Abstract

We report the demonstration of electro-optical tunable time delay and advance using a silicon feedback-microring resonator integrated with p-i-n diodes. By controlling the feedback and round-trip phase shifts through the carrier-injection-based free-carrier dispersion effect, we obtain a large dynamic time tuning range (88ps to 110ps) upon dc bias voltage change in the range of few tens of millivolts at a given resonance wavelength. We also demonstrate tunable time delay and advance at different resonance wavelengths within 0.76nm wavelength range.

© 2011 Optical Society of America

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2010

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2007

2004

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

2002

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

1987

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

Beals, M. A.

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]

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]

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

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]

Canciamilla, A.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Cardenas, J.

Carothers, D. N.

Chen, H.

Chen, Y. K.

De La Rue, R.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Dong, P.

Ferrari, C.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Foster, M. A.

Gaeta, A. L.

Gauthier, D. J.

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

Gill, D. M.

Grove, M. J.

Heebner, J.

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

Hoekstra, H. J. W. M.

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]

Jackson, D.

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

Khurgin, J. B.

Kimerling, L. C.

Krauss, T. F.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Li, Q.

Lipson, M.

Lira, H. L. R.

Liu, F. F.

Lowell, J. R.

E. Parra and J. R. Lowell, Opt. Photonics News 18, 40 (2007).
[CrossRef]

Luo, X.

Manipatruni, S.

Melloni, A.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Michel, J.

Morichetti, F.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Morton, P.

O’Faolain, L.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Parra, E.

E. Parra and J. R. Lowell, Opt. Photonics News 18, 40 (2007).
[CrossRef]

Patel, S. S.

Poitras, C. B.

Pomerene, A. T. S.

Poon, A. W.

Qiu, M.

Rasras, M. S.

Roeloffzen, C. G. H.

Samarelli, A.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Schweinsberg, A.

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

Sherwood-Droz, N.

Shi, Z.

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

Soref, R.

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

Sorel, M.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

Sparacin, D. K.

Su, Y. K.

Tu, K. Y.

Uranus, H. P.

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]

White, A. E.

Wong, V.

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

Xu, Q.

Zhang, B.

Zhang, Z. Y.

Zhou, L.

Zhuang, L.

IEEE J. Quantum Electron.

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

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

IEEE Photon. J.

A. Melloni, A. Canciamilla, C. Ferrari, F. Morichetti, L. O’Faolain, T. F. Krauss, R. De La Rue, A. Samarelli, and M. Sorel, IEEE Photon. J. 2, 181 (2010).
[CrossRef]

J. Lightwave Technol.

Opt. Express

Opt. Lett.

Opt. Photonics News

E. Parra and J. R. Lowell, Opt. Photonics News 18, 40 (2007).
[CrossRef]

Phys. Rev. Lett.

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

Prog. Opt.

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

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Figures (3)

Fig. 1
Fig. 1

(a) Schematic of a silicon feedback- microring resonator with laterally integrated p-i-n diodes in a SOI substrate. (b)–(d) Modeled normalized intensity (b), phase response (c), and time delay (d) upon various feedback-phase shift δ ψ of 0 (black), 0.20 π (red), 0.35 π (blue), and 0.45 π (green). (e) Optical micrograph of the fabricated device comprising the feedback-microring resonator connected to a microring-resonator-based notch filter without the feedback waveguide. G, ground; S, signal. Inset: schematic cross section of the diode-integrated waveguide. Al, aluminum.

Fig. 2
Fig. 2

Measured (a)–(c) TE-polarized transmission spectra and (d)–(f) the corresponding time delay. (a), (d)  V U = 0.00 V ; (b), (e)  V U = 1.00 V ; (c), (f)  V U = 1.01 V . (g), (h) Zoom-in view of (e), (f) in the vicinity of resonance A. (i) Measured normalized intensity (blue squares) and time delay (red circles) of resonance A as a function of bias voltage V U .

Fig. 3
Fig. 3

Measured (a)–(b) TE-polarized transmission spectra and (c)–(d) the corresponding time delay. (a), (c)  V R = 0.95 V , V U = 1.13 V (black), V U = 1.14 V (blue); (b), (d)  V R = 1.00 V , V U = 1.18 V (black), V U = 1.20 V (green). (e), (f) Zoom-in view of (c), (d) in the vicinity of resonance A.

Equations (1)

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E out E in = τ 2 b γ e i ( ψ + 2 φ ) κ 2 a η e i ( θ + 2 φ ) a 2 η 2 b γ e i ( 2 θ + ψ + 4 φ ) 1 + κ 2 a η b γ e i ( θ + ψ + 2 φ ) τ 2 a 2 η 2 e i ( 2 θ + 2 φ ) ,

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