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

Matthias Ehrhardt, Houde Han & Chunxiong Zheng

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

Published online: 2009-05

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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 Schrödinger equation in both one and two dimensions, when the periodic potential functions have some local defects. 

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COPYRIGHT: © Global Science Press

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@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 = {

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 Schrödinger equation in both one and two dimensions, when the periodic potential functions have some local defects. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7767.html} }
TY - JOUR T1 - Numerical Simulation of Waves in Periodic Structures AU - Matthias Ehrhardt, Houde Han & Chunxiong Zheng JO - Communications in Computational Physics VL - 5 SP - 849 EP - 870 PY - 2009 DA - 2009/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7767.html KW - AB -

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 Schrödinger equation in both one and two dimensions, when the periodic potential functions have some local defects. 

Matthias Ehrhardt, Houde Han and Chunxiong Zheng. (2009). Numerical Simulation of Waves in Periodic Structures. Communications in Computational Physics. 5 (5). 849-870. doi:
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