Optical and Quantum Electronics

, Volume 38, Issue 9, pp 761–780

Self-phase modulation in slow-wave structures: A comparative numerical analysis

  • Francesco Morichetti
  • Andrea Melloni
  • Jaroslav Čáp
  • Jiří Petráćek
  • Peter Bienstman
  • Gino Priem
  • Bjorn Maes
  • Michele Lauritano
  • Gaetano Bellanca
Article

DOI: 10.1007/s11082-006-9024-x

Cite this article as:
Morichetti, F., Melloni, A., Čáp, J. et al. Opt Quant Electron (2006) 38: 761. doi:10.1007/s11082-006-9024-x

Abstract

Self-phase modulation effects in 1D optical slow-wave structures made of Fabry–Pérot cavities coupled by Distributed Bragg Reflectors (DBRs) are discussed. The nonlinear response of the structure is investigated by a comparative analysis of several numerical methods operating either in time or frequency-domain. Time-domain methods include two Finite-Difference Time-Domain approaches, respectively, optimized to compensate for numerical dispersion and to model nonlinearity at any order. In the frequency-domain an efficient method based on a numerical integration of Maxwell’s equations and an iterative nonlinear extension of the Eigenmode Expansion method are discussed. A Nonlinear Equivalent Circuit of DBRs is also presented as a useful model to reduce computational efforts. Numerical results show that bistable effects and self-pulsing phenomena can occur when either the optical power or the number of coupled cavities of the structure are sufficiently increased.

Keywords

Nonlinear opticsoptical bistabilityresonatorsself-phase modulationslow-wave propagation

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Francesco Morichetti
    • 1
  • Andrea Melloni
    • 1
  • Jaroslav Čáp
    • 2
  • Jiří Petráćek
    • 2
  • Peter Bienstman
    • 3
  • Gino Priem
    • 3
  • Bjorn Maes
    • 3
  • Michele Lauritano
    • 4
  • Gaetano Bellanca
    • 4
  1. 1.Dipartimento di Elettronica e InformazionePolitecnico di MilanoMilanoItaly
  2. 2.Institute of Physical EngineeringBrno University of TechnologyBrnoCzech Republic
  3. 3.Department of Information TechnologyGhent UniversityGhentBelgium
  4. 4.Dipartimento di IngegneriaUniversitá di FerraraFerraraItaly