Periodic structures have been extensively used in the history of microwave engineering. Recently, there appears a significant renewed interest in this subject, due to highly publicized Photonic Crystals and Metamaterials. This lecture introduces basic theory on the electromagnetic aspects and circuit representations of periodic structures. Several practical examples are introduced. Some fundame...

This paper deals with the theory and device applications of periodic thin-film waveguides. Topics treated include mode solutions, optical fiiters, distributed feedback lasers (DFB), distzibuted B r a g reflector (DBR) lasers, grating couplers, and phase matching in nonlinear interactions.

In this chapter we discuss optical properties of dual-periodic photonic (super-)structures. Conventional photonic crystal structures exhibit a periodic modulation of the dielectric constant in one, two or three spatial dimensions (Joannopoulos, 2008). In a dual-periodic structure, the dielectric constant is varied on two distinct scales a1,2 along the same direction(s). An example of such a var...

Thin-film dielectric waveguides with a periodic refractive index, a periodic substrate, or periodic surface are studied. The field is determined from Maxwell's equations using Floquet's theorem. The Brillouin diagram and the interaction regions are investigated. The bandwidth and the attenuation coefficients of the interaction regions are given as a function of the optical wavelength. A number ...