Summary form only given. For the transmission of a transform-limited pulse over a distance z in a nonlinear dispersive fiber, the rms pulsewidth /spl sigma/(z) grows linearly with z/L/sub d/ when L/sub d//spl Lt/L/sub n/ (linear limit) and linearly with z//spl radic/L/sub d/L/sub n/ when L/sub d/>L/sub n/ (strong nonlinearity), where L/sub d/ and L/sub n/ are the dispersion and nonlinear lengths, respectively. For a given z in the linear limit, there is an optimum input rms width /spl sigma//sub o/ to minimize /spl alpha/(z). In this case /spl sigma//sub o,opt/ is a function of z and the corresponding minimum output /spl sigma//sub min/ then grows as the square-root rather than linearly with z. The purpose of this paper is to show that there is still an optimum o, in the nonlinear case, but that /spl sigma//sub o,opt/ and /spl sigma//sub min/ grow linearly with /spl radic/|/spl beta//sub 2/|/L/sub n/ z, where /spl beta//sub 2/ is the second order dispersion coefficient. The /spl radic/z dependence of /spl sigma//sub min/ in the linear case is nonrealizable since as z becomes large, /spl sigma//sub o,opt/ increases and hence L/sub d/=2/spl sigma//sub o//sup 2//|/spl beta//sub 2/| also increases. Thus, regardless of how small the input power, ultimately the nonlinear length will become smaller than the dispersion length, and nonlinearities will prevail.
Variational analysis of optimal pulse widths in dispersive nonlinear fibers
1999-01-01
298868 byte
Conference paper
Electronic Resource
English
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