Abstract

We present a Sagnac interferometer that uses a nonlinear adaptive medium for detection. The nonlinearity of the medium being characterized by a finite response time, the detection has a finite frequency bandwidth determining two operational regimes: at low variation rate of the rotation speed the interferometer operates in the slow-light regime, providing a direct measurement of the angular acceleration. For high variation rate of the rotation speed the amplitude of the alternating component of the Sagnac phase shift is instead detected, with the continuous and low-frequency components filtered out by the adaptive nonlinear process in the medium.

© 2011 Optical Society of America

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    [CrossRef] [PubMed]

2010 (1)

D. J. Starling, P. B. Dixon, N. S. Williams, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 011802 (2010).
[CrossRef]

2009 (4)

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, C.R. Physique 10, 938 (2009).
[CrossRef]

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 34, 2006 (2009).
[CrossRef] [PubMed]

2008 (1)

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef] [PubMed]

2007 (1)

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, J. Mod. Opt. 54, 2425 (2007).
[CrossRef]

2006 (2)

G. T. Purves, C. S. Adams, and I. G. Hughes, Phys. Rev. A 74, 023805 (2006).
[CrossRef]

S. Schwartz, G. Feugnet, P. Bouyer, E. Lariontsev, A. Aspect, and J. P. Pocholle, Phys. Rev. Lett. 97, 093902(2006).
[CrossRef] [PubMed]

1995 (1)

R. Neutze, Phys. Rev. A 51, 5039 (1995).
[CrossRef] [PubMed]

1990 (1)

1986 (1)

1985 (1)

B. Fischer and S. Sternklar, Appl. Phys. Lett. 47, 1 (1985).
[CrossRef]

1981 (2)

1967 (1)

See, e.g., E. J. Post, Rev. Mod. Phys. 39, 475 (1967).
[CrossRef]

Adams, C. S.

G. T. Purves, C. S. Adams, and I. G. Hughes, Phys. Rev. A 74, 023805 (2006).
[CrossRef]

Apostol, I.

Arditty, H. J.

Aspect, A.

S. Schwartz, G. Feugnet, P. Bouyer, E. Lariontsev, A. Aspect, and J. P. Pocholle, Phys. Rev. Lett. 97, 093902(2006).
[CrossRef] [PubMed]

Bortolozzo, U.

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 34, 2006 (2009).
[CrossRef] [PubMed]

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, C.R. Physique 10, 938 (2009).
[CrossRef]

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef] [PubMed]

Bouyer, P.

S. Schwartz, G. Feugnet, P. Bouyer, E. Lariontsev, A. Aspect, and J. P. Pocholle, Phys. Rev. Lett. 97, 093902(2006).
[CrossRef] [PubMed]

Boyd, R. W.

R. W. Boyd and D. J. Gauthier, in Progress in Optics(Elsevier Science, 2002), Vol.  43, pp. 497–530.
[CrossRef]

Dixon, P. B.

D. J. Starling, P. B. Dixon, N. S. Williams, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 011802 (2010).
[CrossRef]

Feugnet, G.

S. Schwartz, G. Feugnet, P. Bouyer, E. Lariontsev, A. Aspect, and J. P. Pocholle, Phys. Rev. Lett. 97, 093902(2006).
[CrossRef] [PubMed]

Fischer, B.

B. Fischer and S. Sternklar, Appl. Phys. Lett. 47, 1 (1985).
[CrossRef]

Gauthier, D. J.

R. W. Boyd and D. J. Gauthier, in Progress in Optics(Elsevier Science, 2002), Vol.  43, pp. 497–530.
[CrossRef]

Howell, J. C.

D. J. Starling, P. B. Dixon, N. S. Williams, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 011802 (2010).
[CrossRef]

Hughes, I. G.

G. T. Purves, C. S. Adams, and I. G. Hughes, Phys. Rev. A 74, 023805 (2006).
[CrossRef]

Huignard, J. P.

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 34, 2006 (2009).
[CrossRef] [PubMed]

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, C.R. Physique 10, 938 (2009).
[CrossRef]

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef] [PubMed]

Jordan, A. N.

D. J. Starling, P. B. Dixon, N. S. Williams, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 011802 (2010).
[CrossRef]

Kamshilin, A. A.

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

Kaplan, A. E.

Khizniak, A.

S. Odoulov, M. Soskin, and A. Khizniak, Optical Oscillators with Degenerate Four-Wave Mixing (Harwood Academic, 1991) Vol.  7.

Khoshnevisan, M.

Kulchin, Y. N.

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

Lariontsev, E.

S. Schwartz, G. Feugnet, P. Bouyer, E. Lariontsev, A. Aspect, and J. P. Pocholle, Phys. Rev. Lett. 97, 093902(2006).
[CrossRef] [PubMed]

Lefèvre, H.

H. Lefèvre, The Fiber-Optic Gyroscope (Artech House, 1993).

Lefèvre, H. C.

McMichael, I.

Meystre, P.

Neutze, R.

R. Neutze, Phys. Rev. A 51, 5039 (1995).
[CrossRef] [PubMed]

Odoulov, S.

S. Odoulov, M. Soskin, and A. Khizniak, Optical Oscillators with Degenerate Four-Wave Mixing (Harwood Academic, 1991) Vol.  7.

Pati, G. S.

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, J. Mod. Opt. 54, 2425 (2007).
[CrossRef]

Pocholle, J. P.

S. Schwartz, G. Feugnet, P. Bouyer, E. Lariontsev, A. Aspect, and J. P. Pocholle, Phys. Rev. Lett. 97, 093902(2006).
[CrossRef] [PubMed]

Popa, D.

Post, E. J.

See, e.g., E. J. Post, Rev. Mod. Phys. 39, 475 (1967).
[CrossRef]

Purves, G. T.

G. T. Purves, C. S. Adams, and I. G. Hughes, Phys. Rev. A 74, 023805 (2006).
[CrossRef]

Residori, S.

U. Bortolozzo, S. Residori, and J. P. Huignard, Opt. Lett. 34, 2006 (2009).
[CrossRef] [PubMed]

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

U. Bortolozzo, S. Residori, and J. P. Huignard, C.R. Physique 10, 938 (2009).
[CrossRef]

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef] [PubMed]

Romashko, R. V.

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

Salit, K.

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, J. Mod. Opt. 54, 2425 (2007).
[CrossRef]

Salit, M.

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, J. Mod. Opt. 54, 2425 (2007).
[CrossRef]

Schwartz, S.

S. Schwartz, G. Feugnet, P. Bouyer, E. Lariontsev, A. Aspect, and J. P. Pocholle, Phys. Rev. Lett. 97, 093902(2006).
[CrossRef] [PubMed]

Shahriar, M. S.

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, J. Mod. Opt. 54, 2425 (2007).
[CrossRef]

Sokolov, I. A.

Soskin, M.

S. Odoulov, M. Soskin, and A. Khizniak, Optical Oscillators with Degenerate Four-Wave Mixing (Harwood Academic, 1991) Vol.  7.

Starling, D. J.

D. J. Starling, P. B. Dixon, N. S. Williams, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 011802 (2010).
[CrossRef]

Stepanov, S. I.

Sternklar, S.

B. Fischer and S. Sternklar, Appl. Phys. Lett. 47, 1 (1985).
[CrossRef]

Vlad, V. I.

Williams, N. S.

D. J. Starling, P. B. Dixon, N. S. Williams, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 011802 (2010).
[CrossRef]

Yeh, P.

Appl. Opt. (1)

Appl. Phys. B (1)

S. Residori, U. Bortolozzo, and J. P. Huignard, Appl. Phys. B 95, 551 (2009).
[CrossRef]

Appl. Phys. Lett. (1)

B. Fischer and S. Sternklar, Appl. Phys. Lett. 47, 1 (1985).
[CrossRef]

C.R. Physique (1)

U. Bortolozzo, S. Residori, and J. P. Huignard, C.R. Physique 10, 938 (2009).
[CrossRef]

J. Appl. Phys. (1)

A. A. Kamshilin, R. V. Romashko, and Y. N. Kulchin, J. Appl. Phys. 105, 031101 (2009).
[CrossRef]

J. Mod. Opt. (1)

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, J. Mod. Opt. 54, 2425 (2007).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. A (3)

R. Neutze, Phys. Rev. A 51, 5039 (1995).
[CrossRef] [PubMed]

D. J. Starling, P. B. Dixon, N. S. Williams, A. N. Jordan, and J. C. Howell, Phys. Rev. A 82, 011802 (2010).
[CrossRef]

G. T. Purves, C. S. Adams, and I. G. Hughes, Phys. Rev. A 74, 023805 (2006).
[CrossRef]

Phys. Rev. Lett. (2)

S. Schwartz, G. Feugnet, P. Bouyer, E. Lariontsev, A. Aspect, and J. P. Pocholle, Phys. Rev. Lett. 97, 093902(2006).
[CrossRef] [PubMed]

S. Residori, U. Bortolozzo, and J. P. Huignard, Phys. Rev. Lett. 100, 203603 (2008).
[CrossRef] [PubMed]

Rev. Mod. Phys. (1)

See, e.g., E. J. Post, Rev. Mod. Phys. 39, 475 (1967).
[CrossRef]

Other (3)

S. Odoulov, M. Soskin, and A. Khizniak, Optical Oscillators with Degenerate Four-Wave Mixing (Harwood Academic, 1991) Vol.  7.

H. Lefèvre, The Fiber-Optic Gyroscope (Artech House, 1993).

R. W. Boyd and D. J. Gauthier, in Progress in Optics(Elsevier Science, 2002), Vol.  43, pp. 497–530.
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Experimental setup: the mirror AM1 directs one beam, A CW , clockwise and the other beam, A CCW , counterclockwise; AM2 sends the two beams to the LCLV; the photodiode PD measures the intensity, which is converted to angular acceleration α.

Fig. 2
Fig. 2

(a) Measured α versus time. Continuous line, signal detected by the photodiode; dashed line, same signal filtered with a bandwidth of 25 Hz ; dots, measurements in the motionless laboratory frame. (b) Output intensity I 2 versus α; dots and squares are for two different areas of the interferometer.

Fig. 3
Fig. 3

(a) Alternating component of the angular speed Ω lab measured in the laboratory frame and (b) corresponding intensity variation Δ I 2 versus time.

Equations (7)

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τ t n ( r , t ) = n ( r , t ) + n 0 + n 2 | E ( r , t ) | 2 ,
E ( r , t ) = A CW e i ( k 1 · r + φ 1 ω 0 t ) + A CCW e i ( k 2 · r + φ 2 ω 0 t ) ,
I m J m 1 ( ρ ) J m ( ρ ) sin [ Φ ( t ) φ ( t ) ] ,
Φ ( t ) = 8 π A λ 0 c [ Ω 0 + α ( t P c ) ] ,
I m J m 1 ( ρ ) J m ( ρ ) 8 π A τ λ 0 c α ,
α min λ 0 c / ( 8 π A τ ) ω 0 Δ ν / ( 2 η P opt ) ,
| I m | J m 1 ( ρ ) J m ( ρ ) 8 π A λ 0 c ω f τ 1 + ( ω f τ ) 2 ϵ

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