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

Matthias Ehrhardt, Houde Han & Chunxiong Zheng

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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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@Article{CiCP-5-849, author = {}, 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 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 & Chunxiong Zheng. (2020). Numerical Simulation of Waves in Periodic Structures. Communications in Computational Physics. 5 (5). 849-870. doi:
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