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Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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Discrete solitons in coupled active lasing cavities.

Jaroslaw E Prilepsky¹, Alexey V Yulin, Magnus Johansson

¹Nonlinearity and Complexity Research Group, Aston University, Aston Triangle, Birmingham B4 7ET, UK. y.prylepskiy1@aston.ac.uk

|November 21, 2012

Summary

Researchers discovered stable bright and gray cavity solitons in coupled nonlinear lasing cavities. These localized structures are controllable via discrete diffraction, offering new insights into nonlinear optics.

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Area of Science:

Nonlinear optics
Condensed matter physics
Photonics

Background:

Coupled nonlinear lasing cavities exhibit complex optical phenomena.
Localized structures, or solitons, are crucial in understanding light propagation.
Active media introduce gain and damping, influencing soliton dynamics.

Purpose of the Study:

To investigate the existence and stability of discrete spatial solitons.
To analyze solitons in active defocusing nonlinear lasing cavities.
To identify conditions for stable soliton formation and control.

Main Methods:

Theoretical analysis of coupled nonlinear waveguide resonators.
Numerical simulations to confirm soliton existence and stability.
Examination of the role of discrete diffraction and bistability.

Main Results:

A new family of stable bright and gray cavity solitons was identified.
These solitons bridge homogeneous and inhomogeneous states.
Soliton stability is achieved in the absence of homogeneous state bistability.

Conclusions:

Stable discrete spatial solitons exist in active defocusing nonlinear lasing cavities.
Discrete diffraction offers a control mechanism for these cavity solitons.
The absence of bistability is key for the stability of these novel soliton structures.