The bound states and transmission spectra of photonic-crystal circuits can be accurately described by the discrete equations with long-range interactions.

Abstract: We suggest a novel conceptual approach to describing the properties of waveguides and circuits in photonic crystals, based on effective discrete equations that include long-range interaction effects, We demonstrate, through the example of sharp waveguide bends, that our approach is very effective and accurate for the study of bound states and transmission spectra of photonic-crystal circuits and disclose the importance of evanescent modes in these phenomena.

Keywords: wave-guides; states; bends

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