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Study of Raman Self-frequency Shift of Femtosecond Solitons in Optical Communications

Author: ChenWen
Tutor: ChenXiangJun
School: Jinan University
Course: Condensed Matter Physics
Keywords: Modified nonlinear Schr?dinger equation Femtosecond soliton Raman self-frequency shift
CLC: O437
Type: Master's thesis
Year: 2003
Downloads: 120
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Abstract


Serious and can not be described by the nonlinear Schrodinger equation (NLS) in the anomalous dispersion region of single-mode fiber transmission picosecond pulse , narrow pulse width to the sub-picosecond and femtosecond nonlinear dispersion for micro the scrambling process contains the nonlinear dispersion term correction nonlinear Schrodinger (MNLS) equation is a better model . The thesis MNLS soliton model as fiber femtosecond soliton femtosecond soliton self-frequency shift in the transmission fiber caused by the Raman effect , through the newly established the MNLS soliton direct perturbation theory , research , and by frequency filtering the frequency shift of the inhibition. To do this , first given in the description MNLS physical quantities of the soliton , and then use the the MNLS soliton direct perturbation theory , resolve to get these problems under the adiabatic approximation the solitons parameter evolution , and thus to select the frequency filtering parameters , and finally with a step-by-step Fu li leaf method in nonlinear derivative algorithm made ??suitable for MNLS soliton improvement to the Raman effect and frequency filtering direct numerical simulation , in which the frequency of the filter parameters are determined using perturbation theory . The results show that : the Raman effect is not caused the MNLS soliton initial center initial phase change and energy , but will change the average frequency of the soliton that is caused by self-frequency shift , with NLS soliton perturbation theory is similar . Different from the Raman effect does not change the soliton energy , but will cause the soliton peak decline and width wider than NLS soliton self-frequency shift perturbation theory and under the same conditions , the the MNLS soliton perturbation theory closer to the direct numerical results . A limited bandwidth, the frequency filtering is not caused MNLS soliton initial center , the change of the initial phase , to select the appropriate frequency filter parameter values ??enables the average frequency of the soliton stability in a stable value of the initial average frequency of the red side , is suppressed since frequency shift , and physical quantities last solitons are stable in a stable value , with NLS soliton perturbation theory are similar . The different is that the width of the femtosecond , the MNLS SOLITON stable value of the average frequency of the closer the initial average frequency , and more close to the numerical calculation results .

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CLC: > Mathematical sciences and chemical > Physics > Optics > Nonlinear optical ( light and matter)
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