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Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

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Published on: February 28, 2016

Nonlinear localized modes in two-dimensional electrical lattices.

L Q English¹, F Palmero, J F Stormes

¹Department of Physics and Astronomy, Dickinson College, Carlisle, Pennsylvania 17013, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 17, 2013

Summary

This summary is machine-generated.

Researchers observed spontaneous energy localization in 2D nonlinear electrical lattices, creating stable stationary and moving discrete breathers (intrinsic localized modes). These findings in small lattices extend to larger systems.

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Area of Science:

Nonlinear dynamics
Condensed matter physics
Electrical engineering

Background:

Nonlinear electrical lattices exhibit complex wave phenomena.
Discrete breathers, or intrinsic localized modes (ILMs), are localized energy states in discrete nonlinear systems.
Understanding energy localization is crucial for designing advanced electronic and photonic devices.

Purpose of the Study:

To experimentally and theoretically investigate spontaneous energy localization in 2D nonlinear electrical lattices.
To generate and characterize both stationary and moving self-localized modes (discrete breathers).
To explore the dynamics of multiple interacting ILMs in these lattices.

Main Methods:

Fabrication and characterization of 6x6 2D square and honeycomb nonlinear electrical lattices.
Experimental control of driver voltage and frequency to induce and stabilize discrete breathers.
Theoretical modeling and numerical simulations to validate experimental observations.
Modification of unit cells with additional capacitors to induce mobile discrete breathers.

Main Results:

Observation of stable stationary discrete breathers (ILMs) in specific driver voltage and frequency regimes.
Successful generation of mobile discrete breathers by modifying lattice structure.
Experimental evidence of complex dynamics between multiple ILMs, including self-repulsion.
Numerical simulations confirmed good agreement with experimental findings and scalability to larger lattices.

Conclusions:

Spontaneous energy localization is achievable in 2D nonlinear electrical lattices.
Stationary and mobile discrete breathers can be controllably generated and manipulated.
Interactions between ILMs lead to complex emergent behaviors, such as maintaining minimum separation.
The observed phenomena are robust and applicable to larger lattice systems.