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.

© 2001 Optical Society of America

Photonic-bandgap structures in planar nonlinear waveguides: application to second-harmonic generation

D. Pezzetta, C. Sibilia, M. Bertolotti, J. W. Haus, M. Scalora, M. J. Bloemer, and C. M. Bowden
J. Opt. Soc. Am. B 18(9) 1326-1333 (2001)

Photonic-bandgap planar hollow waveguide

Andrei B. Fedotov, Aleksandr N. Naumov, Dimitrii A. Sidorov-Biryukov, Nikolai V. Chigarev, Aleksei M. Zheltikov, Joseph W. Haus, and Richard B. Miles
J. Opt. Soc. Am. B 19(5) 1162-1168 (2002)

Photonic bandgap structures in planar nonlinear waveguides: application to squeezed-light generation

D. Tricca, C. Sibilia, S. Severini, M. Bertolotti, M. Scalora, C. M. Bowden, and K. Sakoda
J. Opt. Soc. Am. B 21(3) 671-680 (2004)

Planar photonic crystal structure with inherently single-mode waveguides

Alejandro Martinez, Jaime Garcia, Guillermo Sanchez, and Javier Marti
J. Opt. Soc. Am. A 20(11) 2131-2136 (2003)

Enhanced Čerenkov second-harmonic generation in a planar nonlinear waveguide that reproduces a one-dimensional photonic bandgap structure

D. Pezzetta, C. Sibilia, M. Bertolotti, R. Ramponi, R. Osellame, M. Marangoni, J. W. Haus, M. Scalora, M. J. Bloemer, and C. M. Bowden
J. Opt. Soc. Am. B 19(9) 2102-2110 (2002)