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Kronig-Penney model for periodically segmented waveguides.

|November 25, 2010

Summary

This study uses the Kronig-Penney model to analyze periodically segmented waveguides, revealing insights into effective refractive index and optical loss. The model explains electric field profiles and loss reduction at varying duty cycles.

Area of Science:

Optics and Photonics
Condensed Matter Physics

Background:

Periodically segmented waveguides are crucial optical components.
Understanding their propagation characteristics is essential for device design.

Purpose of the Study:

To provide physical insight into the propagation characteristics of periodically segmented waveguides.
To utilize a formal analogy with the Kronig-Penney model for analysis.

Main Methods:

Modeling the waveguide's guiding layer as an idealized infinite medium with periodic layers.
Applying the Kronig-Penney model, typically used for electron wave functions in crystals.

Main Results:

The model accurately predicts the effective refractive index of the waveguide layer.

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It provides insights into electric field profiles across the dispersion curve.

Qualitative explanations for optical loss reduction at large and small duty cycles were derived.

Conclusions:

The Kronig-Penney model offers a valuable framework for understanding periodically segmented waveguides.
This approach yields significant physical insights into optical loss and field distribution.