Abstract

We demonstrate theoretically and experimentally that the sensitivity of a fiber Mach–Zehnder (M-Z) inter ferometer can be enhanced by coupling fiber ring resonators with it. The experimental results agree well with theoretical predications that combining slow light with fast light will further increase the sensitivity of a fiber M-Z interferometer.

© 2011 Optical Society of America

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2010 (2)

2009 (2)

2008 (1)

2007 (4)

Z. Shi, R. W. Boyd, D. J. Gauthier, and C. C. Dudley, Opt. Lett. 32, 915 (2007).
[CrossRef] [PubMed]

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef] [PubMed]

Z. Shi, R. W. Boyd, R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Phys. Rev. Lett. 99, 240801 (2007).
[CrossRef]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, Phys. Rev. A 75, 053807 (2007).
[CrossRef]

2006 (1)

2005 (1)

M. Herráez, K. Y. Song, and L. Thévenaz, Appl. Phys. Lett. 87, 081113 (2005).
[CrossRef]

2004 (2)

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, Phys. Rev. A 69, 063804 (2004).
[CrossRef]

J. E. Heebner, V. Wong, A. Schweinsberg, R. W. Boyd, and D. J. Jackson, IEEE J. Quantum Electron. 40, 726 (2004).
[CrossRef]

2003 (1)

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

2002 (2)

1999 (1)

L. V. Hau, S. E. Harris, Z. Dutton, Nature 397, 594 (1999).
[CrossRef]

Bigelow, M. S.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

Boyd, R. W.

Z. Shi, R. W. Boyd, R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Phys. Rev. Lett. 99, 240801 (2007).
[CrossRef]

Z. Shi, R. W. Boyd, D. J. Gauthier, and C. C. Dudley, Opt. Lett. 32, 915 (2007).
[CrossRef] [PubMed]

J. E. Heebner, V. Wong, A. Schweinsberg, R. W. Boyd, and D. J. Jackson, IEEE J. Quantum Electron. 40, 726 (2004).
[CrossRef]

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, Phys. Rev. A 69, 063804 (2004).
[CrossRef]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

Cai, Y.

Camacho, R. M.

Z. Shi, R. W. Boyd, R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Phys. Rev. Lett. 99, 240801 (2007).
[CrossRef]

Chang, H.

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, Phys. Rev. A 69, 063804 (2004).
[CrossRef]

Chang-Hasnain, C.

P. Ku, C. Chang-Hasnain, and S. Chuang, Electron. Lett. 38, 1581 (2002).
[CrossRef]

Chuang, S.

P. Ku, C. Chang-Hasnain, and S. Chuang, Electron. Lett. 38, 1581 (2002).
[CrossRef]

Dang, B.

Digonnet, M. J. F.

Dudley, C. C.

Dutton, Z.

L. V. Hau, S. E. Harris, Z. Dutton, Nature 397, 594 (1999).
[CrossRef]

Fan, S.

Ferrari, C.

Fuller, K. A.

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, Phys. Rev. A 69, 063804 (2004).
[CrossRef]

Gauthier, D. J.

Gopal, V.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, Nature 397, 594 (1999).
[CrossRef]

Hau, L. V.

L. V. Hau, S. E. Harris, Z. Dutton, Nature 397, 594 (1999).
[CrossRef]

Heebner, J. E.

J. E. Heebner, V. Wong, A. Schweinsberg, R. W. Boyd, and D. J. Jackson, IEEE J. Quantum Electron. 40, 726 (2004).
[CrossRef]

Herráez, M.

M. Herráez, K. Y. Song, and L. Thévenaz, Appl. Phys. Lett. 87, 081113 (2005).
[CrossRef]

Howell, J. C.

Z. Shi, R. W. Boyd, R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Phys. Rev. Lett. 99, 240801 (2007).
[CrossRef]

Ibanescu, M.

Ippen, E.

Jackson, D. J.

J. E. Heebner, V. Wong, A. Schweinsberg, R. W. Boyd, and D. J. Jackson, IEEE J. Quantum Electron. 40, 726 (2004).
[CrossRef]

Joannopoulos, J. D.

Johnson, S. G.

Kobayashi, N.

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef] [PubMed]

Ku, P.

P. Ku, C. Chang-Hasnain, and S. Chuang, Electron. Lett. 38, 1581 (2002).
[CrossRef]

Lepeshkin, N. N.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

Lipson, M.

Martinelli, M.

Messall, M.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Morichetti, M. F.

Pati, G. S.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Rosenberger, A. T.

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, Phys. Rev. A 69, 063804 (2004).
[CrossRef]

Salit, K.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Schweinsberg, A.

J. E. Heebner, V. Wong, A. Schweinsberg, R. W. Boyd, and D. J. Jackson, IEEE J. Quantum Electron. 40, 726 (2004).
[CrossRef]

Shahriar, M. S.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Shakya, J.

Shi, Z.

Z. Shi, R. W. Boyd, D. J. Gauthier, and C. C. Dudley, Opt. Lett. 32, 915 (2007).
[CrossRef] [PubMed]

Z. Shi, R. W. Boyd, R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Phys. Rev. Lett. 99, 240801 (2007).
[CrossRef]

Smith, D. D.

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, Phys. Rev. A 69, 063804 (2004).
[CrossRef]

Soljacic, M.

Song, K. Y.

M. Herráez, K. Y. Song, and L. Thévenaz, Appl. Phys. Lett. 87, 081113 (2005).
[CrossRef]

Terrel, M.

Thévenaz, L.

M. Herráez, K. Y. Song, and L. Thévenaz, Appl. Phys. Lett. 87, 081113 (2005).
[CrossRef]

Tian, H.

Tomita, M.

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef] [PubMed]

Totsuka, K.

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef] [PubMed]

Tripathi, R.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Vudyasetu, P. K.

Z. Shi, R. W. Boyd, R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Phys. Rev. Lett. 99, 240801 (2007).
[CrossRef]

Wang, J.

Wang, N.

Wong, V.

J. E. Heebner, V. Wong, A. Schweinsberg, R. W. Boyd, and D. J. Jackson, IEEE J. Quantum Electron. 40, 726 (2004).
[CrossRef]

Wu, H.

Xu, Q. F.

Yang, C.

Yuan, P.

Zhang, J.

Zhang, X.

Zhang, Y.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

M. Herráez, K. Y. Song, and L. Thévenaz, Appl. Phys. Lett. 87, 081113 (2005).
[CrossRef]

Electron. Lett. (1)

P. Ku, C. Chang-Hasnain, and S. Chuang, Electron. Lett. 38, 1581 (2002).
[CrossRef]

IEEE J. Quantum Electron. (1)

J. E. Heebner, V. Wong, A. Schweinsberg, R. W. Boyd, and D. J. Jackson, IEEE J. Quantum Electron. 40, 726 (2004).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nature (1)

L. V. Hau, S. E. Harris, Z. Dutton, Nature 397, 594 (1999).
[CrossRef]

Opt. Express (3)

Opt. Lett. (3)

Phys. Rev. A (2)

D. D. Smith, H. Chang, K. A. Fuller, A. T. Rosenberger, and R. W. Boyd, Phys. Rev. A 69, 063804 (2004).
[CrossRef]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall, and K. Salit, Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Phys. Rev. Lett. (3)

Z. Shi, R. W. Boyd, R. M. Camacho, P. K. Vudyasetu, and J. C. Howell, Phys. Rev. Lett. 99, 240801 (2007).
[CrossRef]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

K. Totsuka, N. Kobayashi, and M. Tomita, Phys. Rev. Lett. 98, 213904 (2007).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

(a). M-Z interferometer coupled with a SFRR, (b) M-Z interferometer coupled with a NFRR, and (c) a traditional fiber M-Z interferometer.

Fig. 2
Fig. 2

Effective phase shift versus the round-trip phase shift. (a) SFRR and (b) NFRR. (The solid curve is for the inner ring and the dotted curve is for the outer ring).

Fig. 3
Fig. 3

Experimental setup used to measure the phase difference of the interferometers.

Fig. 4
Fig. 4

Experimental measured dispersion sensitivity S of the M-Z interferometer. (a)  S of the NFRR coupled M-Z interferometer, and (b)  S of the SFRR coupled M-Z interferometer.

Equations (4)

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S = d Δ Φ d γ = d Δ Φ d ϕ · d ϕ d γ = S · S 0 ,
S = d Δ Φ d ϕ = d φ eff d ϕ ,
S = d ( φ 1 eff φ 2 eff ) d ϕ = d φ 1 eff d ϕ d φ 2 eff d ϕ ,
Δ Φ = arccos ( I 2 - 1 2 κ 1 r 1 I 1 - 1 2 κ 3 r 3 / 2 1 2 κ 1 r 1 I 1 · 1 2 κ 3 r 3 I 3 ) ,

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