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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Published on: August 12, 2013

Spatial mode-locking of light bullets in planar waveguide arrays.

Matthew O Williams¹, J Nathan Kutz

¹Department of Applied Mathematics, University of Washington, Seattle, WA 98195-2420, USA. mowill@amath.washington.edu

|November 13, 2009

Summary

This study proposes spatial mode-locking in slab waveguides to generate light-bullets. The model demonstrates stable 3D localized states and controllable single-to-multi-pulse transitions in waveguide arrays.

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Area of Science:

Optics and Photonics
Nonlinear Dynamics
Condensed Matter Physics

Background:

Mode-locking is crucial for generating ultrashort pulses in lasers.
Waveguide arrays offer a platform for controlling light propagation.
Localized states in nonlinear systems exhibit unique properties.

Purpose of the Study:

To theoretically propose spatial mode-locking in planar waveguide arrays.
To extend time-domain mode-locking concepts to spatial mode-locking in slab waveguides.
To investigate the generation of three-dimensional (3D) localized states (light-bullets).

Main Methods:

Development of a theoretical model for light-bullet generation.
Analysis of spatial (transverse) mode-locking in slab waveguides.
Numerical simulations to observe system dynamics and solution stability.

Main Results:

The model yields 3D localized states acting as global attractors.
Stable single-pulse stationary and time-periodic solutions were observed.
The transition to multi-pulse solutions was stabilized by controlling gain.

Conclusions:

Spatial mode-locking in waveguide arrays can generate stable light-bullets.
The proposed system exhibits controllable dynamics, including pulse formation.
This work provides a theoretical foundation for novel optical devices.