Optical Waveguide Concepts

1. Basic Concepts. Maxwell equations. Normal mode theory. Scattering matrices. Coupled mode theory. Variational techniques. 2. Modes of Optical Waveguides - I. The weak guidance approximation. Waveguides embedded in a low index medium. Step-index slab waveguides. Step-index circular fibers. Weakly guiding anisotropic waveguides. 3. Modes of Optical Waveguides - II. Graded slabs or fibers. 3-D planar waveguides. Numerical methods for arbitrary cross-sections. Leaky modes. 4. Perturbation Techniques. Modal expansion method. Variational techniques. Reciprocity techniques. Global perturbation methods. Applications. 5. Non-Uniform Systems. Local mode expansions. Bent waveguides. Bent and twisted waveguides. Non-uniform curvatures. 6. Discontinuities. Excitation of a guided mode through a junction. Abrupt discontinuities. Bibliography. Index.