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Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing

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Linear and nonlinear waves in surface and wedge index potentials.

Nikolaos K Efremidis¹, Dimitrios G Papazoglou, Stelios Tzortzakis

¹Department of Applied Mathematics, University of Crete, 71409, Heraklion, Crete, Greece. nefrem@tem.uoc.gr

|June 5, 2012

Summary

This study explores optical beams in materials with specific potentials. Researchers discovered new nonlinear wave solutions with finite power, crucial for optical technologies.

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Area of Science:

Nonlinear optics
Wave propagation in structured media

Background:

Optical beams can be guided by specific refractive index profiles.
Airy functions describe beam behavior in linear optical systems.

Purpose of the Study:

To investigate optical beam propagation in media with linear and piecewise linear potentials.
To identify and analyze nonlinear optical beam solutions.
To assess the stability of these nonlinear solutions under different nonlinearity types.

Main Methods:

Analysis of optical beam modes in linear and nonlinear regimes.
Bifurcation analysis to find new solutions from linear modes.
Stability analysis for Kerr nonlinearity (self-focusing and self-defocusing).

Main Results:

Identified families of nonlinear optical beam solutions.
Demonstrated that these nonlinear waves possess finite total power.
Confirmed stability of solutions for both self-focusing and self-defocusing nonlinearities.

Conclusions:

New nonlinear optical beam solutions were found in structured media.
These solutions offer potential for novel optical device applications.
The finite power characteristic simplifies their practical implementation.