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Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area theorem and energy quantization for dissipative optical solitons.

William H Renninger¹, Andy Chong, Frank W Wise

¹Department of Applied Physics, Cornell University, Ithaca, New York 14853, USA.

Journal of the Optical Society of America. B, Optical Physics

|July 19, 2011

Summary

We derived a new area theorem for dissipative optical solitons, revealing unique energy properties and quantization effects. This finding explains multiple-pulse solutions in fiber lasers.

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Area of Science:

Nonlinear optics
Fiber laser physics

Background:

Soliton area theorems relate pulse energy to shape and system parameters.
Existing theorems apply to conservative systems.

Purpose of the Study:

Derive an area theorem for dissipative optical solitons.
Investigate energy scaling and limits for these solitons.
Explain conditions for multiple-pulse solutions.

Main Methods:

Analytical solution of the cubic-quintic Ginzburg-Landau equation.
Derivation of a novel area theorem.
Numerical simulations.
Experimental validation in dissipative soliton fiber lasers.

Main Results:

Dissipative soliton energy does not scale inversely with pulse duration.
An upper limit exists for dissipative soliton energy.
Energy quantization explains multiple-pulse solutions.

Conclusions:

The derived area theorem accurately describes dissipative optical solitons.
Theoretical predictions are validated by simulations and experiments.
This work advances understanding of soliton dynamics in dissipative systems.