On guided electromagnetic waves in photonic crystal waveguides
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The paper addresses the issue of existence and confinement of electromagnetic modes guided by linear defects in photonic crystals. Sufficient condition are provided for existence of such waves near a given spectral location. Confinement to the guide is achieved due to a photonic band gap in the bulk dielectric medium.
Amer. Math. Soc. Transl. v. 231, AMS, 2010, pp. 99-108
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Kuchment, Peter||Ong, Beng-Seong