Applied Physics A

, Volume 103, Issue 3, pp 835–838 | Cite as

Influence of the group-velocity on the pulse propagation in 1D silicon photonic crystal waveguides

Article

Abstract

We present a detailed analysis of the influence of the group velocity (GV) on the dynamics of optical pulses upon their propagation in one-dimensional photonic crystal waveguides (PhCW). The theoretical model used in our analysis incorporates the linear optical properties of the PhCW (GV dispersion and optical losses), free-carrier (FC) effects (FC dispersion and FC-induced optical losses) and nonlinear optical effects (Kerr nonlinearity and two-photon absorption). Our analysis shows that, unlike the case of uniform waveguides, the GV of the pulse, dispersion coefficients, and the waveguide nonlinear coefficient are periodic functions with respect to the propagation distance. We also demonstrate that linear and nonlinear effects depend on the group velocity, vg, as \(v_{g}^{-1}\) and \(v_{g}^{-2}\), respectively.

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References

  1. 1.
    G.T. Reed, A.P. Knights, Silicon Photonics: An Introduction (Wiley, New York, 2004) CrossRefGoogle Scholar
  2. 2.
    Q. Lin, O.J. Painter, G.P. Agrawal, Nonlinear optical phenomena in silicon waveguides: Modeling and applications. Opt. Express 15, 16604–16644 (2007) ADSCrossRefGoogle Scholar
  3. 3.
    R.M. Osgood, N.C. Panoiu, J.I. Dadap, X. Liu, X. Chen, I.-W. Hsieh, E. Dulkeith, W.M.J. Green, Y.A. Vlasov, Engineering nonlinearities in nanoscale optical systems: physics and applications in dispersion-engineered silicon nanophotonic wires. Adv. Opt. Photon. 1, 162–235 (2009) CrossRefGoogle Scholar
  4. 4.
    E. Dulkeith, Y.A. Vlasov, X. Chen, N.C. Panoiu, R.M. Osgood, Self-phase-modulation in submicron silicon-on-insulator photonic wires. Opt. Express 14, 5524–5534 (2006) ADSCrossRefGoogle Scholar
  5. 5.
    R. Claps, D. Dimitropoulos, V. Raghunathan, Y. Han, B. Jalali, Observation of stimulated Raman amplification in silicon waveguides. Opt. Express 11, 1731–1739 (2003) ADSCrossRefGoogle Scholar
  6. 6.
    H. Rong, A. Liu, R. Jones, O. Cohen, D. Hak, R. Nicolaescu, A. Fang, M. Paniccia, An all-silicon Raman laser. Nature 433, 292–294 (2005) ADSCrossRefGoogle Scholar
  7. 7.
    I.-W. Hsieh, X. Chen, J.I. Dadap, N.C. Panoiu, R.M. Osgood, S.J. McNab, Y.A. Vlasov, Crossphase modulation-induced spectral and temporal effects on co-propagating femtosecond pulses in silicon photonic wires. Opt. Express 15, 1135–1146 (2007) ADSCrossRefGoogle Scholar
  8. 8.
    X. Chen, N.C. Panoiu, R.M. Osgood, Theory of Raman-mediated pulsed amplification in silicon-wire waveguides. IEEE J. Quantum Electron. 42, 160–170 (2006) ADSCrossRefGoogle Scholar
  9. 9.
    A.C. Turner, C. Manolatou, B.S. Schmidt, M. Lipson, M.A. Foster, J.E. Sharping, A.L. Gaeta, Tailored anomalous group-velocity dispersion in silicon channel waveguides. Opt. Express 14, 4357–4362 (2006) ADSCrossRefGoogle Scholar
  10. 10.
    M. Soljacic, S.G. Johnson, S. Fan, M. Ibanescu, E. Ippen, J.D. Joannopoulos, Photonic-crystal slow-light enhancement of nonlinear phase sensitivity. J. Opt. Soc. Am. B 19, 2052–2059 (2002) ADSCrossRefGoogle Scholar
  11. 11.
    J.F. McMillan, X. Yang, N.C. Panoiu, R.M. Osgood, C.W. Wong, Enhanced stimulated Raman scattering in slow-light photonic crystal waveguides. Opt. Lett. 31, 1235–1237 (2006) ADSCrossRefGoogle Scholar
  12. 12.
    M. Bahl, N.C. Panoiu, R.M. Osgood, Nonlinear optical effects in a two-dimensional photonic crystal containing one-dimensional Kerr defects. Phys. Rev. E 67, 056604 (2003) ADSCrossRefGoogle Scholar
  13. 13.
    B. Corcoran, C. Monat, C. Grillet, D.J. Moss, B.J. Eggleton, T.P. White, L. O’Faolain, T.F. Krauss, Green light emission in silicon through slow-light enhanced third-harmonic generation in photonic crystal waveguides. Nat. Photon. 3, 206–210 (2009) ADSCrossRefGoogle Scholar
  14. 14.
    N.C. Panoiu, M. Bahl, R.M. Osgood, Optically tunable superprism effect in nonlinear photonic crystals. Opt. Lett. 28, 2503–2505 (2003) ADSCrossRefGoogle Scholar
  15. 15.
    N.C. Panoiu, J.F. McMillan, C.W. Wong, Theoretical analysis of pulse dynamics in silicon photonic crystal wire waveguides. IEEE J. Sel. Top. Quantum Electron. 16, 257–266 (2010) CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of Electronic and Electrical EngineeringUniversity College LondonLondonUK
  2. 2.Optical Nanostructures LaboratoryColumbia UniversityNew YorkUSA

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