The coupling phenomena between two slab waveguides in the presence of ring resonators are investigated through a rigorous integral equation analysis. A Green’s-function-theory approach is utilized to develop the integral equation formulation. The solution is obtained by applying an entire-domain Galerkin technique, using the orthogonality properties of involved wave functions in the ring resonators. The field’s transmission and reflection coefficients are accurately computed and a practical directional-coupler approach is discussed. The presented results reveal strong resonant coupling phenomena between the two waveguides and the resonators.
© 2004 Optical Society of America
Original Manuscript: July 8, 2003
Revised Manuscript: October 10, 2003
Manuscript Accepted: October 20, 2003
Published: February 1, 2004
Ioannis D. Chremmos and Nikolaos K. Uzunoglu, "Analysis of coupling between two slab waveguides in the presence of ring resonators," J. Opt. Soc. Am. A 21, 267-279 (2004)