TY - JOUR
T1 - The multiple-scale averaging and dynamics of dispersion-managed optical solitons
AU - Yang, Tian Shiang
AU - Kath, William L.
AU - Turitsyn, Sergei K.
PY - 1999/1/1
Y1 - 1999/1/1
N2 - Multiple-scale averaging is applied to the nonlinear Schrödinger equation with rapidly varying coefficients, the results are used to analyze pulse propagation in an optical fiber when a periodic dispersion map is employed. The effects of fiber loss and repeated amplification are taken into account by use of a coordinate transformation to relate the pulse dynamics in lossy fibers to that in equivalent lossless fibers. Second-order averaaing leads to a general evolution equation that is applicable to both return-to-zero (soliton) and non-return-tozero encoding schemes. The resulting equation is then applied to the specific case of solitons, and an asymptotic theory for the pulse dynamics is developed. Based upon the theory, a simple and effective design of two-step dispersion maps that are advantageous for wavelength-division-multiplexed soliton transmission is proposed. The use of these specifically designed dispersion maps allows simultaneous minimization of dispersive radiation in several different channels.
AB - Multiple-scale averaging is applied to the nonlinear Schrödinger equation with rapidly varying coefficients, the results are used to analyze pulse propagation in an optical fiber when a periodic dispersion map is employed. The effects of fiber loss and repeated amplification are taken into account by use of a coordinate transformation to relate the pulse dynamics in lossy fibers to that in equivalent lossless fibers. Second-order averaaing leads to a general evolution equation that is applicable to both return-to-zero (soliton) and non-return-tozero encoding schemes. The resulting equation is then applied to the specific case of solitons, and an asymptotic theory for the pulse dynamics is developed. Based upon the theory, a simple and effective design of two-step dispersion maps that are advantageous for wavelength-division-multiplexed soliton transmission is proposed. The use of these specifically designed dispersion maps allows simultaneous minimization of dispersive radiation in several different channels.
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U2 - 10.1023/a:1004554209222
DO - 10.1023/a:1004554209222
M3 - Article
AN - SCOPUS:0033372339
VL - 36
SP - 163
EP - 184
JO - Journal of Engineering Mathematics
JF - Journal of Engineering Mathematics
SN - 0022-0833
IS - 1-2
ER -