Solitons in fibers with loss beyond small perturbation

Solitons in fibers with loss beyond small perturbation We consider the evolution of fiber-optic solitons in the presence of loss. Localized power reduction can be cast into a well-known form for which changes of all parameters are known explicitly. We proceed to a sequence of such perturbations with the same total loss, so that still all parameters are known, and eventually take the limit to infinitely many steps. This establishes the connection with distributed loss, and in the limit of vanishing loss reproduces the known results from perturbation theory. Outside this adiabatic limit the mechanism becomes clear that causes deviations: interference between solitons and radiation upsets the balance of dispersive and nonlinear effects characteristic of solitons; as one consequence the soliton continually sheds energy, which goes into radiation. We derive an expression for the radiation production rate in a lossy fiber, and predict quantitatively the distance until the soliton finally decays. Our approach provides quantitative results for fibers with loss small or strong, localized or distributed, and numerical results confirm predictions. It can be generalized to gain rather than loss. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Solitons in fibers with loss beyond small perturbation

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Solitons in fibers with loss beyond small perturbation

Abstract

We consider the evolution of fiber-optic solitons in the presence of loss. Localized power reduction can be cast into a well-known form for which changes of all parameters are known explicitly. We proceed to a sequence of such perturbations with the same total loss, so that still all parameters are known, and eventually take the limit to infinitely many steps. This establishes the connection with distributed loss, and in the limit of vanishing loss reproduces the known results from perturbation theory. Outside this adiabatic limit the mechanism becomes clear that causes deviations: interference between solitons and radiation upsets the balance of dispersive and nonlinear effects characteristic of solitons; as one consequence the soliton continually sheds energy, which goes into radiation. We derive an expression for the radiation production rate in a lossy fiber, and predict quantitatively the distance until the soliton finally decays. Our approach provides quantitative results for fibers with loss small or strong, localized or distributed, and numerical results confirm predictions. It can be generalized to gain rather than loss.
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1050-2947
eISSN
1094-1622
D.O.I.
10.1103/PhysRevA.96.013826
Publisher site
See Article on Publisher Site

Abstract

We consider the evolution of fiber-optic solitons in the presence of loss. Localized power reduction can be cast into a well-known form for which changes of all parameters are known explicitly. We proceed to a sequence of such perturbations with the same total loss, so that still all parameters are known, and eventually take the limit to infinitely many steps. This establishes the connection with distributed loss, and in the limit of vanishing loss reproduces the known results from perturbation theory. Outside this adiabatic limit the mechanism becomes clear that causes deviations: interference between solitons and radiation upsets the balance of dispersive and nonlinear effects characteristic of solitons; as one consequence the soliton continually sheds energy, which goes into radiation. We derive an expression for the radiation production rate in a lossy fiber, and predict quantitatively the distance until the soliton finally decays. Our approach provides quantitative results for fibers with loss small or strong, localized or distributed, and numerical results confirm predictions. It can be generalized to gain rather than loss.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Jul 13, 2017

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