Waves in locally periodic media

被引：193

作者：

Griffiths, DJ ^{[1
]}

Steinke, CA ^{[1
]}

机构：

[1] Reed Coll, Dept Phys, Portland, OR 97202 USA

来源：

AMERICAN JOURNAL OF PHYSICS | 2001年 / 69卷 / 02期

关键词：

D O I：

10.1119/1.1308266

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We review the theory of wave propagation in one dimension through a medium consisting of N identical "cells." Surprisingly, exact closed-form results can be obtained for arbitrary N. Examples include the vibration of weighted strings, the acoustics of corrugated tubes, the optics of photonic crystals, and, of course, electron wave functions in the quantum theory of solids. As N increases, the band structure characteristic of waves in infinite periodic media emerges. (C) 2001 American Association of Physics teachers.

引用

页码：137 / 154

页数：18