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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
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Calculation, normalization, and perturbation of quasinormal modes in coupled cavity-waveguide systems
Optics Letters
|December 10, 2014
Summary
We present a new numerical method for calculating quasinormal modes in coupled optical cavities and waveguides. This approach enables accurate modeling of optical phenomena and resonance frequencies in photonic crystal systems.
Area of Science:
- Photonics and optical engineering
- Computational physics
- Waveguide theory
Background:
- Quasinormal modes (QNMs) are crucial for understanding light-matter interactions in resonant optical systems.
- Standard methods struggle with accurately calculating QNMs in complex coupled cavity-waveguide systems.
- A robust numerical framework is needed for modeling optical phenomena in these structures.
Purpose of the Study:
- To introduce a nonlocal boundary condition compatible with frequency domain methods for QNM calculations.
- To extend the definition of the QNM norm using divergent series theory for enhanced modeling.
- To provide a framework for analyzing optical phenomena in coupled cavity-waveguide systems.
Main Methods:
- Implementation of a nonlocal boundary condition within standard frequency domain techniques.
- Extension of the quasinormal mode norm definition using the theory of divergent series.
- Application to photonic crystal cavities coupled to defect waveguides.
Main Results:
- Successful numerical calculation of quasinormal modes in coupled optical cavities and waveguides.
- Development of a generalized framework for modeling optical phenomena in such systems.
- Calculation of the Purcell factor and analysis of resonance frequency shifts.
Conclusions:
- The nonlocal boundary condition offers a compatible and efficient method for QNM calculations.
- The extended QNM norm provides a powerful tool for modeling coupled optical systems.
- This work facilitates the design and analysis of advanced photonic devices.
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