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Generalized transverse Bragg waveguides.

D Burckel, S Brueck

|June 9, 2009

Summary

This summary is machine-generated.

This study introduces generalized transverse Bragg waveguides (GTBW) with unique modal properties due to broken symmetry. These novel optical waveguides offer new possibilities for guided-mode behavior and device applications.

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Area of Science:

Optics and Photonics
Waveguide Theory
Materials Science

Background:

Traditional Bragg waveguides exhibit inversion symmetry, leading to separable modal components.
Generalized transverse Bragg waveguides (GTBW) lack this symmetry, altering modal behavior.
Understanding these altered modes is crucial for advanced photonic device design.

Purpose of the Study:

To present a coupled-mode analysis of 2-D GTBW with tilted distributed Bragg reflectors.
To investigate the unique modal characteristics arising from the absence of inversion symmetry.
To derive expressions for optical field distribution, velocity, and dispersion relations.

Main Methods:

Coupled-mode analysis.
Mathematical derivation of modal properties.
Theoretical modeling of optical field behavior in GTBW.

Main Results:

Modes in GTBW are not separable into simple transverse standing and longitudinal traveling waves.
New guided-mode behavior is predicted due to broken inversion symmetry.
Expressions for optical field, phase/group velocity, and dispersion relations are derived.

Conclusions:

The broken symmetry in GTBW leads to fundamentally different modal descriptions.
These unique modal properties offer potential for novel photonic applications.
The derived expressions provide a basis for designing and utilizing GTBW devices.