The Nonlinear Fourier Transform and its Extension to the Strong Coupling Multi-Mode Case.

Searching for ways to overcome the impending "capacity crunch" in fiber-optic data-transmission networks, the interest in communication systems utilizing the nonlinear Fourier transform for signal generation/detection has been rekindled in recent years. The nonlinear Fourier transform can be utilized in the context of the strong-coupling multi-mode channel, leading to potential synergies with space-division multiplexing. In this paper, we present the nonlinear Fourier transform for the strong-coupling multi-mode case, and extend some properties which are well known for the nonlinear Schrödinger equation case. In closing, we shortly investigate a transmission scenario utilizing the presented method and give an outlook on future topics in the field.