Bloch mode scattering matrix methods for modeling extended photonic crystal structures. I. Theory

被引：66

作者：

Botten, LC ^{[1
]}

White, TP

Asatryan, AA

Langtry, TN

de Sterke, CM

McPhedran, RC

机构：

[1] Univ Technol Sydney, Ctr Ultrahigh Bandwidth Devices Opt Syst, Broadway, NSW 2007, Australia

[2] Univ Technol Sydney, Dept Math Sci, Broadway, NSW 2007, Australia

[3] Univ Sydney, Ctr Ultrahigh Bandwidth Devices Opt Syst, Sydney, NSW 2006, Australia

[4] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia

来源：

PHYSICAL REVIEW E | 2004年 / 70卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.70.056606

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present a rigorous Bloch mode scattering matrix method for modeling two-dimensional photonic crystal structures and discuss the formal properties of the formulation. Reciprocity and energy conservation considerations lead to modal orthogonality relations and normalization. both of which are required for mode calculations in inhomogeneous media. Relations are derived for studying the propagation of Bloch modes through photonic crystal structures, and for the reflection and transmission of these modes at interfaces with other photonic crystal structures.

引用

页数：13

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