Abstract

Ring-down temporal measurements of silicon-on-insulator wire racetrack resonators are performed with 150 fs input pulses using a parametric process in a nonlinear crystal to gate and amplify the weak output pulses. We measure the cavity round trip time and the quality factor of these all-pass filters and find excellent agreement with continuous wave spectroscopic measurements as well as with an analytic model built using numerical solutions for the fully vectorial waveguide modes.

© 2013 Optical Society of America

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  1. W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
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    [CrossRef]
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    [CrossRef]
  5. H. Gersen, D. J. W. Klunder, J. P. Korterik, A. Driessen, N. F. van Hulst, and L. Kuipers, Opt. Lett. 29, 1291 (2004).
    [CrossRef]
  6. A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
    [CrossRef]
  7. W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
    [CrossRef]
  8. Q. Xu, D. Fattal, and R. G. Beausoleil, Opt. Express 16, 4309 (2008).
    [CrossRef]
  9. W. Bogaerts, J. Lightwave Technol. 23, 401 (2005).
    [CrossRef]
  10. F. Xia, L. Sekaric, and Y. A. Vlasov, Opt. Express 14, 3872 (2006).
    [CrossRef]
  11. E. Dulkeith, Y. A. Vlasov, X. Chen, N. C. Panoiu, and R. M. Osgood, Opt. Express 14, 5524 (2006).
    [CrossRef]
  12. D. Taillaert, W. Bogaerts, P. Bienstman, D. D. Zutter, and R. Baets, IEEE J. Quantum Electron. 38, 949 (2002).
    [CrossRef]
  13. Mode Solutions, Lumerical, www.lumerical.com .
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    [CrossRef]
  15. D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Nature 421, 925 (2003).
    [CrossRef]
  16. A. Yariv, Electron. Lett. 36, 321 (2000).
    [CrossRef]
  17. Y. A. Vlasov and S. J. McNab, Opt. Express 12, 1622 (2004).
    [CrossRef]
  18. F. Raineri, T. J. Karle, V. Roppo, P. Monnier, and R. Raj, Phys. Rev. A 87, 041802(R) (2013).
    [CrossRef]

2013 (1)

F. Raineri, T. J. Karle, V. Roppo, P. Monnier, and R. Raj, Phys. Rev. A 87, 041802(R) (2013).
[CrossRef]

2012 (3)

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

S. Azzini, D. Grassani, M. J. Strain, M. Sorel, L. G. Helt, J. E. Sipe, M. Liscidini, M. Galli, and D. Bajoni, Opt. Express 20, 23100 (2012).
[CrossRef]

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

2009 (1)

2008 (1)

2007 (2)

Q. Xu and M. Lipson, Opt. Express 15, 924 (2007).
[CrossRef]

A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
[CrossRef]

2006 (2)

2005 (1)

2004 (3)

2003 (1)

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Nature 421, 925 (2003).
[CrossRef]

2002 (1)

D. Taillaert, W. Bogaerts, P. Bienstman, D. D. Zutter, and R. Baets, IEEE J. Quantum Electron. 38, 949 (2002).
[CrossRef]

2000 (1)

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

Almeida, V. R.

Armani, D. K.

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Nature 421, 925 (2003).
[CrossRef]

Azzini, S.

Baets, R.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

D. Taillaert, W. Bogaerts, P. Bienstman, D. D. Zutter, and R. Baets, IEEE J. Quantum Electron. 38, 949 (2002).
[CrossRef]

Bajoni, D.

Beausoleil, R. G.

Beveratos, A.

Bienstman, P.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

D. Taillaert, W. Bogaerts, P. Bienstman, D. D. Zutter, and R. Baets, IEEE J. Quantum Electron. 38, 949 (2002).
[CrossRef]

Bogaerts, W.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

W. Bogaerts, J. Lightwave Technol. 23, 401 (2005).
[CrossRef]

D. Taillaert, W. Bogaerts, P. Bienstman, D. D. Zutter, and R. Baets, IEEE J. Quantum Electron. 38, 949 (2002).
[CrossRef]

Bornholdt, C.

A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
[CrossRef]

Braive, R.

Chen, X.

Claes, T.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

De Heyn, P.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

De Vos, K.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

Dekker, R.

A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
[CrossRef]

Driessen, A.

A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
[CrossRef]

H. Gersen, D. J. W. Klunder, J. P. Korterik, A. Driessen, N. F. van Hulst, and L. Kuipers, Opt. Lett. 29, 1291 (2004).
[CrossRef]

Dulkeith, E.

Dumon, P.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

Fattal, D.

Galli, M.

Gersen, H.

Geuzebroek, D. H.

A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
[CrossRef]

Goltsman, G. N.

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

Grassani, D.

Helt, L. G.

Hostein, R.

Karle, T. J.

Kippenberg, T. J.

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Nature 421, 925 (2003).
[CrossRef]

Klein, E. J.

A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
[CrossRef]

Klunder, D. J. W.

Korterik, J. P.

Kuipers, L.

Li, M.

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

Lipson, M.

Liscidini, M.

McNab, S. J.

Minaeva, O.

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

Monnier, P.

F. Raineri, T. J. Karle, V. Roppo, P. Monnier, and R. Raj, Phys. Rev. A 87, 041802(R) (2013).
[CrossRef]

Osgood, R. M.

Panoiu, N. C.

Pernice, W. H. P.

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

Raineri, F.

Raj, R.

Roppo, V.

F. Raineri, T. J. Karle, V. Roppo, P. Monnier, and R. Raj, Phys. Rev. A 87, 041802(R) (2013).
[CrossRef]

Sagnes, I.

Schuck, C.

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

Sekaric, L.

Selvaraja, S. Kumar

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

Sergienko, A. V.

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

Sipe, J. E.

Sorel, M.

Spillane, S. M.

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Nature 421, 925 (2003).
[CrossRef]

Stoffer, R.

A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
[CrossRef]

Strain, M. J.

Taillaert, D.

D. Taillaert, W. Bogaerts, P. Bienstman, D. D. Zutter, and R. Baets, IEEE J. Quantum Electron. 38, 949 (2002).
[CrossRef]

Tang, H. X.

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

Vahala, K. J.

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Nature 421, 925 (2003).
[CrossRef]

van Hulst, N. F.

Van Thourhout, D.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

Van Vaerenbergh, T.

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

Vlasov, Y. A.

Xia, F.

Xu, Q.

Yacomotti, A.

Yariv, A.

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

Zutter, D. D.

D. Taillaert, W. Bogaerts, P. Bienstman, D. D. Zutter, and R. Baets, IEEE J. Quantum Electron. 38, 949 (2002).
[CrossRef]

Electron. Lett. (1)

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

IEEE J. Quantum Electron. (1)

D. Taillaert, W. Bogaerts, P. Bienstman, D. D. Zutter, and R. Baets, IEEE J. Quantum Electron. 38, 949 (2002).
[CrossRef]

J. Lightwave Technol. (1)

Laser Photonics Rev. (1)

W. Bogaerts, P. De Heyn, T. Van Vaerenbergh, K. De Vos, S. Kumar Selvaraja, T. Claes, P. Dumon, P. Bienstman, D. Van Thourhout, and R. Baets, Laser Photonics Rev. 6, 47 (2012).
[CrossRef]

Nat. Commun. (1)

W. H. P. Pernice, C. Schuck, O. Minaeva, M. Li, G. N. Goltsman, A. V. Sergienko, and H. X. Tang, Nat. Commun. 3, 1325 (2012).
[CrossRef]

Nature (1)

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, Nature 421, 925 (2003).
[CrossRef]

Opt. Commun. (1)

A. Driessen, D. H. Geuzebroek, E. J. Klein, R. Dekker, R. Stoffer, and C. Bornholdt, Opt. Commun. 270, 217 (2007).
[CrossRef]

Opt. Express (7)

Opt. Lett. (2)

Phys. Rev. A (1)

F. Raineri, T. J. Karle, V. Roppo, P. Monnier, and R. Raj, Phys. Rev. A 87, 041802(R) (2013).
[CrossRef]

Other (1)

Mode Solutions, Lumerical, www.lumerical.com .

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Figures (3)

Fig. 1.
Fig. 1.

Scanning electron microscopy image and scheme of the sample.

Fig. 2.
Fig. 2.

Schematic of nonlinear optical gating technique with the depiction of the actual beam path. Elements: (RA) Ti:sapphire regenerative amplifier; (OPA) optical parametric amplifier; (D) Dazzler pulse shaper; (CW) continuous wave laser; (P) polarizer; (C) chopper; (DL) delay line; (SP) spectrometer; (F) long-pass filter; (PD) photo detector; (PM) photo multiplier tube; (B) boxcar averager; (L) lock-in amplifier; (BB01) and (BB02) nonlinear crystals.

Fig. 3.
Fig. 3.

Gated pulse sequence arising from the ringdown of the racetrack resonator. (dot) Exp. results and (solid line) fit using Eq. (2). The dashed line represents the exponential decay of the peaks.

Tables (1)

Tables Icon

Table 1. The CW Round Trip Times (fs) Calculated from the FSR Compared to the Average Pulse Round Trip Times (fs) Measured Using Parametric Amplication, PA

Equations (5)

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

[b1b2](t)=[τκκ*τ*][a1a2](t).
S(t)=|b1|2=|τ|2A(t)+|κ|4|τ|2p=1(|τ|2e2αL)pA(tpT)
(|τ|2e2αL)t/T=e2π.
Q=ωT2αLlog(1|κ|2).
|κ|2=1/(1+R1/R2),

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