A lattice model for resonance in open periodic waveguides

  title={A lattice model for resonance in open periodic waveguides},
  author={Natalia Ptitsyna and Stephen P. Shipman},
  journal={arXiv: Mathematical Physics},
We present a discrete model of resonant scattering of waves by an open periodic waveguide. The model elucidates a phenomenon common in electromagnetics, in which the interaction of plane waves with embedded guided modes of the waveguide causes sharp transmission anomalies and field amplification. The ambient space is modeled by a planar lattice and the waveguide by a linear periodic lattice coupled to the planar one along a line. We show the existence of standing and traveling guided modes and… 

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