Lectures on Theory of Microwave and Optical Waveguides

TL;DR

This paper provides a comprehensive mathematical overview of microwave and optical waveguides, covering fundamental theory, various types, coupling mechanisms, and soliton concepts, aimed at graduate students in electromagnetic theory.

Contribution

It offers an organized lecture-based synthesis of waveguide theory, including optical fibers and microwave circuits, with introductory soliton discussions, filling a gap in educational resources.

Findings

Detailed mathematical framework for waveguides

Analysis of coupling and discontinuities

Introduction to soliton concepts in waveguides

Abstract

The lecture notes document the mathematical theory of microwave and optical waveguides. We start with reviewing preliminary background from Maxwell's equations. Then we discuss hollow waveguides, and inhomogeneously-filled waveguides, coupling of waveguides and cavities, discontinuities in waveguides. We will also cover optical waveguides such as optical fibers, as well as microwave integrated circuits. We end by discussing introductory soliton concepts. It is intended for graduate students who have had a first course in graduate electromagnetic theory.