Volume 5, Issue 5
Numerical Simulation of Waves in Periodic Structures

Matthias Ehrhardt ,  Houde Han and Chunxiong Zheng

Commun. Comput. Phys., 5 (2009), pp. 849-870.

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  • Abstract

In this work we improve and extend a technique named recursive doubling procedure developed by Yuan and Lu [J. Lightwave Technology 25 (2007), 3649-3656] for solving periodic array problems. It turns out that when the periodic array contains an infinite number of periodic cells, our method gives a fast evaluation of the exact boundary Robin-to-Robin mapping if the wave number is complex, or real but in the stop bands. This technique is also used to solve the time-dependent Schro¨dinger equation in both one and two dimensions, when the periodic potential functions have some local defects. 

  • History

Published online: 2009-05

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