@Article{CiCP-5-849,
author = {Matthias Ehrhardt, Houde Han and Chunxiong Zheng},
title = {Numerical Simulation of Waves in Periodic Structures},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {5},
pages = {849--870},
abstract = {<p style="text-align: justify;">In this work we improve and extend a technique named <em>recursive doubling procedure</em> 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 Schrödinger equation in both one and two dimensions, when the periodic potential functions have some local defects.&nbsp;</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7767.html}
}