【正文】 四川 大學(xué)本科畢業(yè)論文 基于雙零色散光子晶體光纖的超連續(xù)譜特性分析 基于雙零色散光子晶體光纖的超連續(xù)譜特性分析 【摘要 】 光子晶體光纖 (PCF)因其獨(dú)特的非線性特性和色散特性被廣泛地應(yīng)用在非線性光學(xué)等領(lǐng)域， PCF 中超連續(xù)譜的產(chǎn)生便是其應(yīng)用的一個(gè)方面?，F(xiàn)階段超連續(xù)譜的產(chǎn)生過(guò)程中仍然存在效率低，平坦性不好等問(wèn)題。與單零色散 PCF 相比，雙零色散 PCF 有著更靈活的設(shè)計(jì)度，是解決上述問(wèn)題的一種理想材料。本文從麥克斯韋方程組出發(fā)，結(jié)合物質(zhì)方程推導(dǎo)出了光纖中短脈沖的傳播方程 — 非線性薛定諤方程，并采用分步傅里葉算法對(duì)脈沖展寬的過(guò)程 進(jìn)行數(shù)值模擬。通過(guò)數(shù)值模擬的結(jié)果，認(rèn)識(shí)到了光纖中脈沖的展寬是多種非線性效應(yīng)相互作用的結(jié)果，對(duì)其機(jī)理有了更進(jìn)一步的理解，同時(shí)通過(guò)單零色散PCF 和雙零色散 PCF 中模擬結(jié)果的對(duì)比，了解到了雙零色散 PCF 在輸出譜平坦性等上面的優(yōu)勢(shì)，得出了雙零色散 PCF 是產(chǎn)生超連續(xù)譜的一種理想介質(zhì)的結(jié)論。 關(guān)鍵詞 ：超連續(xù)譜；光子晶體光纖；色散； 四川大學(xué)本科畢業(yè)論文 基于雙零色散光子 晶體光纖的超連續(xù)譜特性分析 Supercontinuum generation in photonic crystal fibers with two Zerodispersion wavelengths Electronic Science and Technology Student： Adviser: 【 Abstract】 Photonic crystal fiber (PCF) because of its unique nonlinear characteristics and dispersion characteristics are widely used in nonlinear optics and other fields, supercontinuum generation is one aspect of its application .At the present stage， problems such as Inefficiencies and poor flatness still exist in the process of with the single zero dispersion PCF, double zero dispersion PCF has a more flexible design to solve the above problems. From the Maxwell equations, bining physical equations ,we deduced the NLSE, and with the use of substep Fourier method we simulated the pulse stretching results of numerical simulations, we recognized the fiber pulse broadening is the result of the interaction of a variety of nonlinear the parison results in a single zero PCF and doublezero dispersion PCF, we learned the doublezero dispersion PCF advantage in the output spectrum flatness. we believe that Double zero dispersion PCF is an ideal medium to produce supercontinuum. Key words: supercontinuum, Photonic crystal fibers,dispersion. 四川大學(xué)本科畢業(yè)論文 基于雙零色散光子 晶體光纖的超連續(xù)譜特性分析 目錄 第一章 緒論 ................................................................................................................................. 1 雙零色散 PCF 研究的目的意義 ........................................................................................... 1 超連續(xù)譜的發(fā)展和應(yīng)用 ................................................................. 錯(cuò)誤 !未定義書(shū)簽。 章節(jié)安排 ..........................................................................................................................3 第二章 PCF 中超連續(xù)譜形成的理論研究 ................................................................................... 4 PCF 中光脈沖的傳輸模型 ............................................................................................... 4 光脈沖在光纖中的傳輸?shù)幕痉匠? .................................................................... 4 光子晶體光纖中的色散 ........................................................ 錯(cuò)誤 !未定義書(shū)簽。 光纖中的非線性效應(yīng) ...................................................................................................... 8 自相位調(diào)制（ SPM） ......................................................................................... 8 交叉相位調(diào)制（ XPM） ...................................................................................... 8 四波混頻（ FWM） ............................................................................................. 9 受激拉曼散射（ SRS） .......................................................................................9 小結(jié) .................................................................................................................................. 9 第三章 單零色散點(diǎn) PCF 中超連續(xù)譜的產(chǎn)生 .............................................................................9 光纖的結(jié)構(gòu) .................................................................................................................... 10 數(shù)值模擬分析 ............................................................................................................... 11 傳輸距離對(duì)超連續(xù)譜產(chǎn)生的影響 ................................................................... 11 泵浦功率對(duì)超連續(xù)譜產(chǎn)生的影響 ..................................................................... 12 泵浦波長(zhǎng)對(duì)超連續(xù)譜產(chǎn)生的影響 ..................................................................... 14 小結(jié) ................................................................................................................................ 15 第四章 雙零色散點(diǎn) PCF 中超連續(xù)譜的產(chǎn)生 ............................................................................15 光纖結(jié)構(gòu)和計(jì)算分析 ....................................................................................................15 數(shù)值模擬分析 ................................................................................................................18 傳輸距離對(duì)超連續(xù)譜產(chǎn)生的影響 ................................................................... 18 泵浦功率對(duì)超連續(xù)譜產(chǎn)生 的影響 ..................................................................... 20 泵浦波長(zhǎng)對(duì)超連續(xù)譜產(chǎn)生的影響 ..................................................................... 21 小結(jié) ................................................................................................................................22 第 五 章 總結(jié)與展望 .....................................................................................................................23 總結(jié) ................................................................................................................................23 展望 ................................................................................................................................ 23 參考文獻(xiàn) ....................................................................................................................................... 24 致謝 ............................................................................................................................................... 26 附錄 文獻(xiàn)翻譯 .................................................