Preface
My objective in writing this book is twofold. The first objective is to build up a firm and rigorous mathematical framework, namely a mode-matching approach and transmission-line network representation, for analyzing the typical problem of wave processes involved in periodic structures ranging from the one-dimensional to the three-dimensional. The second objective is to allow the reader to understand that most of the interesting phenomena occurring in contemporary periodic structures can be clarified using existing classical electromagnetism, such as coupled-mode theory, phase-matching condition, and so on. I believe that some people will question the mode-matching method in handling periodic structures in regard to two disadvantages: the slow convergence rate for metallic structures and the infinite structure under consideration. I confess that how to solve the electromagnetic fields in a finite periodic structure is not my major concern in this book; after all, there are many well-developed commercial software packages available nowadays based on several numerical methods (e.g., the finite-difference time (frequency) domain, the finite-element method, the integral equation with moment method, the finite-integration method) for dealing with real-world electromagnetic problems in the microwave and optical communities. As to the convergence problem, the modal transmission-line approach to be elucidated in this book can tackle the task. The mode-matching method has its own ...
