Statistical fluctuations of transmission in slow light photonic-crystal waveguides

S. Mazoyer, P. Lalanne, J. C. Rodier, J. P. Hugonin, M. Spasenovic, L. Kuipers, D. M. Beggs, T. F. Krauss

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)

Abstract

We report statistical fluctuations for the transmissions of a series of photonic-crystal waveguides (PhCWs) that are supposedly identical and that only differ because of statistical structural fabrication-induced imperfections. For practical PhCW lengths offering tolerable -3dB attenuation with moderate group indices (n(g)approximate to 60), the transmission spectra contains very narrow peaks (Q approximate to 20,000) that vary from one waveguide to another. The physical origin of the peaks is explained by calculating the actual electromagnetic-field pattern inside the waveguide. The peaks that are observed in an intermediate regime between the ballistic and localization transports are responsible for a smearing of the local density of states, for a rapid broadening of the probability density function of the transmission, and bring a severe constraint on the effective use of slow light for on-chip optical information processing. The experimental results are quantitatively supported by theoretical results obtained with a coupled-Bloch-mode approach that takes into account multiple scattering and localization effects. (C) 2010 Optical Society of America

Original languageEnglish
Pages (from-to)14654-14663
Number of pages10
JournalOptics Express
Volume18
Issue number14
DOIs
Publication statusPublished - 5 Jul 2010

Keywords

  • DIMENSIONAL DISORDERED-SYSTEMS
  • GROUP-VELOCITY
  • SCATTERING
  • NANOCAVITIES
  • TRANSPORT
  • LOSSES
  • DELAY
  • SLABS

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