Abstract

The dispersion of the waveguides that constitute microring resonators can considerably affect the dispersion characteristics of coupled-resonator optical waveguides (CROWs). We derive expressions for CROW dispersion and group delay for silicon-on-insulator microring CROWs, showing both theoretically and experimentally the band-to-band dependence of the bandwidth and group delay on the dispersion properties of the constituent single-mode silicon waveguide.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. F. Xia, L. Sekaric, and Y. Vlasov, Nat. Photon. 1, 65 (2007).
    [CrossRef]
  2. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, Opt. Lett. 24, 711 (1999).
    [CrossRef]
  3. B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
    [CrossRef]
  4. J. B. Khurgin, Opt. Lett. 30, 513 (2005).
    [CrossRef] [PubMed]
  5. R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Willner, Phys. Rev. A 71, 023801 (2005).
    [CrossRef]
  6. A. Melloni, F. Morichetti, C. Ferrari, and M. Martinelli, Opt. Lett. 33, 2389 (2008).
    [CrossRef] [PubMed]
  7. X. Luo and A. W. Poon, Opt. Express 17, 23617 (2009).
    [CrossRef]
  8. J. K. S. Poon, J. Scheuer, S. Mookherjea, G. Paloczi, Y. Huang, and A. Yariv, Opt. Express 12, 90 (2004).
    [CrossRef] [PubMed]
  9. S. Mookherjea, J. S. Park, S. H. Yang, and P. R. Bandaru, Nat. Photon. 2, 90 (2008).
    [CrossRef]
  10. E. Dulkeith, F. Xia, L. Schares, W. M. J. Green, and Y. A. Vlasov, Opt. Express 14, 3853 (2006).
    [CrossRef] [PubMed]
  11. A. C. Turner, C. Manolatou, B. S. Schmidt, M. Lipson, M. A. Foster, J. E. Sharping, and A. L. Gaeta, Opt. Express 14, 4357 (2006).
    [CrossRef] [PubMed]
  12. J. K. S. Poon, L. Zhu, G. A. DeRose, and A. Yariv, J. Lightwave Technol. 24, 1843 (2006).
    [CrossRef]
  13. D. K. Gifford, B. J. Soller, M. S. Wolfe, and M. E. Froggatt, Appl. Opt. 44, 7282 (2005).
    [CrossRef] [PubMed]
  14. J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, J. Opt. Soc. Am. B 21, 1665 (2004).
    [CrossRef]

2009 (1)

2008 (2)

A. Melloni, F. Morichetti, C. Ferrari, and M. Martinelli, Opt. Lett. 33, 2389 (2008).
[CrossRef] [PubMed]

S. Mookherjea, J. S. Park, S. H. Yang, and P. R. Bandaru, Nat. Photon. 2, 90 (2008).
[CrossRef]

2007 (1)

F. Xia, L. Sekaric, and Y. Vlasov, Nat. Photon. 1, 65 (2007).
[CrossRef]

2006 (3)

2005 (3)

2004 (3)

J. K. S. Poon, J. Scheuer, S. Mookherjea, G. Paloczi, Y. Huang, and A. Yariv, Opt. Express 12, 90 (2004).
[CrossRef] [PubMed]

J. K. S. Poon, J. Scheuer, Y. Xu, and A. Yariv, J. Opt. Soc. Am. B 21, 1665 (2004).
[CrossRef]

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

1999 (1)

Absil, P. P.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Bandaru, P. R.

S. Mookherjea, J. S. Park, S. H. Yang, and P. R. Bandaru, Nat. Photon. 2, 90 (2008).
[CrossRef]

Boyd, R. W.

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Willner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

Chu, S. T.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

DeRose, G. A.

Dulkeith, E.

Ferrari, C.

Foster, M. A.

Froggatt, M. E.

Gaeta, A. L.

Gauthier, D. J.

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Willner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

Gifford, D. K.

Gill, D.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Green, W. M. J.

Hryniewicz, J. V.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Huang, Y.

Johnson, F. G.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Khurgin, J. B.

King, O.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Lee, R. K.

Lipson, M.

Little, B. E.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Luo, X.

Manolatou, C.

Martinelli, M.

Melloni, A.

Mookherjea, S.

Morichetti, F.

Paloczi, G.

Park, J. S.

S. Mookherjea, J. S. Park, S. H. Yang, and P. R. Bandaru, Nat. Photon. 2, 90 (2008).
[CrossRef]

Poon, A. W.

Poon, J. K. S.

Schares, L.

Scherer, A.

Scheuer, J.

Schmidt, B. S.

Seiferth, F.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Sekaric, L.

F. Xia, L. Sekaric, and Y. Vlasov, Nat. Photon. 1, 65 (2007).
[CrossRef]

Sharping, J. E.

Soller, B. J.

Trakalo, M.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Turner, A. C.

Van, V.

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

Vlasov, Y.

F. Xia, L. Sekaric, and Y. Vlasov, Nat. Photon. 1, 65 (2007).
[CrossRef]

Vlasov, Y. A.

Willner, A. E.

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Willner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

Wolfe, M. S.

Xia, F.

Xu, Y.

Yang, S. H.

S. Mookherjea, J. S. Park, S. H. Yang, and P. R. Bandaru, Nat. Photon. 2, 90 (2008).
[CrossRef]

Yariv, A.

Zhu, L.

Appl. Opt. (1)

IEEE Photonics Technol. Lett. (1)

B. E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V. Van, O. King, and M. Trakalo, IEEE Photonics Technol. Lett. 16, 2263 (2004).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. Soc. Am. B (1)

Nat. Photon. (2)

F. Xia, L. Sekaric, and Y. Vlasov, Nat. Photon. 1, 65 (2007).
[CrossRef]

S. Mookherjea, J. S. Park, S. H. Yang, and P. R. Bandaru, Nat. Photon. 2, 90 (2008).
[CrossRef]

Opt. Express (4)

Opt. Lett. (3)

Phys. Rev. A (1)

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, and A. E. Willner, Phys. Rev. A 71, 023801 (2005).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Silicon microring CROWs ranging from 35 to 235 microrings, fabricated on 200 mm wafers and cleaved into 4 mm long chips. Inset, scanning electron microscope image of the region indicated by the dashed box.

Fig. 2
Fig. 2

(Top) Group index ( n g ) of the CROW’s constituent waveguides, derived from the free spectral range of the CROW (markers) and group index data (light-gray) determined from (bottom) the group delay of four straight waveguides of varying lengths, L.

Fig. 3
Fig. 3

(a) Transmission and group-delay spectra for 11 bands of a 35-ring CROW, along with each band’s center wavelength. (b) Markers, band-center group delay for different length CROWs across the measured 11 bands. Solid line, prediction of the group delay of a CROW using Eq. (5).

Equations (8)

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

sin ( β π R ) = ± κ cos ( K Λ ) ,
n eff ( ω ) = n eff ( Ω ) + δ ω d n eff d ω | ω = Ω .
sin ( β π R ) sin [ π n eff ( Ω ) R c Ω m + π ( n eff ( Ω ) + Ω d n eff d ω | ω = Ω ) n g ( Ω ) R c δ ω ] = ( 1 ) sin [ π m n g ( Ω ) n eff ( Ω ) δ ω Ω ] ,
sin [ π m n g ( Ω ) n eff ( Ω ) δ ω Ω ] = ± ( 1 ) m κ cos ( K Λ ) .
τ g = π n g R N | κ | c .
| κ | = sin [ 2 π 2 n g ( λ 0 ) R λ 0 δ λ 1 / 2 λ 0 ] 2 π 2 n g ( λ 0 ) R λ 0 δ λ 1 / 2 λ 0 ,
α CROW = α wg N π R | κ | ,
n g = c 2 π R Δ f FSR ,

Metrics