Abstract

We describe theoretically and demonstrate experimentally the principle of a simple technique to reduce substantially the Kerr-induced rotation-rate error in fiber-optic gyroscopes. It consists of modulating the source intensity to adjust the nonlinear interaction between the counterpropagating waves.

© 1982 Optical Society of America

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References

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  1. A. E. Kaplan, P. Meytre, “Enhancement of the Sagnac effect due to nonlinearly induced nonreciprocity,” Opt. Lett. 6, 590 (1981).
    [CrossRef] [PubMed]
  2. S. Ezekiel, J. L. Davis, R. Hellwarth, “Intensity dependent nonreciprocal phase shift in fiber gyro,” in Proceedings of the International Conference on Fiberoptic Rotation Sensors and Related Technologies (Springer-Verlag, New York, 1982).
  3. K. Böhm, P. Marten, K. Petermann, E. Weidel, R. Ulrich, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352 (1981).
    [CrossRef]
  4. R. A. Bergh, H. C. Lefevre, H. J. Shaw, “All-single-mode fiber-optic gyroscope with long term stability,” Opt. Lett. 6, 502 (1981).
    [CrossRef] [PubMed]
  5. J. L. Davis, S. Ezekiel, “Closed-loop, low noise fiber-optic rotation sensor,” Opt. Lett. 6, 505 (1981).
    [CrossRef] [PubMed]
  6. H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, “Re-entrant fiber-optic approach to rotation sensing,” Proc. Soc. Photo-Opt. Instrum. Eng. 157, 138 (1978).
  7. E. C. Kintner, “Polarization control in optical-fiber gyroscopes,” Opt. Lett. 6, 154 (1981).
    [CrossRef] [PubMed]
  8. H. Arditty, M. Papuchon, C. Puech, K. Thyagarapan, “Recent developments in guided wave optical rotation sensors,” in Digest of Topical Meeting on Integrated and Guided-Waue Optics (Optical Society of America, Washington, D.C., 1980).
  9. R. Ulrich, “Fiber-optic rotation sensing with low drift,” Opt. Lett. 5, 173 (1980).
    [CrossRef] [PubMed]
  10. R. A. Bergh, H. C. Lefevre, H. J. Shaw, “All single-mode fiber-optic gyroscope,” Opt. Lett. 6, 198 (1981).
    [CrossRef] [PubMed]
  11. C. C. Cutler, S. A. Newton, H. J. Shaw, “Limitation of rotation sensing by scattering,” Opt. Lett. 5, 488 (1980).
    [CrossRef] [PubMed]
  12. K. Böhm, P. Russer, E. Weidel, R. Ulrich, “Low-noise fiber-optic rotation sensing,” Opt. Lett. 6, 64 (1981).
    [CrossRef] [PubMed]
  13. D. M. Fye, “Relation of carrier-induced index change to the development of feedback noise in diode lasers,” in Technical Digest of Topical Meeting on Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1982).

1981 (7)

1980 (2)

1978 (1)

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, “Re-entrant fiber-optic approach to rotation sensing,” Proc. Soc. Photo-Opt. Instrum. Eng. 157, 138 (1978).

Arditty, H.

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, “Re-entrant fiber-optic approach to rotation sensing,” Proc. Soc. Photo-Opt. Instrum. Eng. 157, 138 (1978).

H. Arditty, M. Papuchon, C. Puech, K. Thyagarapan, “Recent developments in guided wave optical rotation sensors,” in Digest of Topical Meeting on Integrated and Guided-Waue Optics (Optical Society of America, Washington, D.C., 1980).

Bergh, R. A.

Böhm, K.

K. Böhm, P. Marten, K. Petermann, E. Weidel, R. Ulrich, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352 (1981).
[CrossRef]

K. Böhm, P. Russer, E. Weidel, R. Ulrich, “Low-noise fiber-optic rotation sensing,” Opt. Lett. 6, 64 (1981).
[CrossRef] [PubMed]

Chodorow, M.

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, “Re-entrant fiber-optic approach to rotation sensing,” Proc. Soc. Photo-Opt. Instrum. Eng. 157, 138 (1978).

Cutler, C. C.

Davis, J. L.

J. L. Davis, S. Ezekiel, “Closed-loop, low noise fiber-optic rotation sensor,” Opt. Lett. 6, 505 (1981).
[CrossRef] [PubMed]

S. Ezekiel, J. L. Davis, R. Hellwarth, “Intensity dependent nonreciprocal phase shift in fiber gyro,” in Proceedings of the International Conference on Fiberoptic Rotation Sensors and Related Technologies (Springer-Verlag, New York, 1982).

Ezekiel, S.

J. L. Davis, S. Ezekiel, “Closed-loop, low noise fiber-optic rotation sensor,” Opt. Lett. 6, 505 (1981).
[CrossRef] [PubMed]

S. Ezekiel, J. L. Davis, R. Hellwarth, “Intensity dependent nonreciprocal phase shift in fiber gyro,” in Proceedings of the International Conference on Fiberoptic Rotation Sensors and Related Technologies (Springer-Verlag, New York, 1982).

Fye, D. M.

D. M. Fye, “Relation of carrier-induced index change to the development of feedback noise in diode lasers,” in Technical Digest of Topical Meeting on Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1982).

Hellwarth, R.

S. Ezekiel, J. L. Davis, R. Hellwarth, “Intensity dependent nonreciprocal phase shift in fiber gyro,” in Proceedings of the International Conference on Fiberoptic Rotation Sensors and Related Technologies (Springer-Verlag, New York, 1982).

Kaplan, A. E.

Kintner, E. C.

Kompfner, R.

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, “Re-entrant fiber-optic approach to rotation sensing,” Proc. Soc. Photo-Opt. Instrum. Eng. 157, 138 (1978).

Lefevre, H. C.

Marten, P.

K. Böhm, P. Marten, K. Petermann, E. Weidel, R. Ulrich, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352 (1981).
[CrossRef]

Meytre, P.

Newton, S. A.

Papuchon, M.

H. Arditty, M. Papuchon, C. Puech, K. Thyagarapan, “Recent developments in guided wave optical rotation sensors,” in Digest of Topical Meeting on Integrated and Guided-Waue Optics (Optical Society of America, Washington, D.C., 1980).

Petermann, K.

K. Böhm, P. Marten, K. Petermann, E. Weidel, R. Ulrich, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352 (1981).
[CrossRef]

Puech, C.

H. Arditty, M. Papuchon, C. Puech, K. Thyagarapan, “Recent developments in guided wave optical rotation sensors,” in Digest of Topical Meeting on Integrated and Guided-Waue Optics (Optical Society of America, Washington, D.C., 1980).

Russer, P.

Shaw, H. J.

Thyagarapan, K.

H. Arditty, M. Papuchon, C. Puech, K. Thyagarapan, “Recent developments in guided wave optical rotation sensors,” in Digest of Topical Meeting on Integrated and Guided-Waue Optics (Optical Society of America, Washington, D.C., 1980).

Ulrich, R.

Weidel, E.

K. Böhm, P. Marten, K. Petermann, E. Weidel, R. Ulrich, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352 (1981).
[CrossRef]

K. Böhm, P. Russer, E. Weidel, R. Ulrich, “Low-noise fiber-optic rotation sensing,” Opt. Lett. 6, 64 (1981).
[CrossRef] [PubMed]

Electron. Lett. (1)

K. Böhm, P. Marten, K. Petermann, E. Weidel, R. Ulrich, “Low-drift fibre gyro using a superluminescent diode,” Electron. Lett. 17, 352 (1981).
[CrossRef]

Opt. Lett. (8)

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

H. Arditty, H. J. Shaw, M. Chodorow, R. Kompfner, “Re-entrant fiber-optic approach to rotation sensing,” Proc. Soc. Photo-Opt. Instrum. Eng. 157, 138 (1978).

Other (3)

H. Arditty, M. Papuchon, C. Puech, K. Thyagarapan, “Recent developments in guided wave optical rotation sensors,” in Digest of Topical Meeting on Integrated and Guided-Waue Optics (Optical Society of America, Washington, D.C., 1980).

D. M. Fye, “Relation of carrier-induced index change to the development of feedback noise in diode lasers,” in Technical Digest of Topical Meeting on Integrated and Guided-Wave Optics (Optical Society of America, Washington, D.C., 1982).

S. Ezekiel, J. L. Davis, R. Hellwarth, “Intensity dependent nonreciprocal phase shift in fiber gyro,” in Proceedings of the International Conference on Fiberoptic Rotation Sensors and Related Technologies (Springer-Verlag, New York, 1982).

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Figures (3)

Fig. 1
Fig. 1

All-fiber loop interferometer.

Fig. 2
Fig. 2

Counterpropagating square waves of unequal intensity.

Fig. 3
Fig. 3

Rotation-rate error with (shaded rectangles) and without (unshaded rectangles) amplitude modulation for two values of the splitting ratio of the loop directional coupler. The errors in the measurements are given by the rectangle dimensions.

Equations (14)

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β k 1 ( z , t ) = 4 π η n 2 λ δ [ I 1 ( z , t ) + 2 I 2 ( z , t ) ] ,
β k 2 ( z , t ) = 4 π η n 2 λ δ [ I 2 ( z , t ) + 2 I 1 ( z , t ) ] ,
I 1 ( z , t ) = I 1 ( 0 , t z V ) = ( 1 K ) I 0 ( t z V ) ,
I 2 ( z , t ) = I 2 ( L , t L z V ) = K I 0 ( t L z V ) ,
θ k 1 ( t ) = 0 L β k 1 ( z , t L z V ) d z ,
θ k 2 ( t ) = 0 L β k 2 ( z , t z V ) d z ,
θ k 1 ( t ) = 4 π η n 2 λ δ [ ( 1 K ) I 0 ( t τ ) L + 2 K 0 L I 0 ( t 2 τ + 2 z V ) d z ] ,
θ k 2 ( t ) = 4 π η n 2 λ δ [ K I 0 ( t τ ) L + 2 ( 1 K ) 0 L I 0 ( t 2 z V ) d z ] ,
θ k 1 ( t ) = 4 π L η n 2 λ δ [ ( 1 K ) I 0 ( t τ ) + K 1 τ t 2 τ t I 0 ( t ) d t ] ,
θ k 1 ( t ) = 4 π L η n 2 λ δ [ K I 0 ( t τ ) + ( 1 K ) 1 τ t 2 τ t I 0 ( t ) d t ] ,
Δ θ k ( t ) = θ k 1 ( t ) θ k 2 ( t ) = 4 π L η n 2 δ λ ( 1 2 K ) [ I 0 ( t τ ) 2 I 0 ( t ) ] ,
Ω k = λ c 4 π L R I 0 ( t τ ) Δ θ k ( t ) I 0 ( t ) ,
Ω k = c R η n 2 δ ( 1 2 K ) [ I 0 ( t ) 2 I 0 ( t ) 2 I 0 ( t ) ] .
| ( 1 2 K ) [ I 0 2 ( t ) I 0 ( t ) 2 2 ] | 10 4 .

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