Resonant oscillations of diffraction structures with weak nonlinearity

Fridrikh G. Bass*, Anatoly Ya Slepyan, Gregory Ya Slepyan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Shortened equations for open diffraction structures with a weak nonlinearity have been obtained in the vicinity of a resonance. The parameters of the equivalent pendulum are generally expressed in terms of eigenfrequences and eigenfunctions of an open resonant structure. As an example, a grating with nonlinear bodies has been considered. Bistability in the vicinity of Woods' anomalies has been studied, and the stability of various branches of the solutions has been analyzed.

Original languageEnglish
Pages (from-to)203-208
Number of pages6
JournalMicrowave and Optical Technology Letters
Issue number3
StatePublished - 1998
Externally publishedYes


  • Bistability
  • Diffraction
  • Grating
  • Nonlinearity


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