A plate periodically bonded with piezoelectric patches on its surfaces is considered. The differential quadrature element method is used to solve the wave motion equation for the two-dimensional periodic structure. The method is very simple and easy to implement. Based on the method, band structures for in-plane wave propagating in the periodic piezoelectric plate are studied, from which the fr...

In this work, the vibrations of viscoelastic functionally graded Euler–Bernoulli nanostructure beams are investigated using the fractional-order calculus. It is assumed that the functionally graded nanobeam (FGN) is due to a periodic heat flux. FGN can be considered as nonhomogenous composite structures; with continuous structural changes along the thick- ness of the nanobeam usually, it change...

Photonic band structure of metal-dielectric and semiconductor-dielectric layered structures are studied in the presence of a strong absorption. It is shown that absorption can enlarge some gaps by as much as 50%. # 2001 Elsevier Science B.V. All rights reserved.

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 ...