Binding and Transmission in Wires and Waveguides

Abstract

In this chapter we will review bound state and transmission properties in wires and waveguides. For simplicity, we will restrict ourselves to the study of systems with very simple geometries. Thus, our focus will be on the properties of tubes with two straight external leads connected to one or a series of internal structures or “cells”. A single cell will consist of either a bend, or a rectangular cavity. After the properties of a single cell are reviewed, systems consisting of two identical cells in series will be studied. Despite the great simplicity of the shapes of the structures considered here, it will be shown that the bound state and scattering features observed in these systems display all the phenomena described in Chaps. 2 and 3.