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Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

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Mode scalability in bent optical fibers.

Ross T Schermer

|June 25, 2009

Summary

This study presents a new analytical method to predict the behavior of bent optical fibers and waveguides. A universal scaling parameter simplifies generalizing mode field distributions across various waveguide designs.

Area of Science:

Optical Engineering
Photonics
Waveguide Physics

Background:

Bent optical fibers and waveguides exhibit complex mode behavior.
Generalizing these behaviors across different geometries and parameters is challenging.
Existing methods often rely on computationally intensive numerical simulations.

Purpose of the Study:

To introduce a simple, analytical method for generalizing the behavior of bent, weakly-guided fibers and waveguides.
To develop a universal scaling parameter for bent waveguides analogous to the V-number for straight fibers.
To derive analytical formulas for propagation constant and mode area in bent step-index fibers.

Main Methods:

Comprehensive study of modes in bent step-index fibers.
Extension of analysis to various waveguide geometries.

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Introduction of a bend radius scaling parameter for generalization.

Application to derive analytical formulas for bent step-index fibers.

Main Results:

A scaling parameter is introduced, allowing identical mode field distributions for waveguides with constant parameter values, differing only in size.
Simple analytical formulas for propagation constant and mode area are derived for bent step-index fibers.
The method is valid beyond the transition to whispering-gallery modes.
Animations of mode deformation and curves of polarization decoupling are presented.

Conclusions:

The developed analytical method provides a powerful tool for generalizing the behavior of bent optical waveguides.
The scaling parameter simplifies the analysis and prediction of mode propagation in diverse bent waveguide structures.
This approach facilitates broader application of simulation results and aids in the design of optical devices with bent waveguides.