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Interpretation of the effect of reduction of soliton interaction by bandwidth limited amplification

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Abstract

A lot of possible applications of solitons for all-optical logic and high-bit rate transmission lines makes the problem of soliton interaction a very important aspect of the study of soliton propagation and amplification in optical fibers. In particular, soliton-soliton interaction limits bit rate of soliton communication systems and therefore reduction of soliton interaction is a very promising proposal. It was discussed recently by different authors that the interaction strength might be substantially reduced or fully suppressed by the bandwidth-limited gain [1-5]. At the same time, the bandwidth limited amplification is already being used in soliton communication systems for reduction of Gordon-Haus jitter [6,7] and noise suppression [8]. So, it is potentially possible to increase the bit rate by the simply changing the parameters of spectral filtering and small additional amplification. But the explanation of this effect is the subject of discussion. Different theories were proposed; however, there is no satisfactory approach to explain this effect for arbitrary soliton phases and to give a quantitative agreement with numerical simulations. Treating this problem as a very important one, here we present numerical results along with an analysis of IST eigenvalues and modified equation for soliton center.

© 1993 Optical Society of America

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