【摘要】：本文研究的理論模型是變系數(shù)的五次金茲堡-朗道(Ginzburg-Landau)方程,首先,研究理論模型的精確解,根據(jù)計(jì)算結(jié)果理論分析了精確解在非均勻光纖系統(tǒng)中的傳輸情況,并對理論分析進(jìn)行數(shù)值驗(yàn)證。然后,在考慮非均勻光纖系統(tǒng)中的五階非線性克爾效應(yīng)時,研究了精確孤子解形式的超短脈沖的傳輸特性,并討論兩個這種超短光脈沖在傳輸過程中的相互作用。最后,在考慮五階非線性克爾效應(yīng)時,研究光纖放大器中光孤子的傳輸特性,并討論了五階非線性克爾效應(yīng)對光孤子的具體影響。在實(shí)際應(yīng)用中,這些研究對于超短脈沖在非均勻光纖系統(tǒng)中的傳輸提供了一定的理論依據(jù),還有助于控制光纖放大器和非均勻光纖系統(tǒng)中五階非線性克爾效應(yīng)的影響。本文研究的主要內(nèi)容包含以下幾個方面:(1)介紹在光纖通信發(fā)展中非線性光纖光學(xué)的研究背景,簡述國內(nèi)外光孤子在非均勻光纖系統(tǒng)中的研究現(xiàn)狀,并簡要分析五階非線性克爾效應(yīng)的研究意義。(2)研究理論模型的精確解。在考慮光纖傳輸介質(zhì)中五階非線性克爾效應(yīng)時,利用擬解法計(jì)算出滿足特殊條件下的精確孤子解,在理論的層面上分析精確解的傳輸情況。當(dāng)忽略五階非線性克爾效應(yīng),計(jì)算出光纖傳輸系統(tǒng)中存在的精確耗散孤子解,同樣分析耗散孤子解的傳輸情況。最后,對精確的孤子解和耗散孤子解進(jìn)行數(shù)值分析,驗(yàn)證理論研究的結(jié)果。(3)在考慮五階非線性克爾效應(yīng)的非均勻光纖傳輸系統(tǒng)中,用分步傅里葉法研究精確孤子解超短脈沖的傳輸穩(wěn)定性和相互作用。在入射脈沖中分別加入振幅微擾和隨機(jī)噪聲,數(shù)值模擬其傳輸穩(wěn)定性;并通過改變兩個相鄰入射脈沖之間的距離,數(shù)值模擬在此系統(tǒng)中的傳輸情況,分析兩個光孤子之間的相互作用。(4)在光纖放大器中考慮五階非線性克爾效應(yīng)時,用分步傅里葉法研究光孤子的傳輸特性。首先,以雙曲正割脈沖作為入射脈沖,研究亮孤子中的演化過程和其傳輸?shù)姆�(wěn)定性,并分析多個亮孤子的傳輸情況;其次,以雙曲正切脈沖作為入射脈沖,研究暗孤子的傳輸情況;最后,討論五階非線性克爾效應(yīng)對光孤子的具體影響。
[Abstract]:The theoretical model studied in this paper is the quintic Kingsbauer-Landau (Ginzburg-Landau) equation with variable coefficients. Firstly, the exact solution of the theoretical model is studied, and the transmission of the exact solution in non-uniform optical fiber system is analyzed according to the theory of calculation results. The theoretical analysis is verified numerically. Then, considering the fifth-order nonlinear Kerr effect in non-uniform optical fiber systems, the propagation characteristics of ultrashort pulses in the form of exact soliton solutions are studied, and the interaction of two ultrashort optical pulses in the transmission process is discussed. Finally, the propagation characteristics of optical solitons in fiber amplifiers are studied when the fifth-order nonlinear Kerr effect is considered, and the influence of the fifth-order nonlinear Kerr effect on the optical solitons is discussed. In practical applications, these studies provide a theoretical basis for the transmission of ultrashort pulses in non-uniform optical fiber systems, and help to control the influence of the fifth-order nonlinear Kerr effect in fiber amplifiers and non-uniform optical fiber systems. The main contents of this paper include the following aspects: (1) the research background of nonlinear optical fiber optics in the development of optical fiber communication is introduced, and the research status of optical solitons in non-uniform optical fiber systems at home and abroad is briefly described. The significance of the fifth order nonlinear Kerr effect is briefly analyzed. (2) the exact solution of the theoretical model is studied. Considering the fifth-order nonlinear Kerr effect in the optical fiber transmission medium, the exact soliton solution satisfying the special conditions is calculated by using the quasi method, and the transmission of the exact solution is analyzed on the theoretical level. When the fifth-order nonlinear Kerr effect is ignored, the exact dissipative soliton solutions in the optical fiber transmission system are calculated, and the transmission of the dissipative soliton solutions is also analyzed. Finally, numerical analysis of exact soliton solution and dissipative soliton solution is carried out to verify the results of theoretical research. (3) in a non-uniform optical fiber transmission system considering the fifth-order nonlinear Kerr effect, The propagation stability and interaction of ultrashort pulses for accurate soliton solutions are studied by using the split-step Fourier method. The transmission stability is numerically simulated by adding amplitude perturbation and random noise to the incident pulse, and the transmission in this system is simulated by changing the distance between two adjacent incident pulses. The interaction between the two solitons is analyzed. (4) the propagation characteristics of the optical solitons are studied by using the split-step Fourier method when the fifth-order nonlinear Kerr effect is considered in the fiber amplifier. Firstly, the evolution process and the transmission stability of bright solitons are studied by using hyperbolic tangent pulse as incident pulse, and the transmission of several bright solitons is analyzed, secondly, the hyperbolic tangent pulse is used as incident pulse. The propagation of dark solitons is studied. Finally, the influence of fifth-order nonlinear Kerr effect on optical solitons is discussed.
【學(xué)位授予單位】：山西大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2016
【分類號】：TN929.11

【相似文獻(xiàn)】

相關(guān)期刊論文 前10條

1 鐘先瓊;向安平;羅莉;李旭;;三五階非線性下光纖中脈沖對的啁啾和頻譜[J];紅外與激光工程;2006年S3期

2 鐘先瓊;向安平;;五階非線性光纖中雙脈沖不對稱的頻譜特性[J];紅外與激光工程;2007年S2期

3 鐘先瓊;向安平;;五階非線性下雙脈沖的相移和啁啾分析[J];紅外與激光工程;2007年S2期

4 鐘先瓊;向安平;高秀英;;五階非線性下雙脈沖相移和啁啾的解析研究[J];紅外與激光工程;2007年S1期

5 鐘先瓊;向安平;;五階非線性光纖中三階孤子的波形演化[J];紅外與激光工程;2008年S1期

6 鐘先瓊;向安平;;五階非線性光纖中暗孤子的演化特性[J];紅外與激光工程;2008年S2期

7 岳進(jìn);楊榮草;;五階非線性效應(yīng)下源啁啾飛秒孤子間相互作用[J];量子電子學(xué)報(bào);2008年04期

8 鐘先瓊;向安平;;五階非線性光纖中高階孤子的壓縮特性研究[J];光電子.激光;2009年01期

9 鐘先瓊;向安平;;負(fù)五階非線性下高階孤子分裂的數(shù)值模擬[J];激光雜志;2009年05期

10 岳進(jìn);王榮成;;五階非線性效應(yīng)下三階孤子對演化的數(shù)值研究[J];量子電子學(xué)報(bào);2011年04期

相關(guān)會議論文 前8條

1 鐘先瓊;向安平;羅莉;李旭;;三五階非線性下光纖中脈沖對的啁啾和頻譜[A];2006年全國光電技術(shù)學(xué)術(shù)交流會會議文集（C 激光技術(shù)與應(yīng)用專題）[C];2006年

2 鐘先瓊;向安平;高秀英;;五階非線性下雙脈沖相移和啁啾的解析研究[A];2007年先進(jìn)激光技術(shù)發(fā)展與應(yīng)用研討會論文集[C];2007年

3 鐘先瓊;向安平;;五階非線性光纖中暗孤子的演化特性[A];第二屆紅外成像系統(tǒng)仿真測試與評價技術(shù)研討會論文集[C];2008年

4 鐘先瓊;向安平;;五階非線性光纖中三階孤子的波形演化[A];高精度幾何量光電測量與校準(zhǔn)技術(shù)研討會論文集[C];2008年

5 鐘先瓊;向安平;;五階非線性下脈沖時延對雙脈沖啁啾和頻譜的影響[A];第11屆全國發(fā)光學(xué)學(xué)術(shù)會議論文摘要集[C];2007年

6 張毓英;孫，

本文編號：2246834