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

L. C. Botten, T. P. White, A. A. Asatryan, T. N. Langtry, C. Martijn de Sterke, and R. C. McPhedran

Phys. Rev. E 70, 056606 – Published 15 November 2004

Abstract

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.

Received 8 April 2004

DOI:https://doi.org/10.1103/PhysRevE.70.056606

Authors & Affiliations

L. C. Botten^1,*, T. P. White², A. A. Asatryan¹, T. N. Langtry¹, C. Martijn de Sterke², and R. C. McPhedran²

¹Centre for Ultrahigh-Bandwidth Devices for Optical Systems (CUDOS) and Department of Mathematical Sciences, University of Technology, Sydney, Broadway New South Wales 2007, Australia
²Centre for Ultrahigh-Bandwidth Devices for Optical Systems (CUDOS) and School of Physics, University of Sydney, Sydney, New South Wales 2006, Australia

^*Electronic address: Lindsay.Botten@uts.edu.au

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 70, Iss. 5 — November 2004

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review E

covering statistical, nonlinear, biological, and soft matter physics