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American Journal of Physics -- February 2001 -- Volume 69, Issue 2, pp. 137

Waves in locally periodic media

David J. Griffiths and Carl A. Steinke

Physics Department, Reed College, Portland, Oregon 97202

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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. © 2001 American Association of Physics Teachers.

© 2001 American Association of Physics Teachers

KEYWORDS and PACS

Keywords

waves, wave propagation, wave functions, teaching, acoustic waves

PACS

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History
Received Jan 2000
Accepted Jun 2000

PUBLICATION DATA

ISSN:

0002-9505 (print)  

Publisher:

$abstract.society.value is a Member of CrossRef American Association of Physics Teachers

ARTICLE DATA

Permalink
http://dx.doi.org/10.1119/1.1308266

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