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Comprehensive analytical model to characterize randomness in optical waveguides.

Junhe Zhou, Philippe Gallion

|May 4, 2016

Summary

This summary is machine-generated.

This study uses coupled mode theory (CMT) to develop stochastic differential equations (SDEs) for optical waveguides. The derived ordinary differential equations (ODEs) simplify analysis of modal power statistics, agreeing with Marcuse

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Area of Science:

Photonics and Optical Engineering
Waveguide Optics
Statistical Optics

Background:

Optical waveguides are crucial for signal transmission.
Random refractive index variations cause signal degradation.
Analyzing modal power statistics is essential for performance prediction.

Purpose of the Study:

To derive stochastic differential equations (SDEs) for modal amplitude evolution in optical waveguides with random refractive index variations.
To develop ordinary differential equations (ODEs) for analyzing modal power statistics.
To extend the analysis beyond existing coupled power models.

Main Methods:

Coupled Mode Theory (CMT) to derive SDEs.
Derivation of ODEs from SDEs for statistical analysis.
Analytical solutions for power evolution ODEs.
Monte-Carlo simulations for model validation.

Main Results:

Analytical ODEs for modal power statistics derived from CMT.
Excellent agreement between derived ODEs and Marcuse' coupled power model.
Analysis of higher-order statistics like power variations and correlation coefficients.
Validation of the analytical model through Monte-Carlo simulations.

Conclusions:

The derived ODEs offer a simplified analytical approach to modal power statistics in optical waveguides.
The model accurately predicts power evolution and provides insights into higher-order statistics.
This work enhances the understanding and design of optical waveguides with random imperfections.