Wave Propagation in One Dimension: Methods and Applications to Complex and Fractal Structures

摘要

This chapter is a pedagogical review of methods and results for studying wavepropagation in one-dimensional complex structures. We describe and compare thetight-binding, scattering matrix, transfer matrix and Riccati formalisms. Wepresent examples for transport through finite-sized layered dielectric systemswith periodic, quasi-periodic, fractal, disordered, and random structure,illustrating how can spatial structure affect the spectrum of modes as well asthe local mode intensity.