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J Opt Soc Am A Opt Image Sci Vis. 2001 Feb;18(2):435-41.

Photonic bandgap structures in planar waveguides.

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1
Institute of Radio Engineering and Electronics, Academy of Sciences of the Czech Republic, Praha. ctyroky@ure.cas.cz

Abstract

If a one-dimensional (1D) or two-dimensional (2D) photonic bandgap (PBG) structure is incorporated into a planar optical waveguide, the refractive-index nonuniformity in the direction perpendicular to the waveguide plane responsible for waveguiding may affect its behavior detrimentally. Such influence is demonstrated in the paper by numerical modeling of a deeply etched first-order waveguide Bragg grating. On the basis of physical considerations, a simple condition for the design of 1D and 2D waveguide PBG structures free of this degradation is formulated; it is, in fact the separability condition for the wave equation. Its positive effect is verified by numerical modeling of a modified waveguide Bragg grating that fulfills the separability condition.

PMID:
11205991
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