| This thesis presents investigations into dynamic localization in electronic and optical waveguide systems. In the first part, we examine the conditions for exact dynamic localization which occurs independent of the band dispersion. Then we discuss other kinds of dynamic localization, approximate dynamic localization in weakly-coupled structures and quasi-Bloch oscillations in combined ac and dc fields.;In the second part of the thesis, we show that the wave equation for light propagation in curved coupled optical waveguide arrays can be mapping onto the Schrodinger equation, where time is replaced by the spatial coordinate in the propagation direction. We find that the curvature and the wavelength play the role of the "electric field" in electronic systems. For different curvature profiles, we see that the light exhibits the spatially periodic oscillations in the waveguide array which are analogous to electron Bloch oscillations, dynamic localization, and quasi-Bloch oscillations. We propose and examine a new kind of optical filter based on these interesting optical phenomena. We investigate narrowing the FWHM by optimizing curvature profile and study a hybrid cavity consisting of the curved optical waveguides inside a Fabry-Perot cavity. Finally, we discuss possible experiments for the observation of Bloch oscillations, dynamic localization, and quasi-Bloch oscillations in 3-D ridge waveguide structures. |
