An analytical model for propagation through and reflection from a discontinuity in coupled-cavity waveguides (CCWs) (also known as coupled-resonator optical waveguides—CROW) is developed. The theory is based on a modification of the tight-binding theory for propagation in nonuniform structures. Explicit analytic expressions for the reflection and transmission coefficients are obtained. These expressions resemble in form and structure the well-known Fresnel coefficients, with the traditional wave impedance parameter replaced by the device bandwidth. Matching of two uniform CCWs with the use of an intermediate serial section is also discussed, and an analogy to the well-known quarter-wavelength plate is pointed out.
© 2006 Optical Society of America
Original Manuscript: September 20, 2005
Revised Manuscript: December 6, 2005
Manuscript Accepted: January 12, 2006
Ben Z. Steinberg and Amir Boag, "Propagation in photonic crystal coupled-cavity waveguides with discontinuities in their optical properties," J. Opt. Soc. Am. B 23, 1442-1450 (2006)