Optimal control problem for nonlinear optical communications systems

We consider an optimal internal control problem for the cubic nonlinear Schrödinger (NLS) equation on the line. We prove well-posedness of the problem and existence of an optimal control. In addition, we show first order optimality conditions and numerical simulations. •Optimal control in optical co...

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Bibliographic Details
Published in:Journal of Differential Equations 2023-02, Vol.346, p.347-375
Main Authors: Fernández de la Vega, Constanza S., Moore, Richard, Prieto, Mariana Inés, Rial, Diego
Format: Article
Language:English
Subjects:
Noise immunity
Nonlinear Schrödinger equation
Optical fibers
Optimal control
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Summary:We consider an optimal internal control problem for the cubic nonlinear Schrödinger (NLS) equation on the line. We prove well-posedness of the problem and existence of an optimal control. In addition, we show first order optimality conditions and numerical simulations. •Optimal control in optical communications.•Continuous and discrete noise from amplifiers.•Computation of bit error ratios.•Existence and first order necessary conditions for an optimal control.•Efficient numerical method to solve the optimal control problem.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2022.11.050