Appl. Phys. Lett. 2, 67 (1963).
[CrossRef]

Chin. Phys. B (1)

Z. Luo, X. Yuan, W. Ye, C. Zeng, and J. Ji, Chin. Phys. B 20, 24205 (2011).
[CrossRef]

IEEE J. Lightwave Technol. (1)

K. Iwatsuki, K. Hotate, and M. Higashiguchi, IEEE J. Lightwave Technol. LT-4, 645 (1986).
[CrossRef]

IEEE Photon. Technol. Lett. (3)

K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
[CrossRef]

S. Huang, L. Thkvenaz, K. Toyama, B. Y. Kim, and H. Shaw, IEEE Photon. Technol. Lett. 5, 365 (1993).
[CrossRef]

K. Takiguchi and K. Hotate, IEEE Photon. Technol. Lett. 4, 203 (1992).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Semicond. Sci. Technol. (1)

H. K. Tsang and Y. Liu, Semicond. Sci. Technol. 23, 64007 (2008).
[CrossRef]

Other (2)

F. Aronowitz, Laser Applications (Academic, 1971), p. 133.

R. W. Boyd, Nonlinear Optics, 2nd ed. (Academic, 2003).

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Figures (1)

Fig. 1.
Fig. 1.

Experimental setup of an SBS fiber RLG.

Equations (13)

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4u(ζ˙/ζ)=2PmαL+(iωm/L)E^m*·ΔεdsE^mdσ,
u=12E^m*·εLE^mdσ
Pm=14e^s·(E^m*×H^m+E^m×H^m*)dσ,
E(r,t)=ζ(t)ξ(s)E^m(r)exp[i(βmsωmt)].
(1/L)|E|2ds=|ζ|2|E^m|2,
Δε±=ε0(χK+iχT)(2|Ep+|2+2|Ep|2+2|E|2+|E±|2)+ε0χBγΩωp+ω±+iγ|Ep|2,
Ep±(r,t)=ζp±(t)ξp±(s)E^p(r)exp[i(βp±sωp±t)],
I˙±I±=PmuαL+2ωmuκspγ2χBIp(Ωωp+ω±)2+γ22ωmu[2κspχT(Ip++Ip)+κssχT(2I+I±)]
φ˙±=ωmuκspγ(Ωωp+ω±)χBIp(Ωωp+ω±)2+γ2+ωmu[2κspχK(Ip++Ip)+κssχK(2I+I±)],
κss=14wvgε0(E^m*·E^m)2dσ;κsp=14wvgε0(E^m*·E^m)(E^p*·E^p)dσ.
ωB=ω+ω=(ωmφ˙+)(ωmφ˙)=φ˙φ˙+=ωmκssuχKΔI+ωmγκspu[(Ωωp++ω)(Ωωp+ω+)γ2](Δωp+Δω)[(Ωωp++ω)2+γ2][(Ωωp+ω+)2+γ2]χBIp+ωmγκspu[(Ωωp++ω)(Ωωp+ω+)+γ2](Ωωp+ω)[(Ωωp++ω)2+γ2][(Ωωp+ω+)2+γ2]χBΔIp,
2Ip=Ip++Ip;2I=I++I;2ωp=ωp++ωp;2ω=ω++ω;ΔIp=Ip+Ip;ΔI=I+I;Δωp=ωp+ωp;Δω=ω+ω
ωB=ωmγχBκspuδω2+2Fγδωγ214(Δωp+Δω)2[(Ωωp++ω)2+γ2][(Ωωp+ω+)2+γ2](Δωp+Δω)Ip+ωmγχBκspu(δω2+γ2)(Fγ+δω)+14(Δωp+Δω)2(Fγδω)[(Ωωp++ω)2+γ2][(Ωωp+ω+)2+γ2]ΔIp,

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