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Thesis Title: Date of Defense: 11/2/2008 Open Metamaterial Waveguides and Nonlinear Magnetic Properties Student Name: Farid-Al-Din Fayazbakhsh Student Number: 84702373 Program of Study: Master of Science Field of Study: Communication Thesis Advisor: Dr. Mahmoud Akbari Thesis Co-Advisor: Dr. Amir Ahmad Shishegar Keywords: 1- Left-Handed Material (LHM) 2- Negative Refraction 3- Surface Plasmon modes 4- Nonlinear Hystersis-like Behavior 5- Self-Phase Modulation Abstract Achieving artificial electromagnetic structures with favorable and tunable properties is one of the greatest interests of researchers all over the years. A specific new branch of these structures known as metamaterial has attracted particular attention especially since last years of 20’s century, due to their exciting features which can not be found in natural materials, such as left-handed behavior, negative refraction, etc. Furthermore, new interesting and ever-increasing applications in science and technology –such as making superlenses, sub-wavelength waveguides and resonators, invisible cloak and antireflection layers and so onhas made this branch of science a very active and hot branch of physics and electromagnetic in these years. We, in this thesis, had reviewed the physics of metamaterials in the context of a historical aspect, will investigate two kinds of metamaterial waveguide structures (specifically metamaterial slab and circular metamaterial waveguide known as meta-fiber). Guided modes of each waveguide including ordinary modes and surface plasmon modes with their dispersion diagrams has been derived and compared with those of an ordinary right-handed waveguides. We also, investigated the origin of nonlinear behavior of metamaterial structures and their magnetic permeability model in the vicinity of nonlinearity, noting their hystersis-like behavior in nonlinear regime. The frequency-dependence of critical magnetic fields in the hystersis diagrams has been calculated for the first time in the literature. Self-phase modulation which is a well-known phenomenon in natural materials with electric nonlinearity can be found in metamaterials with magnetic nonlinear behavior, but in its own way. We have shown the evolution of a modulated Gaussian pulse in a nonlinear bulk metamaterial encountering blue and red shifts or equivalently spectral broadening due to self-phase modulation.