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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

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Mode dispersion in diffused channel waveguides by the effective index method.

G B Hocker, W K Burns

|February 20, 2010

Summary

This summary is machine-generated.

The effective index method accurately calculates optical waveguide mode dispersion for various structures. This method provides precise results for uniform rectangular and channel waveguides, including those with diffusion effects.

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Area of Science:

Optics and Photonics
Materials Science

Background:

Waveguide mode dispersion is crucial for optical communication systems.
Accurate calculation methods are needed for designing efficient optical waveguides.

Purpose of the Study:

To review and apply the effective index method for calculating waveguide mode dispersion.
To assess its accuracy compared to other techniques.
To extend its application to channel waveguides with diffusion.

Main Methods:

Review of the effective index method.
Application to uniform rectangular optical waveguides with varying index differences.
Extension to 1-D and 2-D diffusion in channel waveguides.
Utilizing normalized notation and universal dispersion curves.

Main Results:

The effective index method demonstrates accuracy comparable to existing approximate techniques.
It effectively describes channel waveguides without sideways diffusion.
A new normalized 1-D universal chart is developed for isotropically diffused 2-D channels.

Conclusions:

The effective index method is a versatile and accurate tool for waveguide mode dispersion analysis.
It provides a comprehensive framework for understanding dispersion in both simple and complex waveguide structures.
The developed chart aids in the design and analysis of diffused channel waveguides.