1. On the All-Fiber Optical Methods of the Generation and Recognition of Soliton States
- Author
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L. A. Mel’nikov, K. S. Gochelashvili, E. V. Shchurkin, A. I. Konyukhov, and A. A. Sysolyatin
- Subjects
Physics ,Optical fiber ,Field (physics) ,Fiber (mathematics) ,Spectrum (functional analysis) ,Mathematical analysis ,General Physics and Astronomy ,01 natural sciences ,Signal ,law.invention ,Nonlinear Sciences::Exactly Solvable and Integrable Systems ,law ,0103 physical sciences ,Dispersion (optics) ,Soliton ,010306 general physics ,Nonlinear Sciences::Pattern Formation and Solitons ,Eigenvalues and eigenvectors - Abstract
The state of a soliton is characterized by the eigenvalues of the Zakharov–Shabat problem. The data transfer rate in the fiber-optic communication lines that use eigenvalues for coding signals can be significantly increased only by developing optical eigenvalue control methods. We propose to use optical fibers with a sinusoidally changing dispersion to generate given sets of complex eigenvalues and to detect soliton states. Under the action of a periodic change in dispersion, multisoliton pulses divide into several solitons moving at different group velocities. This effect can be used to prepare fixed sets of eigenvalues. A soliton signal can be recognized by analyzing pulses and their spectra at the exit from a fiber with a periodically changing dispersion. Using the solitons specified by sets of four eigenvalues, we show that the field at the exit from a fiber corresponds to a unique combination of the spectrum and the number of pulses determined by initial eigenvalues.
- Published
- 2019
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