Coupled Mode Theory: As Applied to Microwave and Optical Transmission

This book deals with microwave and optical transmission from the unique viewpoint of Maxwell's theory, and via the consistent theoretical framework of coupled modes (ideal modes, local modes and super modes). A feature of the book is its particular emphasis on the usefulness of the coupled mode theory. The author has carried out to the end the solution of a diversity of waveguide problems, such as curved waveguides, tapered waveguides, tolerances of imperfections for a microwave and optical transmission line, etc. Another feature reflected in this volume is its presentation of adequate background material required for understanding the theory, which often appears complicated and difficult in the literature. The book begins with phenomenological theories of coupled modes, with the intention to familiarize the reader in a simple way with the basic concepts relevant to a further development of the coupled mode theory. Solutions of the coupled mode equations with constant or variable coefficients and orthogonal expansions in waveguides, whose combination represents a complete solution of Maxwell's equations, are treated in mathematical detail, with sufficient physical description to elucidate the underlying principles.

Table of Contents:
PREFACE CHAPTER ONE: PHENOMENOLOGICAL THEORIES OF COUPLED MODES Transmission-line Formulation of Imperfect and Nonconventional Waveguides Phenomenological Theory for Microwave Directional Coupler Weak Coupling Theory of Optical Waveguides CHAPTER TWO: SOLUTIONS OF COUPLED MODE EQUATIONS Coupled Mode Equations with Constant Coefficients Weak and Strong Coupling Solutions General Solution of Coupled Mode Equations with Constant Coefficients Method of Slowly Varying Coefficients Generalized Theory of Coupled Local Modes in Multi-wave Guides Mode Conversion in an S-shaped Waveguide Bend Transmitting Circular Electric Wave Solution of Differential Equation with Slowly Varying Coefficients Discrete Coupling Discrete and Continuous Couplings Discontinuity Problems in Coupled Wave Theory Nonideal Waveguide Joints Concept of Impedance Perturbations as Applied to Discrete Coupling CHAPTER THREE: ORTHOGONAL EXPANSIONS IN WAVEGUIDES Modal Analysis of Electromagnetic Field Orthogonal Expansion of Field in Regular Waveguides Hybrid-mode Expansion in Nonconventional Waveguides Expansion in a Curved Waveguide Expansion in an Inhomogeneously-filled Waveguide Expansion in a Symmetrically Tapered Waveguide Expansion in a Waveguide with Arbitrary Non-uniform Cross-section CHAPTER FOUR: COUPLED MODE THEORY AS APPLIED TO MICROWAVE TRANSMISSION Coupled Modes in a Single Waveguide Region Waveguide Bend Waveguide Taper Waveguide Mode-transducer General Theory of Nonconventional Waveguides for Long-distance Transmission The Concept of Impedance Perturbation as Applied to Imperfect Waveguides Coupled Modes in a Composite Region Theory of Coupled Waveguides On Inter-boundary Conditions for Coupled Waveguides Coupled Modes in an Anisotropic Region Plane Wave Propagation in an Infinite Anisotropic Medium Coupled Modes in a Ferrite-filled Waveguide Coupled Mode Theory of Guided Wave Propagation through a Ferrite Rod with Variable Cross-section CHAPTER FIVE: COUPLED MODE THEORY AS APPLIED TO OPTICAL TRANSMISSION Field Expansion in Optical Waveguides Radiation Theory of Optical Waveguides Tolerances of Optical Waveguide Imperfections On Local Normal Modes in Optical Fiber and Film Waveguides Theory of Imperfect and Nonconventional Optical Waveguides Microwave Approach to Optical Waveguides Subject index