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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

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Coupled waveguide modes in hexagonal photonic crystals.

J Scott Brownless¹, Sahand Mahmoodian, Kokou B Dossou

¹IPOS and CUDOS, School of Physics, University of Sydney, 2006, Australia. jbro@physics.usyd.edu.au

|December 18, 2010

Summary

This summary is machine-generated.

Coupled waveguide modes in hexagonal photonic crystals show multiple dispersion relation intersections. This phenomenon is explained through intuitive and tight-binding analyses for photonic crystal applications.

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Area of Science:

Photonics
Condensed Matter Physics
Materials Science

Background:

Photonic crystals offer unique light manipulation properties.
Waveguide modes are crucial for integrated photonic devices.
Understanding mode coupling is essential for device design.

Purpose of the Study:

To investigate the behavior of coupled waveguide modes within a hexagonal photonic crystal structure.
To analyze the dispersion relations of these coupled modes.
To provide both intuitive and rigorous explanations for observed phenomena.

Main Methods:

Numerical simulations of coupled waveguides in a hexagonal photonic crystal.
Analysis of mode dispersion relations.
Application of tight-binding theory for analytical explanation.

Main Results:

Identified multiple intersections in the dispersion relations of coupled waveguide modes over a significant parameter range.
Developed an intuitive understanding of the mode coupling mechanism.
Validated findings with a rigorous tight-binding model.

Conclusions:

Hexagonal photonic crystals support complex coupled waveguide mode behaviors.
The observed dispersion intersections have implications for photonic device design and functionality.
Both intuitive and theoretical approaches are valuable for understanding photonic crystal phenomena.