Abstract

Analysis indicates that strict attention must be paid to polarization control in fiber gyroscopes in order to ensure drift stability. It is shown that the maximum drift rate that is due to faulty polarization control is proportional to the amplitude-extinction ratio for the rejected polarization channel. Consequently, in the worst circumstances, which on present evidence cannot be excluded, the intensity extinction for the rejected polarization channel in a typical fiber gyroscope must approach 10−6. Options for achieving this control are indicated by the analysis.

© 1981 Optical Society of America

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References

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  1. R. Ulrich, “Fiber-optic rotation sensing with low drift,” Opt. Lett. 5, 173–175 (1980).
    [CrossRef] [PubMed]
  2. R. Ulrich, M. Johnson, “Fiber-ring interferometer: polarization analysis,” Opt. Lett. 4, 152–154 (1979).
    [CrossRef] [PubMed]
  3. S. C. Rashleigh, R. Ulrich, “Polarization mode dispersion in single-mode fibers,” Opt. Lett. 3, 60–62 (1978).
    [CrossRef] [PubMed]
  4. A. Simon, R. Ulrich, “Evolution of polarization along a single-mode fiber,” Appl. Phys. Lett. 31, 517–520 (1977).
    [CrossRef]
  5. Many proposed fiber interferometer gyros implement a heterodyne detection scheme by shifting the optical frequency of the beam in path 2 in relation to that in path 1. Then the phase ϕ defined in Eq. (1) can be replaced in Eq. (10) by the expressionϕ=KΩ+2πft,and the rotation rate can be extracted from the phase of the detector signal at the beat frequency f. Although the physical significance of the analysis remains unchanged, this viewpoint may clarify the interpretation of the results in practical applications.
  6. V. Ramaswamy et al., “Birefringence in elliptically clad borosilicate single-mode fibers,” Appl. Opt. 18, 4080–4084 (1979).
    [CrossRef] [PubMed]
  7. R. H. Stolen, “Linear polarization in birefrigent single-mode fibers,” Appl. Phys. Lett. 33, 699–701 (1978).
    [CrossRef]

1980 (1)

1979 (2)

1978 (2)

R. H. Stolen, “Linear polarization in birefrigent single-mode fibers,” Appl. Phys. Lett. 33, 699–701 (1978).
[CrossRef]

S. C. Rashleigh, R. Ulrich, “Polarization mode dispersion in single-mode fibers,” Opt. Lett. 3, 60–62 (1978).
[CrossRef] [PubMed]

1977 (1)

A. Simon, R. Ulrich, “Evolution of polarization along a single-mode fiber,” Appl. Phys. Lett. 31, 517–520 (1977).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (2)

R. H. Stolen, “Linear polarization in birefrigent single-mode fibers,” Appl. Phys. Lett. 33, 699–701 (1978).
[CrossRef]

A. Simon, R. Ulrich, “Evolution of polarization along a single-mode fiber,” Appl. Phys. Lett. 31, 517–520 (1977).
[CrossRef]

Opt. Lett. (3)

Other (1)

Many proposed fiber interferometer gyros implement a heterodyne detection scheme by shifting the optical frequency of the beam in path 2 in relation to that in path 1. Then the phase ϕ defined in Eq. (1) can be replaced in Eq. (10) by the expressionϕ=KΩ+2πft,and the rotation rate can be extracted from the phase of the detector signal at the beat frequency f. Although the physical significance of the analysis remains unchanged, this viewpoint may clarify the interpretation of the results in practical applications.

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Figures (1)

Fig. 1
Fig. 1

Schematic diagram of fiber interferometer gyro. (a) Physical arrangement, (b) arrangement for analysis.

Equations (25)

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ϕ = K Ω = 4 π R L c λ Ω ,
a = ( a A a B ) = ( | a A | e i α A | a B | e i α B ) .
d = ( d A d B ) .
d 1 = 1 2 T C 1 T F 1 T D 1 a = 1 2 T 1 a ( clockwise ) ,
d 2 = 1 2 T C 2 T F 2 T D 2 a = 1 2 T 2 a ( counterclockwise ) ,
T = ( | t A A | e i τ A A | t A B | e i τ A B | t B A | e i τ B A | t B B | e i τ B B ) .
T F 2 = T F 1 t ,
T C 2 = T D 1 t ,
T C 1 = T D 2 t .
T 2 = T 1 t ,
T p = ( 1 0 0 ) .
d 1 = 1 2 T p T T p a ,
d 2 = 1 2 T p T t T p a .
d = d 1 + d 2 e i ϕ = 1 2 T p ( T + T t e i ϕ ) T p a = 1 2 ( 1 0 0 ) × [ t A A ( 1 + e i ϕ ) ( t A B + T B A e i ϕ ) t B A + t A B e i ϕ t B B ( 1 + e i ϕ ) ] ( 1 0 0 ) a = 1 2 [ t A A ( 1 + e i ϕ ) a A + ( t A B + t B A e i ϕ ) a B ( t B A + t A B e i ϕ ) a A + 2 t B B ( 1 + e i ϕ ) a B ] .
i I = | d A | 2 + | d B | 2 = 1 2 { | t A A | 2 | 1 + e i ϕ | 2 | a A | 2 + 2 Re [ t A A * ( t A B + t B A e i ϕ ) ( 1 + e i ϕ ) * a A * a B ] + 2 | t A B + t B A e i ϕ | 2 | a B | 2 + 2 | t B A + t A B e i ϕ | 2 × | a A | 2 + 2 3 Re [ t B B * ( t B A + t A B e i ϕ ) × ( 1 + e i ϕ ) * a A a B * ] + 4 | t B B | 2 | 1 + e i ϕ | 2 | a B | 2 } ,
I | a A | 2 | t A A | 2 ( 1 + cos ϕ ) + | a A | | a B | | t A A | { | t A B | [ 1 + cos ( δ A B ϕ ) ] + | t B A | [ 1 + cos ( δ B A + ϕ ) ] } .
( δ A B = δ B A ) = ± π 2
a cos ϕ + b sin ϕ = a cos ϕ = a cos ( ϕ + ϕ ) = a ( cos ϕ cos ϕ sin ϕ sin ϕ ) .
a = a cos ϕ , b = a sin ϕ ,
| a b | = | tan ϕ | | ϕ | .
| ϕ | | a B | ( | t A B | + | t B A | ) | a A | | t A A | .
ϕ = K Ω = 1 . 2 × 10 3 rad .
d = 1 2 ( T p T e ) ( T + T t e i ϕ ) T p a .
d = 1 2 [ ( T p T ) + ( T p T ) t e i ϕ ] a .
ϕ=KΩ+2πft,

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