本文選題：艾里脈沖 + 非線性傳輸　； 參考：《深圳大學(xué)》2017年碩士論文

【摘要】：艾里脈沖傳輸特性是近些年光學(xué)研究領(lǐng)域重要的課題之一。與常規(guī)的對(duì)稱的高斯和雙曲正割脈沖相比,艾里脈沖不但是一種非對(duì)稱波包,而且還具有一些獨(dú)特的性質(zhì),如自加速/自減速、無色散和自愈的特性。這些獨(dú)特的性質(zhì)導(dǎo)致艾里脈沖在傳輸過程中呈現(xiàn)出新的特性,同時(shí)也為操控非線性光學(xué)效應(yīng)提供了一個(gè)新的自由度。本文通過對(duì)初始輸入的艾里脈沖進(jìn)行調(diào)制,利用解析求解和數(shù)值模擬方法,研究了調(diào)制艾里脈沖的傳輸特性。本文主要研究?jī)?nèi)容與結(jié)果如下:1.通過調(diào)制輸入艾里脈沖頻率,使艾里脈沖攜帶有初始頻率啁啾。這種調(diào)制方法使得艾里脈沖的時(shí)間波形不變,但是其頻譜分布由啁啾參量決定。脈沖頻譜分布由無調(diào)制時(shí)的高斯分布變?yōu)榘锓植�。研究表�?傳輸特性取決于二階色散參數(shù)和啁啾值是同號(hào)還是異號(hào)。當(dāng)兩者異號(hào)時(shí),啁啾艾里脈沖首先經(jīng)歷壓縮過程,接著到達(dá)崩塌區(qū)域,然后在相反的傳輸方向上形成新的艾里脈沖。當(dāng)兩者同號(hào)時(shí),由于色散效應(yīng),啁啾艾里脈沖在傳輸過程中總是擴(kuò)散的。相關(guān)研究結(jié)果發(fā)表在Optics Express上。2.通過對(duì)輸入艾里脈沖的頻譜附加二階相位調(diào)制,使得艾里脈沖的頻譜分布不變,但是其時(shí)間分布則由二階相位調(diào)制決定。研究表明,在線性傳輸過程中,這種調(diào)制艾里脈沖的自加速與自減速特性取決于二階色散與二階相位調(diào)制是否是同號(hào)還是異號(hào)。當(dāng)兩者同號(hào)時(shí),調(diào)制艾里脈沖先加速(或減速)后減速(或加速);當(dāng)兩者異號(hào)時(shí),調(diào)制艾里脈沖始終是加速(或減速)。在反常色散和非線性的共同作用下,這種調(diào)制艾里脈沖輻射孤子的加速與二階相位調(diào)制量的正負(fù)決定。為操控孤子的加速和減速提供了一種新方法,同時(shí)不需要借助于高階線性與非線性效應(yīng)。相關(guān)研究結(jié)果發(fā)表在Scientific Reports上。
[Abstract]:The characteristics of Iris pulse propagation is one of the most important topics in the field of optical research in recent years. Compared with the conventional symmetric Gao Si and hyperbolic cut pulses, the Ellie pulse is not only an asymmetric wave packet, but also has some unique properties, such as self-acceleration / self-deceleration, dispersion free and self-healing. These unique properties lead to the new characteristics of the Alleigh pulse in the transmission process, and also provide a new degree of freedom for the manipulation of nonlinear optical effects. In this paper, the transmission characteristics of the modulated Ellie pulse are studied by using the analytical solution and numerical simulation method. The main contents and results of this paper are as follows: 1. The initial frequency chirp is obtained by modulating the input frequency of the Iris pulse. The modulation method makes the time waveform of the pulse invariable, but the spectrum distribution is determined by the chirp parameter. The pulse spectrum distribution changes from the Gao Si distribution without modulation to the Ellie distribution. It is shown that the transmission characteristics depend on whether the second order dispersion parameters and chirp values are identical or different. When the two signals are different, the chirped Iris pulse first goes through the compression process, then reaches the collapse region, and then forms a new Iris pulse in the opposite direction of transmission. When the two signals are the same, the chirped Iris pulse always diffuses during transmission due to the dispersion effect. The results are published in Optics Express. 2. By adding the second-order phase modulation to the spectrum of the input Ellie pulse, the spectrum distribution of the Iris pulse is invariable, but the time distribution is determined by the second-order phase modulation. It is shown that the self-acceleration and self-deceleration characteristics of the modulated Iris pulse in linear transmission depend on whether the second-order dispersion and second-order phase modulation are identical or not. When the two signals are the same, the modulated Iris pulse accelerates (or slows down) first and then slows down (or accelerates); when the two signals are different, the modulation of the Iris pulse is always an acceleration (or deceleration). Under the joint action of anomalous dispersion and nonlinearity, the acceleration of the radiation soliton and the positive or negative second-order phase modulation are determined. A new method is provided for controlling the acceleration and deceleration of solitons without the aid of higher order linear and nonlinear effects. The results were published in Scientific reports.
【學(xué)位授予單位】：深圳大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O43

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