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Updated: May 2, 2026
11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
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Coupled-mode formulation of two-parallel photonic-crystal waveguides
Kiyotoshi Yasumoto1, Vakhtang Jandieri, Yunfei Liu
1College of Information Science and Technology, Nanjing Forestry University, Nanjing 210037, China. kyasumoto@iwk.bbiq.jp
Summary
A new coupled-mode formulation accurately models coupled photonic-crystal waveguides (PCWs). This method simplifies analysis of light propagation in complex photonic crystal structures.
Area of Science:
- Photonics
- Condensed Matter Physics
- Optical Engineering
Background:
- Photonic-crystal waveguides (PCWs) are crucial for integrated optics.
- Analyzing coupled PCWs requires robust theoretical frameworks.
- Existing methods may lack efficiency for complex coupled systems.
Purpose of the Study:
- To develop a self-contained coupled-mode formulation for 2D PCWs.
- To systematically derive first-order coupled-mode equations for PCWs.
- To analyze coupled symmetric PCWs using the derived formulation.
Main Methods:
- Perturbation theory applied to coupled 2D PCWs.
- Derivation of first-order coupled-mode equations.
- Analysis of coupled symmetric PCWs with dielectric rods or air holes.
Main Results:
- A systematic derivation of coupled-mode equations for PCWs.
- The formulation accurately describes the modal amplitude evolution.
- Results show good agreement with rigorous direct analysis.
Conclusions:
- The developed coupled-mode formulation provides an efficient tool for analyzing coupled PCWs.
- This approach simplifies the study of light propagation in photonic crystal devices.
- The findings are validated against direct numerical simulations.
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