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Waves in locally periodic media

American Journal of Physics -- February 2001 -- Volume 69, Issue 2, pp. 137-154

Issue Date: February 2001
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KEYWORDS and PACS

Keywords
PACS
  • 01.50.-i
    Communication, education, history, and philosophy Educational aids
  • 03.75.-b
    Quantum mechanics, field theories, and special relativity Matter waves
  • 47.35.+i
    Fluid dynamics Hydrodynamic waves
  • YEAR: 2001

PUBLICATION DATA

ISSN:
0002-9505 (print)  
Publisher:
AIP is a member of CrossRef AAPT
David J. Griffiths and Carl A. Steinke
Physics Department, Reed College, Portland, Oregon 97202
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.
History: Received 18 January 2000; accepted 7 June 2000
Permalink: http://dx.doi.org/10.1119/1.1308266

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