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Updated: Jun 13, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
Efficient computation of photonic crystal waveguide modes with dispersive material
Kersten Schmidt1, Roman Kappeler
1Hausdorff Center for Mathematics, University of Bonn, 53115 Bonn, Germany. kersten.schmidt@inria.fr
We developed an efficient method for designing photonic crystal (PhC) waveguides by using higher-order finite elements. This approach accurately accounts for material dispersiveness, speeding up computations for PhC devices.
Area of Science:
- Photonics
- Computational Electromagnetics
- Materials Science
Background:
- Photonic crystal (PhC) waveguide optimization is crucial for designing PhC devices.
- Current design methods are computationally expensive, especially for dispersive materials.
Purpose of the Study:
- To present an efficient computational method for optimizing PhC waveguides.
- To directly incorporate material dispersiveness into the band structure calculation.
Main Methods:
- Utilized higher-order finite elements with curved cells.
- Reformulated wave equations into a linear eigenproblem in complex wave-vectors (k).
Main Results:
- Demonstrated high efficiency in computing guided PhC waveguide modes.
- Convergence analysis confirmed the method's effectiveness.
Conclusions:
- The proposed higher-order finite element method offers an efficient solution for PhC waveguide design.
- This method accurately handles material dispersiveness, improving computational speed and reliability.
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