ABSTRACT
This chapter is a pedagogical review of methods and results
for studying wave propagation in one-dimensional (1D), complex
structures. We describe and compare the tight-binding, scattering
matrix (S-matrix), transfer matrix, and Riccati formalisms. We present examples for transport through finite-sized, layered dielec-
tric systems with periodic, quasi-periodic, fractal, disordered, and
random structures, illustrating how a spatial structure can affect the
spectrum of modes as well as the local mode intensity.
