Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1856831 | Annals of Physics | 2010 | 11 Pages |
Abstract
Analytical expressions on how the eigenvalue of an existing surface state/mode in one-dimensional semi-infinite periodic systems depends on the boundary location and the boundary condition are obtained, by using a Sturm-Liouville theory approach. The obtained equations are verified by numerical calculations. A direct consequence of the results obtained is that the termination of the periodicity at a boundary Ï in a semi-infinite periodic system does not always cause a surface state/mode in a specific band gap.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Shang Yuan Ren, Yia-Chung Chang,