Definitions and review of applications of integrated optics. Review of electromagnetic principles. Thin film (slab) dielectric waveguides,
multi-layered slab waveguides, channel dielectric waveguides. Mode orthogonality and normalization. Discontinuities of slab waveguides (mode matching). Coupled mode theory. Directional couplers. The Finite-Difference Frequency-Domain (FDFD) method for the analysis of dielectric waveguides. Fabrication methods of dielectric waveguides. Cylindrical dielectric waveguides. Dielectric waveguides and dispersion. Diffraction from periodic structures. Grating equation, Bragg conditions, exact and approximate analysis methods of grating diffraction. Rigorous coupled-wave analysis. Two-wave coupled-wave analysis (Kogelnik). Coupled-mode theory for periodic co-directional and contra-direction waveguide gratings. Waveguide couplers, prism couplers, grating couplers. Optical modulators, optical beam deviation, optical switches, optical filters, integrated lenses, multiplexers and demultiplexers based on electro-optic, acousto-optic, magneto-optic and electro-absorption effects. Introduction to the theory of photonic crystals. Photonic crystal structures in integrated optics. Basic principles of plasmon waveguides in integrated optics. Beam propagation method.