Abstract

Theoretical and experimental investigations of a closed-loop fiber-optic gyroscope are reported. Phase nulling is accomplished by applying a sawtooth modulation to an integrated-optic phase modulator located at one side of the sensing loop. The frequency of the phase modulation is proportional to the rotation rate, thus permitting a digital readout. The influence of a finite flyback period on the scale factor is investigated.

© 1985 Optical Society of America

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References

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  1. M. G. Prentiss, J. L. Davis, S. Ezekiel, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 297–301.
  2. N. Ohgi, M. Kondoh, M. Shimizu, in Proceedings of the 2nd International Conference on Optical Fiber Sensors (VDE-Verlag, Berlin, 1984), pp. 297–300.
  3. B. Y. Kim, H. C. Lefevre, R. A. Bergh, H. J. Shaw, in Proceedings of the First International Conference on Optical Fibre Sensors (Institution of Electrical Engineers, London, 1983), pp. 136–137.
  4. B. Y. Kim, H. J. Shaw, Opt. Lett. 9, 263 (1984).
    [CrossRef] [PubMed]
  5. B. Y. Kim, H. J. Shaw, Opt. Lett. 9, 375 (1984).
    [CrossRef] [PubMed]
  6. E. Voges, O. Ostwald, B. Schiek, A. Neyer, IEEE J. Quantum Electron. QE-18, 124 (1982).
    [CrossRef]
  7. G. Schiffner, B. Nottbeck, G. Schöner, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 266–274.

1984 (2)

1982 (1)

E. Voges, O. Ostwald, B. Schiek, A. Neyer, IEEE J. Quantum Electron. QE-18, 124 (1982).
[CrossRef]

Bergh, R. A.

B. Y. Kim, H. C. Lefevre, R. A. Bergh, H. J. Shaw, in Proceedings of the First International Conference on Optical Fibre Sensors (Institution of Electrical Engineers, London, 1983), pp. 136–137.

Davis, J. L.

M. G. Prentiss, J. L. Davis, S. Ezekiel, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 297–301.

Ezekiel, S.

M. G. Prentiss, J. L. Davis, S. Ezekiel, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 297–301.

Kim, B. Y.

B. Y. Kim, H. J. Shaw, Opt. Lett. 9, 263 (1984).
[CrossRef] [PubMed]

B. Y. Kim, H. J. Shaw, Opt. Lett. 9, 375 (1984).
[CrossRef] [PubMed]

B. Y. Kim, H. C. Lefevre, R. A. Bergh, H. J. Shaw, in Proceedings of the First International Conference on Optical Fibre Sensors (Institution of Electrical Engineers, London, 1983), pp. 136–137.

Kondoh, M.

N. Ohgi, M. Kondoh, M. Shimizu, in Proceedings of the 2nd International Conference on Optical Fiber Sensors (VDE-Verlag, Berlin, 1984), pp. 297–300.

Lefevre, H. C.

B. Y. Kim, H. C. Lefevre, R. A. Bergh, H. J. Shaw, in Proceedings of the First International Conference on Optical Fibre Sensors (Institution of Electrical Engineers, London, 1983), pp. 136–137.

Neyer, A.

E. Voges, O. Ostwald, B. Schiek, A. Neyer, IEEE J. Quantum Electron. QE-18, 124 (1982).
[CrossRef]

Nottbeck, B.

G. Schiffner, B. Nottbeck, G. Schöner, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 266–274.

Ohgi, N.

N. Ohgi, M. Kondoh, M. Shimizu, in Proceedings of the 2nd International Conference on Optical Fiber Sensors (VDE-Verlag, Berlin, 1984), pp. 297–300.

Ostwald, O.

E. Voges, O. Ostwald, B. Schiek, A. Neyer, IEEE J. Quantum Electron. QE-18, 124 (1982).
[CrossRef]

Prentiss, M. G.

M. G. Prentiss, J. L. Davis, S. Ezekiel, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 297–301.

Schiek, B.

E. Voges, O. Ostwald, B. Schiek, A. Neyer, IEEE J. Quantum Electron. QE-18, 124 (1982).
[CrossRef]

Schiffner, G.

G. Schiffner, B. Nottbeck, G. Schöner, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 266–274.

Schöner, G.

G. Schiffner, B. Nottbeck, G. Schöner, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 266–274.

Shaw, H. J.

B. Y. Kim, H. J. Shaw, Opt. Lett. 9, 263 (1984).
[CrossRef] [PubMed]

B. Y. Kim, H. J. Shaw, Opt. Lett. 9, 375 (1984).
[CrossRef] [PubMed]

B. Y. Kim, H. C. Lefevre, R. A. Bergh, H. J. Shaw, in Proceedings of the First International Conference on Optical Fibre Sensors (Institution of Electrical Engineers, London, 1983), pp. 136–137.

Shimizu, M.

N. Ohgi, M. Kondoh, M. Shimizu, in Proceedings of the 2nd International Conference on Optical Fiber Sensors (VDE-Verlag, Berlin, 1984), pp. 297–300.

Voges, E.

E. Voges, O. Ostwald, B. Schiek, A. Neyer, IEEE J. Quantum Electron. QE-18, 124 (1982).
[CrossRef]

IEEE J. Quantum Electron. (1)

E. Voges, O. Ostwald, B. Schiek, A. Neyer, IEEE J. Quantum Electron. QE-18, 124 (1982).
[CrossRef]

Opt. Lett. (2)

Other (4)

M. G. Prentiss, J. L. Davis, S. Ezekiel, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 297–301.

N. Ohgi, M. Kondoh, M. Shimizu, in Proceedings of the 2nd International Conference on Optical Fiber Sensors (VDE-Verlag, Berlin, 1984), pp. 297–300.

B. Y. Kim, H. C. Lefevre, R. A. Bergh, H. J. Shaw, in Proceedings of the First International Conference on Optical Fibre Sensors (Institution of Electrical Engineers, London, 1983), pp. 136–137.

G. Schiffner, B. Nottbeck, G. Schöner, in Fiber-Optic Rotation Sensors and Related Technologies, S. Ezekiel, H. J. Arditty, eds. (Springer-Verlag, Berlin, 1982), pp. 266–274.

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Figures (6)

Fig. 1
Fig. 1

Sawtooth modulation function ϕ(t) with a finite flyback period Δt = T(1 − X)/2.

Fig. 2
Fig. 2

Open-loop output of the phase-sensitive detector as a function of the sawtooth frequency f for different values of X. The solid lines denote calculated values, the dots measured values. The peak phase deviation ϕ0 was chosen to be π.

Fig. 3
Fig. 3

Experimental setup. PM, phase modulator; IOM, integrated-optic phase modulator; PSD, phase-sensitive detector.

Fig. 4
Fig. 4

Relationship between Sagnac phase shift and the frequency f of the sawtooth phase modulation for closed-loop operation of the gyroscope. Values of X = 1 and X = 0.7 were assumed; ϕ0 = π.

Fig. 5
Fig. 5

Root-mean-square frequency deviation from constant scale factor frms versus peak phase deviation ϕ0 for different values of X.

Fig. 6
Fig. 6

Frequency f of sawtooth modulation versus Sagnac phase shift ϕS. Experimental results (dots) were obtained with the setup of Fig. 3. A sawtooth phase modulation with a value of X = 0.98 and a peak phase deviation of ϕ0 = π was used to null the rotation-induced Sagnac phase shift.

Equations (4)

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F n = X sin ( ϕ 0 nX π ) ϕ 0 nX π + ( 1 X ) sin ( ϕ 0 nX π ) ϕ 0 n π ( X 1 ) ,
F n = sin ( ϕ 0 n π ) ϕ 0 n π .
I = K sin ( 2 ϕ S ω τ ) ,
I = K n = F n 2 sin ( 2 ϕ S n ω τ ) .

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