Abstract

It is shown that coupled Gires–Tournois interferometers or mathematically equivalent ring resonators exhibit distributed exponential enhancement of the phase shifts of the cavities and of the intensity of the incident wave. For identical coupled elements, this leads to a resonant increase in intensity and linear phase sensitivity in any cavity of the chain by a factor of single resonator finesse to the power of the order of this cavity, n, and also leads to an increase in sensitivity to nonlinear optical phase by finesse to the power of 2n.

© 2006 Optical Society of America

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References

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2005 (2)

2004 (4)

2003 (3)

2002 (1)

A. Yariv, IEEE Photon. Technol. Lett. 14, 483 (2002).
[CrossRef]

2000 (2)

1999 (2)

1997 (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

1988 (2)

B. J. Meers, Phys. Rev. D 38, 2317 (1988).
[CrossRef]

P. Yeh, Optical Waves in Layered Media (Wiley, 1988), Chaps. 4 and 7.

Absil, P. P.

Blair, S.

Boyd, R.

Boyd, R. B.

Chak, P.

Chen, R. T.

J. Yang, Q. Zhou, F. Zhao, X. Jiang, B. Howley, M. Wang, and R. T. Chen, Opt. Commun. 228, 91 (2003).
[CrossRef]

Chen, Y.

Cho, P. S.

Chu, S. T.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Costa, R.

Foresi, J.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Golub, I.

Griffel, G.

G. Griffel, IEEE Photon. Technol. Lett. 12, 810 (2000).
[CrossRef]

Grover, R.

Haus, H. A.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Heebner, J. E.

Ho, P.-T.

Howley, B.

J. Yang, Q. Zhou, F. Zhao, X. Jiang, B. Howley, M. Wang, and R. T. Chen, Opt. Commun. 228, 91 (2003).
[CrossRef]

Hryniewicz, J. V.

Jiang, X.

J. Yang, Q. Zhou, F. Zhao, X. Jiang, B. Howley, M. Wang, and R. T. Chen, Opt. Commun. 228, 91 (2003).
[CrossRef]

Joneckis, L. G.

Khurgin, J. K.

Laine, J.-P.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Lee, R. K.

Lepeshkin, N. N.

Little, B. E.

P. P. Absil, J. V. Hryniewicz, B. E. Little, P. S. Cho, R. A. Wilson, L. G. Joneckis, and P.-T. Ho, Opt. Lett. 25, 554 (2000).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Martinelli, M.

Meers, B. J.

B. J. Meers, Phys. Rev. D 38, 2317 (1988).
[CrossRef]

Melloni, A.

Monguzzi, P.

Pereira, S.

Poon, J. K. S.

J. K. S. Poon, J. Scheuer, and A. Yariv, IEEE Photon. Technol. Lett. 16, 1331 (2004).
[CrossRef]

Scheuer, J.

J. K. S. Poon, J. Scheuer, and A. Yariv, IEEE Photon. Technol. Lett. 16, 1331 (2004).
[CrossRef]

Schweinsberg, A.

Sherer, A.

Simova, E.

Sipe, J.

Wang, M.

J. Yang, Q. Zhou, F. Zhao, X. Jiang, B. Howley, M. Wang, and R. T. Chen, Opt. Commun. 228, 91 (2003).
[CrossRef]

Wicks, G. W.

Wilson, R. A.

Xu, Y.

Yang, J.

J. Yang, Q. Zhou, F. Zhao, X. Jiang, B. Howley, M. Wang, and R. T. Chen, Opt. Commun. 228, 91 (2003).
[CrossRef]

Yariv, A.

J. K. S. Poon, J. Scheuer, and A. Yariv, IEEE Photon. Technol. Lett. 16, 1331 (2004).
[CrossRef]

A. Yariv, IEEE Photon. Technol. Lett. 14, 483 (2002).
[CrossRef]

A. Yariv, Y. Xu, R. K. Lee, and A. Sherer, Opt. Lett. 24, 711 (1999).
[CrossRef]

Yeh, P.

P. Yeh, Optical Waves in Layered Media (Wiley, 1988), Chaps. 4 and 7.

Zhao, F.

J. Yang, Q. Zhou, F. Zhao, X. Jiang, B. Howley, M. Wang, and R. T. Chen, Opt. Commun. 228, 91 (2003).
[CrossRef]

Zhou, Q.

J. Yang, Q. Zhou, F. Zhao, X. Jiang, B. Howley, M. Wang, and R. T. Chen, Opt. Commun. 228, 91 (2003).
[CrossRef]

IEEE Photon. Technol. Lett. (3)

J. K. S. Poon, J. Scheuer, and A. Yariv, IEEE Photon. Technol. Lett. 16, 1331 (2004).
[CrossRef]

A. Yariv, IEEE Photon. Technol. Lett. 14, 483 (2002).
[CrossRef]

G. Griffel, IEEE Photon. Technol. Lett. 12, 810 (2000).
[CrossRef]

J. Lightwave Technol. (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

J. Yang, Q. Zhou, F. Zhao, X. Jiang, B. Howley, M. Wang, and R. T. Chen, Opt. Commun. 228, 91 (2003).
[CrossRef]

Opt. Express (1)

Opt. Lett. (7)

Phys. Rev. D (1)

B. J. Meers, Phys. Rev. D 38, 2317 (1988).
[CrossRef]

Other (1)

P. Yeh, Optical Waves in Layered Media (Wiley, 1988), Chaps. 4 and 7.

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Figures (4)

Fig. 1
Fig. 1

a, Codiredtionally coupled RRs; b, directly coupled RRs; c, equivalent scheme for coupled FP interferometers.

Fig. 2
Fig. 2

Configuration of a, coupled GTIs and b, an equivalent scheme for coupled RRs.

Fig. 3
Fig. 3

Double-cavity GTI. The brackets represent compound resonators with corresponding reflection coefficients: r 234 , the last FP cavity; r, the whole system.

Fig. 4
Fig. 4

a, Phase shift of the light reflected from a single (solid curve) and double (dashed curve) GTIs as a function of a single-pass phase shift of the innermost cavity. The solid curve also represents the phase shift of the light reflected from a double GTI as a function of the phase shift in its first cavity.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

r comp = e i Φ = R + e 2 i φ 1 R e 2 i φ ,
Φ = 2 tan 1 ( 1 + R 1 R tan φ ) .
r = r 12 + r 234 e 2 i φ 2 1 + r 12 r 234 e 2 i φ 2 ,
r 234 = r 23 + r 34 e 2 i φ 3 1 + r 23 r 34 e 2 i φ 3 ,
r = r 12 + e i ( 2 φ 2 + Φ ) 1 + r 12 e i ( 2 φ 2 + Φ ) .

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