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.
© 2001 Optical Society of America
Original Manuscript: August 31, 1999
Revised Manuscript: August 1, 2000
Manuscript Accepted: August 1, 2000
Published: February 1, 2001
Jiří Čtyroký, "Photonic bandgap structures in planar waveguides," J. Opt. Soc. Am. A 18, 435-441 (2001)