Wave propagation in one-dimension: Methods and applications to complex and fractal structures
Optics
2012-11-02 v2
Abstract
This chapter is a pedagogical review of methods and results for studying wave propagation in one-dimensional complex structures. We describe and compare the tight-binding, scattering matrix, transfer matrix and Riccati formalisms. We present examples for transport through finite-sized layered dielectric systems with periodic, quasi-periodic, fractal, disordered, and random structure, illustrating how can spatial structure affect the spectrum of modes as well as the local mode intensity.
Cite
@article{arxiv.1210.7409,
title = {Wave propagation in one-dimension: Methods and applications to complex and fractal structures},
author = {Eric Akkermans and Gerald Dunne and Eli Levy},
journal= {arXiv preprint arXiv:1210.7409},
year = {2012}
}
Comments
Part of an upcoming book on aperiodic structures