一维波的传播：复杂和分形结构的方法和应用
Wave propagation in one-dimension: Methods and applications to complex and fractal structures
摘要：
本章是一个教学方法和研究一维复杂结构中的波传播的结果审查。我们描述和比较紧束缚，散射矩阵，转移矩阵和Riccati形式主义。我们提出的例子，通过有限大小的层状介质系统的周期性，准周期性，分形，无序和随机结构的运输，说明空间结构如何影响模式的频谱以及本地模式的强度。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
