發(fā)布時(shí)間：2018-12-07 07:11

【摘要】：交叉相位調(diào)制(XPM)不穩(wěn)定性是指當(dāng)兩束或多束不同波長(zhǎng)的光波在介質(zhì)中傳輸時(shí),由于光束之間的非線性效應(yīng)發(fā)生相互作用會(huì)產(chǎn)生一些調(diào)制不穩(wěn)定現(xiàn)象。XPM所引起的脈沖壓縮、光開(kāi)關(guān)和非互易性等效應(yīng)已經(jīng)在光通信器件中獲得應(yīng)用。超常介質(zhì)特別是左手材料在2000年被制備出來(lái),由于它的介電常數(shù)和磁導(dǎo)率同時(shí)為負(fù),具備一般材料沒(méi)有的突出性能,吸引了許多國(guó)內(nèi)外研究學(xué)者的關(guān)注。而且超常介質(zhì)中的電磁特性都是色散的,這使得常規(guī)介質(zhì)中的一些理論在超常介質(zhì)中不再適用。因此,在超常介質(zhì)中研究交叉相位調(diào)制的不穩(wěn)定性是十分必要的。 影響調(diào)制不穩(wěn)定性的主要因素是非線性效應(yīng)和色散。在常規(guī)的非線性材料中對(duì)調(diào)制不穩(wěn)定性的研究已經(jīng)很完善,但在超常介質(zhì)中對(duì)于雙光束傳輸中的交叉相位調(diào)制還停留在研究低階群速度色散和低階非線性項(xiàng),缺乏對(duì)高階群速度色散和高階非線性項(xiàng)等方面的深入研究。因此,有必要進(jìn)一步研究超常介質(zhì)中高階色散和高階非線性對(duì)交叉相位調(diào)制不穩(wěn)定性的影響。 論文從擴(kuò)展的耦合非線性薛定諤方程組出發(fā),基于超常介質(zhì)中無(wú)損耗的Drude色散模型,通過(guò)研究?jī)墒騻鬏數(shù)墓獠ㄔ诰哂懈唠A色散和三、五階非線性的超常介質(zhì)中的傳輸,推導(dǎo)得出在群速度色散和三階色散都不相等和兩者都相等的情況下,由交叉相位調(diào)制引起的調(diào)制不穩(wěn)定性(XMI)的增益公式。并進(jìn)一步通過(guò)MATLAB仿真著重分析了高階色散項(xiàng)對(duì)XMI的產(chǎn)生和其增益譜的影響。 本文的創(chuàng)新點(diǎn)： (1)在超常介質(zhì)中研究交叉相位調(diào)制中的調(diào)制不穩(wěn)定性,首次同時(shí)考慮高階色散和高階非線性效應(yīng)的影響； (2)運(yùn)用分離變量的方法逐個(gè)分析高階色散系數(shù)對(duì)調(diào)制不穩(wěn)定性的增益譜的影響。
[Abstract]:Cross phase modulation (XPM) instability means that when two or more beams of light with different wavelengths propagate in a medium, some modulation instability will occur due to the nonlinear interaction between the beams. Optical switching and non-reciprocity effects have been applied in optical communication devices. The supernormal medium, especially the left-handed material, was prepared in 2000. Because its dielectric constant and permeability are negative at the same time, it has the outstanding property which the general material does not have, which has attracted the attention of many researchers at home and abroad. Moreover, the electromagnetic properties in the supernormal medium are dispersive, which makes some theories in the conventional medium no longer applicable in the supernormal medium. Therefore, it is necessary to study the instability of cross phase modulation in supernormal medium. The main factors affecting modulation instability are nonlinear effect and dispersion. The study of modulation instability in conventional nonlinear materials is perfect, but the cross-phase modulation in supernormal medium is still confined to the study of low order group velocity dispersion and low order nonlinearity. Lack of further research on higher order group velocity dispersion and high order nonlinear term. Therefore, it is necessary to further study the effects of higher order dispersion and high order nonlinearity on cross phase modulation instability in supernormal media. Starting from the extended coupled nonlinear Schrodinger equations and based on the lossless Drude dispersion model in supernormal media, this paper studies the propagation of two beams of co-propagating optical waves in supernormal media with high order dispersion and third and fifth order nonlinearity. The gain formula of modulation instability (XMI) caused by cross phase modulation is derived when both group velocity dispersion and third order dispersion are not equal and both are equal. Furthermore, the effect of higher-order dispersion on the generation and gain spectrum of XMI is analyzed by MATLAB simulation. The innovations of this paper are as follows: (1) the modulation instability in cross-phase modulation is studied in supernormal medium, and the effects of high-order dispersion and high-order nonlinear effect are considered for the first time; (2) the influence of higher order dispersion coefficient on the gain spectrum of modulation instability is analyzed one by using the method of separating variables.
【學(xué)位授予單位】：華東師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類(lèi)號(hào)】：TN761

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