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Bloch mode scattering matrix methods for modeling extended photonic crystal structures. II. Applications
T P White1, L C Botten, C Martijn de Sterke
1Centre for Ultrahigh-Bandwidth Devices for Optical Systems (CUDOS) and School of Physics, University of Sydney, Sydney, New South Wales 2006, Australia. twhite@physics.usyd.edu.au
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
Summary
The Bloch mode scattering matrix method efficiently analyzes photonic crystal devices. This approach enables simplified, fast calculations for complex waveguide structures and devices.
Area of Science:
- Photonics and optical engineering
- Computational physics
Background:
- Photonic crystals (PCs) offer unique light manipulation properties.
- Analyzing extended PC devices and waveguides requires efficient computational methods.
Purpose of the Study:
- To apply the Bloch mode scattering matrix method to various photonic crystal waveguide devices.
- To demonstrate its efficiency for extended PC structures and long propagation lengths.
- To derive simplified, semianalytic models for fast calculations.
Main Methods:
- Bloch mode scattering matrix method.
- Analysis of waveguide dislocations, Fabry-Pérot resonators, folded directional couplers, and Y-junctions.
- Development of semianalytic models based on physical insight.
Main Results:
- The Bloch mode scattering matrix method proves efficient for PC waveguide devices.
- Simplified models allow fast and efficient calculations of complex PC structures.
- The method provides valuable physical insight for model derivation.
Conclusions:
- The Bloch mode scattering matrix method is a powerful tool for PC device analysis.
- Semianalytic models derived from this method enhance computational efficiency.
- This approach facilitates the design and understanding of complex photonic integrated circuits.