Abstract

Measurements of the intensity transfer function of a silica microfiber resonator are shown to follow a wide variety of hysteresis cycles, depending on the cavity detuning and the scanning frequency of the range of input powers. We attribute these observations to a nonlinear phase shift of thermal origin and provide a simple model that reproduces well our measurements. The response time is found to be around 0.6 ms.

© 2008 Optical Society of America

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    [CrossRef]

2008

G. Vienne, Ph. Grelu, X. Pan, Y. Li, and L. Tong, J. Opt. A 10, 025303 (2008).
[CrossRef]

M. A. Foster, A. C. Turner, M. Lipson, and A. L. Gaeta, Opt. Express 16, 1300 (2008).
[CrossRef] [PubMed]

2007

2006

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

G. Brambilla, F. Xu, and X. Feng, Electron. Lett. 42, 517 (2006).
[CrossRef]

M. Sumetsky, Y. Dulashko, J. M. Fini, A. Hale, and D. J. DiGiovanni, J. Lightwave Technol. 24, 242 (2006).
[CrossRef]

2005

G. Brambilla, F. Koizumi, V. Finazzi, and D. J. Richardson, Electron. Lett. 41, 400 (2005).
[CrossRef]

2004

2003

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

1989

C. Caspar and E.-J. Bachus, Electron. Lett. 25, 1506 (1989).
[CrossRef]

1970

R. Brückner, J. Non-Cryst. Solids 5, 123 (1970).
[CrossRef]

1965

1887

C. V. Boys, Philos. Mag. 23, 489 (1887).

Almeida, V. R.

Ashcom, J. B.

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Bachus, E.-J.

C. Caspar and E.-J. Bachus, Electron. Lett. 25, 1506 (1989).
[CrossRef]

Boys, C. V.

C. V. Boys, Philos. Mag. 23, 489 (1887).

Brambilla, G.

F. Xu and G. Brambilla, Opt. Lett. 32, 2164 (2007).
[CrossRef] [PubMed]

G. Brambilla, F. Xu, and X. Feng, Electron. Lett. 42, 517 (2006).
[CrossRef]

G. Brambilla, F. Koizumi, V. Finazzi, and D. J. Richardson, Electron. Lett. 41, 400 (2005).
[CrossRef]

Brückner, R.

R. Brückner, J. Non-Cryst. Solids 5, 123 (1970).
[CrossRef]

Caspar, C.

C. Caspar and E.-J. Bachus, Electron. Lett. 25, 1506 (1989).
[CrossRef]

DiGiovanni, D. J.

Dulashko, Y.

M. Sumetsky, Y. Dulashko, J. M. Fini, A. Hale, and D. J. DiGiovanni, J. Lightwave Technol. 24, 242 (2006).
[CrossRef]

M. Sumetsky, Y. Dulashko, and M. Fishteyn, in Proceedings of Optical Fiber Communcations Conference (Optical Society of America, 2007), paper PDP46.

Eggleton, B. J.

Feng, X.

G. Brambilla, F. Xu, and X. Feng, Electron. Lett. 42, 517 (2006).
[CrossRef]

Finazzi, V.

G. Brambilla, F. Koizumi, V. Finazzi, and D. J. Richardson, Electron. Lett. 41, 400 (2005).
[CrossRef]

Fini, J. M.

Fishteyn, M.

M. Sumetsky, Y. Dulashko, and M. Fishteyn, in Proceedings of Optical Fiber Communcations Conference (Optical Society of America, 2007), paper PDP46.

Foster, M. A.

Fu, L. B.

Gaeta, A. L.

Gattass, R. R.

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Grelu, Ph.

G. Vienne, Ph. Grelu, X. Pan, Y. Li, and L. Tong, J. Opt. A 10, 025303 (2008).
[CrossRef]

Guo, X.

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

Hale, A.

He, S.

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Jiang, X.

G. Vienne, Y. Li, X. Jiang, and L. Tong, IEEE Photonics Technol. Lett. 19, 1386 (2007).
[CrossRef]

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

Koizumi, F.

G. Brambilla, F. Koizumi, V. Finazzi, and D. J. Richardson, Electron. Lett. 41, 400 (2005).
[CrossRef]

Lamont, M. R.

Li, Y.

G. Vienne, Ph. Grelu, X. Pan, Y. Li, and L. Tong, J. Opt. A 10, 025303 (2008).
[CrossRef]

G. Vienne, Y. Li, X. Jiang, and L. Tong, IEEE Photonics Technol. Lett. 19, 1386 (2007).
[CrossRef]

Lipson, M.

Lou, J.

L. Tong, J. Lou, and E. Mazur, Opt. Express 12, 1025 (2004).
[CrossRef] [PubMed]

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Mägi, E. C.

Malitson, I. H.

Maxwell, I.

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Mazur, E.

L. Tong, J. Lou, and E. Mazur, Opt. Express 12, 1025 (2004).
[CrossRef] [PubMed]

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Nguyen, H. C.

Pan, X.

G. Vienne, Ph. Grelu, X. Pan, Y. Li, and L. Tong, J. Opt. A 10, 025303 (2008).
[CrossRef]

Richardson, D. J.

G. Brambilla, F. Koizumi, V. Finazzi, and D. J. Richardson, Electron. Lett. 41, 400 (2005).
[CrossRef]

Schwelb, O.

Shen, M.

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Sumetsky, M.

M. Sumetsky, Y. Dulashko, J. M. Fini, A. Hale, and D. J. DiGiovanni, J. Lightwave Technol. 24, 242 (2006).
[CrossRef]

M. Sumetsky, Y. Dulashko, and M. Fishteyn, in Proceedings of Optical Fiber Communcations Conference (Optical Society of America, 2007), paper PDP46.

Tong, L.

G. Vienne, Ph. Grelu, X. Pan, Y. Li, and L. Tong, J. Opt. A 10, 025303 (2008).
[CrossRef]

G. Vienne, Y. Li, X. Jiang, and L. Tong, IEEE Photonics Technol. Lett. 19, 1386 (2007).
[CrossRef]

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

L. Tong, J. Lou, and E. Mazur, Opt. Express 12, 1025 (2004).
[CrossRef] [PubMed]

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Tsao, A.

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

Turner, A. C.

Vienne, G.

G. Vienne, Ph. Grelu, X. Pan, Y. Li, and L. Tong, J. Opt. A 10, 025303 (2008).
[CrossRef]

G. Vienne, Y. Li, X. Jiang, and L. Tong, IEEE Photonics Technol. Lett. 19, 1386 (2007).
[CrossRef]

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

Xu, F.

F. Xu and G. Brambilla, Opt. Lett. 32, 2164 (2007).
[CrossRef] [PubMed]

G. Brambilla, F. Xu, and X. Feng, Electron. Lett. 42, 517 (2006).
[CrossRef]

Yang, D.

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

Yang, Q.

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

Yeom, D. I.

Appl. Phys. Lett.

X. Jiang, L. Tong, G. Vienne, X. Guo, Q. Yang, A. Tsao, and D. Yang, Appl. Phys. Lett. 88, 223501 (2006).
[CrossRef]

Electron. Lett.

G. Brambilla, F. Koizumi, V. Finazzi, and D. J. Richardson, Electron. Lett. 41, 400 (2005).
[CrossRef]

C. Caspar and E.-J. Bachus, Electron. Lett. 25, 1506 (1989).
[CrossRef]

G. Brambilla, F. Xu, and X. Feng, Electron. Lett. 42, 517 (2006).
[CrossRef]

IEEE Photonics Technol. Lett.

G. Vienne, Y. Li, X. Jiang, and L. Tong, IEEE Photonics Technol. Lett. 19, 1386 (2007).
[CrossRef]

J. Lightwave Technol.

J. Non-Cryst. Solids

R. Brückner, J. Non-Cryst. Solids 5, 123 (1970).
[CrossRef]

J. Opt. A

G. Vienne, Ph. Grelu, X. Pan, Y. Li, and L. Tong, J. Opt. A 10, 025303 (2008).
[CrossRef]

J. Opt. Soc. Am.

Nature

L. Tong, R. R. Gattass, J. B. Ashcom, S. He, J. Lou, M. Shen, I. Maxwell, and E. Mazur, Nature 426, 816 (2003).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Philos. Mag.

C. V. Boys, Philos. Mag. 23, 489 (1887).

Other

M. Sumetsky, Y. Dulashko, and M. Fishteyn, in Proceedings of Optical Fiber Communcations Conference (Optical Society of America, 2007), paper PDP46.

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Figures (2)

Fig. 1
Fig. 1

Measured resonance spectra (squares) together with fits (curves) for P in = 0.53 and 16.3 mW . The wavelength-scanning speed was 1.7 pm s . Common parameters for the calculated curves are D knot = 1.55 mm ( L a = 4.87 mm ) , λ 0 = 1.55 μ m , n a = 1.444 , K = 0.13 , a = σ = 0.51 , T a = 293 K , c 1 = 2.67 10 6 K   W 1 s 1 ; c 2 = 0.242 rad K 1 , and τ = 0.6 ms .

Fig. 2
Fig. 2

Calculated (dotted curves) and measured (solid curves) hysteresis cycles for various modulation frequencies and laser wavelengths. The parameters used for the simulations are the same as for Fig. 1, with P i n 0 = 25.3 mW and p = 0.1 .

Equations (5)

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

d T ( t ) d t = T ( t ) T a τ + c 1 P ( t ) ,
φ ( t ) = φ 0 + 2 π n a L a ( 1 λ ( t ) 1 λ 0 ) + c 2 ( T ( t ) T a ) ,
P ( t ) = P i n ( t ) a 2 ( 1 K ) 1 + σ 2 K 2 σ K cos φ ( t ) ,
P o u t ( t ) = a 2 P i n ( t ) K + σ 2 2 σ K cos φ ( t ) 1 + σ 2 K 2 σ K cos φ ( t ) .
c 2 = φ T = 2 π n a L a λ 0 ( 1 L d L d T + 1 n d n d T ) ,

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