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Updated: Jul 8, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Equal-frequency surface analysis of two-dimensional photonic crystals.
1School of Electrical and Electronical Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798.
This study introduces an analytical method for analyzing equal-frequency surfaces in 2D photonic crystals. The approach provides insights into photonic crystal band structures, especially for varying dielectric modulations.
Area of Science:
- Photonics
- Solid-state physics
- Materials science
Background:
- Photonic crystals offer unique light manipulation properties.
- Understanding their band structure is crucial for device applications.
- Equal-frequency surfaces (EFS) are key to characterizing photonic crystal behavior.
Purpose of the Study:
- To develop an analytical method for EFS analysis in 2D photonic crystals.
- To provide expressions for EFS based on plane wave approximations.
- To assess the applicability of the method for different dielectric modulations.
Main Methods:
- Definition of EFS using plane waves.
- Numerical evaluation of EFS.
- Development of one- and two-plane-wave approximations for analytical EFS expressions.
Main Results:
- Analytical expressions for EFS were derived.
- The method is suitable for photonic crystals with weak dielectric modulation.
- The approach offers a general understanding of band shapes for large modulations.
Conclusions:
- The presented analytical treatment offers an efficient way to analyze EFS in 2D photonic crystals.
- This method facilitates the design and understanding of photonic crystal devices.
- The study contributes to the theoretical framework of photonic crystal research.
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