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<p>We consider cylindrical dielectric waveguide with a core having a gap. Using the variational method, we prove the existence of a bound state below the continuous spectrum threshold. An estimation for the eigenvalue is obtained. The result can be simply generalized to the case of a periodic set of the core gaps. This structure obeys the photonic crystal property: there is narrow band separated from the bottom of the continuous spectrum of the unperturbed operator by a bandgap. This property allows one to use it in scissor devices in fiber optics.</p>

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Bound state induced by a gap in fiber core

  • 期刊论文

  • 发表日期：

    2025年2月21日

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  • Igor Popov,
  • Maria Faleeva,
  • Alexander Lytaev

摘要

We consider cylindrical dielectric waveguide with a core having a gap. Using the variational method, we prove the existence of a bound state below the continuous spectrum threshold. An estimation for the eigenvalue is obtained. The result can be simply generalized to the case of a periodic set of the core gaps. This structure obeys the photonic crystal property: there is narrow band separated from the bottom of the continuous spectrum of the unperturbed operator by a bandgap. This property allows one to use it in scissor devices in fiber optics.