Abstract

We demonstrate electro-optical tunable time delay and advance in a silicon-microring-resonator-based notch filter integrated with a lateral p-i-n diode. We tune the time delay and advance by controlling the coupling regimes from over- to under-coupling through carrier-injection-based free-carrier dispersion effect. We measure maximum time delay and advance of approximately 95 and ~96 ps near critical coupling, with bandwidths of ~3.5 and ~3 GHz, upon dc power consumption in the range of 1mW. We model the transmission spectra and time delay/advance using the transfer-matrix method and analyze the time-intensity and time-bandwidth products, which show good agreement with our measurements.

© 2010 Optical Society of America

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References

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  1. R. Boyd and D. Gauthier, Prog. Opt. 43, 497 (2002).
    [CrossRef]
  2. R. Y. Chiao and P. W. Milonni, Opt. Photonics News 13(6), 26 (2002).
    [CrossRef]
  3. J. Heebner and R. Boyd, J. Mod. Opt. 49, 2629 (2002).
    [CrossRef]
  4. T. Wang, F. Liu, J. Wang, Y. Tian, Z. Zhang, T. Ye, M. Qiu, and Y. Su, J. Lightwave Technol. 27, 4734 (2009).
    [CrossRef]
  5. S. Manipatruni, P. Dong, Q. Xu, and M. Lipson, Opt. Lett. 33, 2928 (2008).
    [CrossRef] [PubMed]
  6. X. Luo and A. W. Poon, in Conference on Lasers and Electro-Optics 2010 (Optical Society of America, 2010), paper CTUHH1.
  7. A. Yariv, Electron. Lett. 36, 321 (2000).
    [CrossRef]
  8. J. Heebner, V. Wong, A. Schweinsberg, R. Boyd, and D. Jackson, IEEE J. Quantum Electron. 40, 726 (2004).
    [CrossRef]
  9. R. Soref and B. Bennett, IEEE J. Quantum Electron. 23, 123 (1987).
    [CrossRef]
  10. C. K. Madsen and J. Zhao, Optical Filter Design and Analysis: a Signal Processing Approach (Wiley, 1999).
    [CrossRef]
  11. R. S. Tucker, P. C. Ku, and C. J. Chang-Hasnain, J. Lightwave Technol. 23, 4046 (2005).
    [CrossRef]
  12. G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
    [CrossRef]
  13. L. Zhou and A. W. Poon, Opt. Express 15, 9194 (2007).
    [CrossRef] [PubMed]
  14. S. Feng, X. Luo, and A. W. Poon, “Feedback-controlled resonance and temporal response modulations in silicon microring resonators,” to be presented at IEEE 7th International Conference on Group IV Photonics, Beijing, China, September 1–3, 2010.

2009 (1)

2008 (1)

2007 (1)

2005 (1)

2004 (1)

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

2002 (3)

R. Boyd and D. Gauthier, Prog. Opt. 43, 497 (2002).
[CrossRef]

R. Y. Chiao and P. W. Milonni, Opt. Photonics News 13(6), 26 (2002).
[CrossRef]

J. Heebner and R. Boyd, J. Mod. Opt. 49, 2629 (2002).
[CrossRef]

2001 (1)

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

2000 (1)

A. Yariv, Electron. Lett. 36, 321 (2000).
[CrossRef]

1987 (1)

R. Soref and B. Bennett, IEEE J. Quantum Electron. 23, 123 (1987).
[CrossRef]

Bennett, B.

R. Soref and B. Bennett, IEEE J. Quantum Electron. 23, 123 (1987).
[CrossRef]

Boyd, R.

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

J. Heebner and R. Boyd, J. Mod. Opt. 49, 2629 (2002).
[CrossRef]

R. Boyd and D. Gauthier, Prog. Opt. 43, 497 (2002).
[CrossRef]

Chang-Hasnain, C. J.

Chiao, R. Y.

R. Y. Chiao and P. W. Milonni, Opt. Photonics News 13(6), 26 (2002).
[CrossRef]

Dong, P.

Eggleton, B. J.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

Feng, S.

S. Feng, X. Luo, and A. W. Poon, “Feedback-controlled resonance and temporal response modulations in silicon microring resonators,” to be presented at IEEE 7th International Conference on Group IV Photonics, Beijing, China, September 1–3, 2010.

Gauthier, D.

R. Boyd and D. Gauthier, Prog. Opt. 43, 497 (2002).
[CrossRef]

Heebner, J.

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

J. Heebner and R. Boyd, J. Mod. Opt. 49, 2629 (2002).
[CrossRef]

Jackson, D.

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

Ku, P. C.

Lenz, G.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

Lipson, M.

Liu, F.

Luo, X.

X. Luo and A. W. Poon, in Conference on Lasers and Electro-Optics 2010 (Optical Society of America, 2010), paper CTUHH1.

S. Feng, X. Luo, and A. W. Poon, “Feedback-controlled resonance and temporal response modulations in silicon microring resonators,” to be presented at IEEE 7th International Conference on Group IV Photonics, Beijing, China, September 1–3, 2010.

Madsen, C. K.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

C. K. Madsen and J. Zhao, Optical Filter Design and Analysis: a Signal Processing Approach (Wiley, 1999).
[CrossRef]

Manipatruni, S.

Milonni, P. W.

R. Y. Chiao and P. W. Milonni, Opt. Photonics News 13(6), 26 (2002).
[CrossRef]

Poon, A. W.

L. Zhou and A. W. Poon, Opt. Express 15, 9194 (2007).
[CrossRef] [PubMed]

S. Feng, X. Luo, and A. W. Poon, “Feedback-controlled resonance and temporal response modulations in silicon microring resonators,” to be presented at IEEE 7th International Conference on Group IV Photonics, Beijing, China, September 1–3, 2010.

X. Luo and A. W. Poon, in Conference on Lasers and Electro-Optics 2010 (Optical Society of America, 2010), paper CTUHH1.

Qiu, M.

Schweinsberg, A.

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

Slusher, R. E.

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

Soref, R.

R. Soref and B. Bennett, IEEE J. Quantum Electron. 23, 123 (1987).
[CrossRef]

Su, Y.

Tian, Y.

Tucker, R. S.

Wang, J.

Wang, T.

Wong, V.

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

Xu, Q.

Yariv, A.

A. Yariv, Electron. Lett. 36, 321 (2000).
[CrossRef]

Ye, T.

Zhang, Z.

Zhao, J.

C. K. Madsen and J. Zhao, Optical Filter Design and Analysis: a Signal Processing Approach (Wiley, 1999).
[CrossRef]

Zhou, L.

Electron. Lett. (1)

A. Yariv, Electron. Lett. 36, 321 (2000).
[CrossRef]

IEEE J. Quantum Electron. (3)

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

R. Soref and B. Bennett, IEEE J. Quantum Electron. 23, 123 (1987).
[CrossRef]

G. Lenz, B. J. Eggleton, C. K. Madsen, and R. E. Slusher, IEEE J. Quantum Electron. 37, 525 (2001).
[CrossRef]

J. Lightwave Technol. (2)

J. Mod. Opt. (1)

J. Heebner and R. Boyd, J. Mod. Opt. 49, 2629 (2002).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Opt. Photonics News (1)

R. Y. Chiao and P. W. Milonni, Opt. Photonics News 13(6), 26 (2002).
[CrossRef]

Prog. Opt. (1)

R. Boyd and D. Gauthier, Prog. Opt. 43, 497 (2002).
[CrossRef]

Other (3)

X. Luo and A. W. Poon, in Conference on Lasers and Electro-Optics 2010 (Optical Society of America, 2010), paper CTUHH1.

C. K. Madsen and J. Zhao, Optical Filter Design and Analysis: a Signal Processing Approach (Wiley, 1999).
[CrossRef]

S. Feng, X. Luo, and A. W. Poon, “Feedback-controlled resonance and temporal response modulations in silicon microring resonators,” to be presented at IEEE 7th International Conference on Group IV Photonics, Beijing, China, September 1–3, 2010.

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Figures (3)

Fig. 1
Fig. 1

Optical micrograph of the fabricated microring-resonator-based notch filter with a laterally integrated p-i-n diode on a SOI substrate. Inset, schematic cross section of the lateral p-i-n diode straddled across the SOI ring waveguide. The numerically simulated waveguide mode field intensity (by the beam-propagation method) is also denoted. t, waveguide transmission coefficient; κ, coupling coefficient; A, microring round-trip transmission coefficient; BOX, buried oxide.

Fig. 2
Fig. 2

Measured (a) transmission spectra, (b) time delay/advance, and (c) optical phase responses upon various dc-biased voltages. Modeled (d) transmission spectra, (e) time delay/advance, and (f) optical phase responses using the transfer-matrix method.

Fig. 3
Fig. 3

Measured (solid squares) and modeled (open circles) (a), (d) time-delay/advance; (b) transmission intensities; (c) TIP; (e) delay/advance bandwidth; and (f) TBP as a function of dc-bias voltages. The curves are visual aids.

Equations (1)

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T out = E out E in = t A exp ( i n eff ω L / c ) 1 t A exp ( i n eff ω L / c ) ,

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