Erlangen 2018 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 29: Quantum Optics and Photonics I

Q 29.5: Vortrag

Dienstag, 6. März 2018, 15:00–15:15, K 0.016

Solitons and their eigenvalues in the presence of gain and loss. — •Christoph Mahnke, Alexander Hause, and Fedor Mitschke — Universität Rostock, Institut für Physik, Albert-Einstein-Str. 23-24, 18059 Rostock, Germany

Due to the growing demand for data transmission capacity, the concept of fiber-optical solitons as information carriers [1] has regained interest recently [2]. This technique is based on soliton eigenvalues, which are invariants of the Nonlinear Schrödinger equation.

When one considers real-world implementations, power loss is unavoidable and amplification becomes a necessity. Then, the invariance of the soliton eigenvalues is lost. In this case researchers resorted to perturbation techniques [3]. Using the Nonlinear Fourier transform we can characterize solitons in the regime beyond weak gain or loss.

Considering the cases where the initial condition contains zero, one, or two solitons, we can demonstrate that the eigenvalue spectrum, and the soliton number in particular, can change during amplification. We demonstrate how the copropagating linear radiation acts as the energy source for the generation of new solitons. We believe that our results can be helpful for the future design of nonlinear transmission systems.

[1] A. Hasegawa, T. Nyu, J. Lightwave Technol. 11, 395-399 (1993).

[2] S. Turitsyn et al., Optica 4, 307-322 (2017).

[3] A. Hasegawa, Y. Kodama, Opt. Lett. 15, 1443-1445 (1990).