2018/12/05 by Vahid Aref, Aref, Vahid
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Nonlinear Photonic Systems #Optical Network Technologies #Signal Processing (eess.SP) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1812.02048
openalex publication_date 2018/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Multi-soliton pulses, as special solutions of the Nonlinear Schroedinger Equation (NLSE), are potential candidates for optical fiber transmission where the information is modulated and recovered in the so-called nonlinear Fourier domain. For data communication, the exponentially decaying tails of a multi-soliton must be truncated. Such a windowing changes the nonlinear Fourier spectrum of the pulse. The results of this paper are twofold: (i) we derive the simple closed-form expressions for the nonlinear spectrum, discrete and continuous spectrum, of a symmetrically truncated multi-soliton pulse from tight approximation of the truncated tails. We numerically show the accuracy of the closed-form expressions. (ii) We show how to find, in general, the eigenvalues of the discrete spectrum from the continuous spectrum. We present this method for the application in hand.