Photonic lattices

被引：2
作者：
Schechter, Martin [1 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 06期
关键词：
D O I：
10.1063/1.4807408
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use critical point theory to find periodic solutions of the nonlinear steady state Schrodinger equations arising in the study of photonic lattices. We show that nontrivial solutions exist for wide ranges of the parameters. It follows that there is a large continuous energy or wavenumber spectrum that allows the existence of steady state solutions. Our results hold in arbitrary dimensions. (C) 2013 AIP Publishing LLC.
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页数：7
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