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折扣與優(yōu)惠:團(tuán)購(gòu)最低可5折優(yōu)惠 - 了解詳情 | 論文格式:Word格式(*.doc) | ![]() |
摘 要:在光纖通信中衰減和色散是兩大難題,隨著摻鉺光纖放大器的誕生并使用,有效地解決了衰減問(wèn)題,隨著入纖光功率的增大,色散問(wèn)題嚴(yán)重地限制了波分復(fù)用,借助于孤子在運(yùn)動(dòng)過(guò)程中其形狀和速度能保持不變的特性,超短脈沖在光纖中傳輸可望有效地解決色散問(wèn)題。針對(duì)非線性光纖中超短脈沖傳輸滿足的是高階非線性薛定諤方程,采用了G'/G 展開(kāi)法,進(jìn)行精確求解。首先采用G'/G 展開(kāi)法對(duì)DSW方程進(jìn)行精確求解,得到了G'/G展開(kāi)法求解方程的一般方法。然后針對(duì)非線性光纖中超短脈沖傳輸,存在著群速度色散、自相位調(diào)制等滿足的具有四階色散項(xiàng)和五次非線性項(xiàng)的高階非線性薛定諤方程,進(jìn)行精確求解,得到了扭結(jié)型孤波解、反扭結(jié)型孤波解、正切三角函數(shù)型孤波解、余切三角函數(shù)型孤波解。結(jié)果表明,作為一種新型的解法G'/G 展開(kāi)法對(duì)于非線性光纖中超短脈沖傳輸?shù)母唠A非線性薛定諤方程,能得到精確的孤子解,為超短脈沖在光纖中傳輸提供理論依據(jù)。 關(guān)鍵詞:信息光學(xué),光纖,非線性薛定諤方程,展開(kāi)法
Abstract:There are two major problems in the optical fiber communication. The first one is the attenuation. Another is the dispersion. The attenuation problem had been effectively controlled with the development of erbium doped fiber amplifier (EDFA). With increasing of optical power in fiber the dispersion problem had restricted severely the wavelength division multiplexing (WDM). The characteristics of the soliton would help the ultrashort pulse in optical fiber transmission. The characteristics are the shape and the speed could keep constant when the soliton was moving in the process. The ultrashort pulse in optical fiber transmission was expected to control effectively dispersion. The propagation of the nonlinear ultra-short laser pulse in fibers which fits the high order nonlinear Schrödinger equation had been solved exactly with the G'/G expansion method. The general scheme of the G'/G expansion method was found by exact solution for the DSW equation. Then the problems of the nonlinear fiber ultra-short pulse transmission had been solved exactly with the G'/G expansion method. The problems concluded the group velocity dispersion, the self phase modulation, and so on. The problems fit for the high order nonlinear Schrödinger equation with the items of the four order dispersion and the power of five nonlinear. A series of solutions had been obtained such as the solitary wave solutions of kink, inverse kink, tangent trigonometric function, and co tangent trigonometric function. The results shown that the G'/G expansion method was effective method in solving exactly for the high order nonlinear Schrödinger equation. The propagation of the nonlinear ultra-short laser pulse in fibers fit the high order nonlinear Schrödinger equation. The exact solitary wave solution had been got. The result provided a theoretical basis for the transmission of the ultra-short pulse in nonlinear optical fiber. Key words: Information optics, optics fiber, nonlinear Schrödinger equation, G'/G expansion method |