Nonlinear Fourier Transform of Truncated Multi-Soliton Pulses
Konferenz: SCC 2019 - 12th International ITG Conference on Systems, Communications and Coding
11.02.2019 - 14.02.2019 in Rostock, Germany
doi:10.30420/454862035
Tagungsband: SCC 2019
Seiten: 6Sprache: EnglischTyp: PDF
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Autoren:
Aref, Vahid (Nokia Bell Labs, Stuttgart, Germany)
Inhalt:
Multi-soliton pulses, as special solutions of the Nonlinear Schrödinger 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.