Rigorous sufficient conditions for index-guided modes in microstructured dielectric waveguides

被引：7

作者：

Lee, Karen K. Y. ^{[1
]}

Avniel, Yehuda ^{[1
]}

Johnson, Steven G. ^{[1
]}

机构：

[1] MIT, Elect Res Lab, Cambridge, MA 02139 USA

来源：

OPTICS EXPRESS | 2008年 / 16卷 / 13期

关键词：

D O I：

10.1364/OE.16.009261

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We derive a sufficient condition for the existence of index-guided modes in a very general class of dielectric waveguides, including photonic-crystal fibers (arbitrary periodic claddings, such as "holey fibers"), anisotropic materials, and waveguides with periodicity along the propagation direction. This condition provides a rigorous guarantee of cutoff-free index-guided modes in any such structure where the core is formed by increasing the index of refraction (e. g. removing a hole). It also provides a weaker guarantee of guidance in cases where the refractive index is increased "on average" (precisely defined). The proof is based on a simple variational method, inspired by analogous proofs of localization for two-dimensional attractive potentials in quantum mechanics. (C) 2008 Optical Society of America.

引用

页码：9261 / 9275

页数：15

共 40 条

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