本文選題：慢飽和吸收 + 耦合模方程�。� 參考：《山西大學(xué)》2015年碩士論文

【摘要】：近幾年,人們對超快光學(xué)的研究和應(yīng)用產(chǎn)生了濃厚的興趣,鎖模光纖激光器作為超快光學(xué)的基石,也引起了人們極大的關(guān)注。因此,本文將對鎖模光纖激光器中超短脈沖解展開詳細(xì)的理論研究。首先,本文簡要介紹了鎖模光纖激光器的基本結(jié)構(gòu)和原理,充分了解了鎖模光纖激光器國內(nèi)外的研究現(xiàn)狀及其研究意義。其次,以雙折射光纖中脈沖傳輸所滿足的耦合模方程為基礎(chǔ),引入了慢飽和吸收效應(yīng),建立了新的理論模型。采用擬解法對該模型的精確解進(jìn)行了推導(dǎo),并對其傳輸特性和穩(wěn)定性進(jìn)行了詳細(xì)的數(shù)值研究。結(jié)果表明,在合理的系統(tǒng)參數(shù)條件下,精確解可以在一定擾動(dòng)存在的情況下穩(wěn)定傳輸。最后,我們采用對稱分步傅里葉法討論了相鄰矢量脈沖間的相互作用。研究結(jié)果顯示：引入慢飽和吸收效應(yīng),對相鄰脈沖間的相互作用將產(chǎn)生明顯的影響;當(dāng)慢飽和吸收效應(yīng)不變,增大相鄰脈沖間的初始間距時(shí),相鄰脈沖間的相互作用也將隨之改變,直至最終消失。此外,我們還研究了相鄰脈沖間相互作用的抑制。
[Abstract]:In recent years, people have been interested in the research and application of ultra-fast optics. As the cornerstone of ultra-fast optics, mode-locked fiber lasers have attracted great attention. Therefore, a detailed theoretical study of ultrashort pulse solutions in mode-locked fiber lasers is presented in this paper. Firstly, the basic structure and principle of mode-locked fiber laser are briefly introduced, and the research status and significance of mode-locked fiber laser at home and abroad are fully understood. Secondly, based on the coupling mode equation of pulse propagation in birefringent fiber, the slow saturation absorption effect is introduced and a new theoretical model is established. The exact solution of the model is derived by using the quasi-method, and the transmission characteristics and stability of the model are studied numerically in detail. The results show that the exact solution can be transmitted stably under the condition of reasonable system parameters. Finally, we discuss the interaction between adjacent vector pulses by using the symmetric fractional Fourier method. The results show that the effects of slow saturation absorption on the interaction between adjacent pulses are obvious, and when the slow saturation absorption effect is constant, the initial spacing between adjacent pulses is increased. The interaction between adjacent pulses will also change and eventually disappear. In addition, we also study the suppression of the interaction between adjacent pulses.
【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】：2015
【分類號】：TN248

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本文編號：1892161