Optical and Quantum Electronics

, Volume 36, Issue 1, pp 189–199

Transfer matrix and full Maxwell time domain analysis of nonlinear gratings

  • Alberto Parini
  • Gaetano Bellanca
  • Stefano Trillo
  • Luca Saccomandi
  • Paolo Bassi
Article

DOI: 10.1023/B:OQEL.0000015639.25619.ba

Cite this article as:
Parini, A., Bellanca, G., Trillo, S. et al. Optical and Quantum Electronics (2004) 36: 189. doi:10.1023/B:OQEL.0000015639.25619.ba

Abstract

In this paper we show that the transfer matrix method and the finite difference time domain technique applied to the full time-dependent Maxwell equations (in their one-dimensional form) permit to improve the description of nonlinear distributed feedback structures such as Bragg gratings. In fact, no simplifying hypothesis are introduced in the electromagnetic problem by these two numerical approaches. The two techniques validate qualitatively the results based on the standard coupled-mode theory for weakly nonlinear and shallow gratings, while significant quantitative deviations can appear in other cases.

finite difference in the time domain gratings nonlinear guided-wave optics numerical methods periodic structures transfer matrix method 

Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Alberto Parini
    • 1
  • Gaetano Bellanca
    • 1
  • Stefano Trillo
    • 1
  • Luca Saccomandi
    • 2
  • Paolo Bassi
    • 2
  1. 1.Dipartimento di IngegneriaUniversity of FerraraItaly
  2. 2.University of BolognaBolognaItaly

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