超常介質(zhì)中高階色散對(duì)高斯脈沖傳輸?shù)挠绊?/H1>
發(fā)布時(shí)間：2018-01-23 08:45
本文關(guān)鍵詞： 超常介質(zhì) 色散 非線性薛定諤方程 脈沖傳輸 色散補(bǔ)償 出處：《華東師范大學(xué)》2017年碩士論文 論文類型：學(xué)位論文
【摘要】：作為一種人造材料,超常介質(zhì)具有獨(dú)特的色散特性。與常規(guī)介質(zhì)相比,其介電常數(shù)和磁導(dǎo)率都是色散的。它是由金屬或塑料材料共同組合而成的一種復(fù)合材料,其微觀結(jié)構(gòu)通常是周期性排列的陣列結(jié)構(gòu),且單元尺寸一般小于作用其上的電磁波(光波)的波長(zhǎng)尺度。正是這種周期性陣列結(jié)構(gòu)使得超常介質(zhì)的色散很大,我們的研究發(fā)現(xiàn)超常介質(zhì)的各階色散比常規(guī)介質(zhì)相應(yīng)色散大約3個(gè)數(shù)量級(jí)(2.5節(jié))。這使得超常介質(zhì)不僅具有很強(qiáng)的群速度色散,同時(shí)也具有很強(qiáng)的高階色散。因?yàn)樯⑾拗屏斯饷}沖的傳輸距離和系統(tǒng)的比特率,導(dǎo)致通信容量下降,所以在高階色散作用下的信號(hào)傳輸問題中研究并控制色散是很有必要的。近來納米制造技術(shù)的飛快發(fā)展和超常材料制造技術(shù)的突破使得人們有可能根據(jù)需求獲得想要的介質(zhì)特性[4-6],并發(fā)展出新的色散補(bǔ)償技術(shù)。這是因?yàn)槌＝橘|(zhì)的色散特性依賴于電和磁的等離子頻率,所以這種可重構(gòu)特性使得調(diào)制電、磁等離子頻率、色散的管理和控制成為可能。本文以超常介質(zhì)在通信領(lǐng)域的應(yīng)用為背景,研究了高階色散作用下脈沖在超常介質(zhì)中的傳輸問題及色散補(bǔ)償問題。采用的方法步驟以及研究得出的主要結(jié)果如下:(1)從麥克斯韋方程組和無損耗Drude模型出發(fā),推導(dǎo)了單光束脈沖在超常介質(zhì)中傳輸所滿足的非線性薛定諤方程,并對(duì)比了超常介質(zhì)中色散與常規(guī)介質(zhì)中色散,發(fā)現(xiàn)超常介質(zhì)中各階色散均比常規(guī)介質(zhì)大約3個(gè)數(shù)量級(jí)。(2)采用分步傅里葉方法求解脈沖在超常介質(zhì)中的傳輸問題,分析了超常介質(zhì)中各階色散以及啁啾參量對(duì)脈沖傳輸?shù)挠绊?發(fā)現(xiàn):(i)群速度色散不僅會(huì)引起脈沖的展寬,而且它的符號(hào)還會(huì)影響由三階色散引起的脈沖分裂峰的位置,并使四階色散具有不同的影響效果;(ii)啁啾參量也會(huì)加劇脈沖的分裂。(3)研究了色散系數(shù)對(duì)超常介質(zhì)中結(jié)構(gòu)參數(shù)的依賴關(guān)系,找到了兩種具有完全相反的群速度色散、而三階色散卻十分相近的超常介質(zhì),使得脈沖在三階色散明顯起作用前獲得了近乎完美的二階色散補(bǔ)償。
[Abstract]:As a kind of artificial material, supernormal medium has unique dispersive property. Compared with conventional medium, its dielectric constant and permeability are dispersive. It is a composite composed of metal or plastic materials. The microstructures are usually array structures arranged periodically, and the cell size is generally smaller than the wavelength scale of electromagnetic waves (light waves) acting on them. It is this periodic array structure that makes the dispersion of supernormal medium very large. We find that the dispersion of supernormal medium is about 3 orders of magnitude and 2.5 knots than that of conventional medium, which makes the supernormal medium not only have strong group velocity dispersion. At the same time, it also has strong high-order dispersion, because dispersion limits the transmission distance of optical pulse and the bit rate of the system, which leads to the decrease of communication capacity. Therefore, it is necessary to study and control dispersion in the signal transmission problem under the action of high order dispersion. The recent rapid development of nanofabrication technology and the breakthrough of supernormal material manufacturing technology make it possible for people to obtain according to the demand. Desired dielectric properties. [This is because the dispersion characteristic of the supernormal medium depends on the plasma frequency of the electricity and magnetism, so the reconfigurable characteristic makes the modulation electricity and the magnetic plasma frequency. It is possible to manage and control dispersion. This paper is based on the application of supernormal media in the field of communication. In this paper, the propagation and dispersion compensation of pulse in supernormal medium under the action of higher order dispersion are studied. The main results are as follows: 1: 1). Based on Maxwell equations and lossless Drude model. The nonlinear Schrodinger equation for the propagation of a single beam pulse in a supernormal medium is derived, and the dispersion in a supernormal medium is compared with that in a conventional medium. It is found that the dispersion of each order of order in the supernormal medium is about 3 orders of magnitude than that in the conventional medium) the fractional Fourier method is used to solve the problem of pulse propagation in the supernormal medium. The effects of the order dispersion and chirp parameters on the pulse propagation in supernormal medium are analyzed. It is found that the dispersion of the group velocity in the 1: 1 group will not only cause the broadening of the pulse. Moreover, its symbol will also affect the position of the split peak caused by third-order dispersion, and make the fourth-order dispersion have different effects. The dependence of dispersion coefficient on structural parameters in supernormal medium is studied. Two kinds of dispersion with completely opposite group velocity dispersion are found. But the third order dispersion is very similar to the supernormal medium, which makes the pulse obtain almost perfect second order dispersion compensation before the third order dispersion is obvious.
【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】：2017
【分類號(hào)】：TB33
【參考文獻(xiàn)】
相關(guān)期刊論文 前5條
1 董佳;靳羽茜;陳誠(chéng);楊榮草;;超常介質(zhì)中精確的亮暗類孤子的傳輸特性[J];量子光學(xué)學(xué)報(bào);2013年02期
2 文雙春;戴小玉;項(xiàng)元江;;超常介質(zhì)非線性光學(xué)研究進(jìn)展[J];中國(guó)激光;2008年06期
3 卓輝;文雙春;;超常介質(zhì)中超短電磁脈沖的傳輸特性研究[J];光學(xué)學(xué)報(bào);2007年08期
4 桑志文;羅開基;柔明煌;王永祥;;三階色散對(duì)光纖中高斯型脈沖傳輸特性的影響[J];量子電子學(xué)報(bào);2005年06期
5 馬中團(tuán),魯擁華,王沛,曹勇,潘必才,明海;左手性材料研究進(jìn)展[J];物理;2004年07期
，
本文編號(hào)：1457212
本文鏈接：http://sikaile.net/kejilunwen/cailiaohuaxuelunwen/1457212.html
本文關(guān)鍵詞： 超常介質(zhì) 色散 非線性薛定諤方程 脈沖傳輸 色散補(bǔ)償 出處：《華東師范大學(xué)》2017年碩士論文 論文類型：學(xué)位論文
【摘要】：作為一種人造材料,超常介質(zhì)具有獨(dú)特的色散特性。與常規(guī)介質(zhì)相比,其介電常數(shù)和磁導(dǎo)率都是色散的。它是由金屬或塑料材料共同組合而成的一種復(fù)合材料,其微觀結(jié)構(gòu)通常是周期性排列的陣列結(jié)構(gòu),且單元尺寸一般小于作用其上的電磁波(光波)的波長(zhǎng)尺度。正是這種周期性陣列結(jié)構(gòu)使得超常介質(zhì)的色散很大,我們的研究發(fā)現(xiàn)超常介質(zhì)的各階色散比常規(guī)介質(zhì)相應(yīng)色散大約3個(gè)數(shù)量級(jí)(2.5節(jié))。這使得超常介質(zhì)不僅具有很強(qiáng)的群速度色散,同時(shí)也具有很強(qiáng)的高階色散。因?yàn)樯⑾拗屏斯饷}沖的傳輸距離和系統(tǒng)的比特率,導(dǎo)致通信容量下降,所以在高階色散作用下的信號(hào)傳輸問題中研究并控制色散是很有必要的。近來納米制造技術(shù)的飛快發(fā)展和超常材料制造技術(shù)的突破使得人們有可能根據(jù)需求獲得想要的介質(zhì)特性[4-6],并發(fā)展出新的色散補(bǔ)償技術(shù)。這是因?yàn)槌＝橘|(zhì)的色散特性依賴于電和磁的等離子頻率,所以這種可重構(gòu)特性使得調(diào)制電、磁等離子頻率、色散的管理和控制成為可能。本文以超常介質(zhì)在通信領(lǐng)域的應(yīng)用為背景,研究了高階色散作用下脈沖在超常介質(zhì)中的傳輸問題及色散補(bǔ)償問題。采用的方法步驟以及研究得出的主要結(jié)果如下:(1)從麥克斯韋方程組和無損耗Drude模型出發(fā),推導(dǎo)了單光束脈沖在超常介質(zhì)中傳輸所滿足的非線性薛定諤方程,并對(duì)比了超常介質(zhì)中色散與常規(guī)介質(zhì)中色散,發(fā)現(xiàn)超常介質(zhì)中各階色散均比常規(guī)介質(zhì)大約3個(gè)數(shù)量級(jí)。(2)采用分步傅里葉方法求解脈沖在超常介質(zhì)中的傳輸問題,分析了超常介質(zhì)中各階色散以及啁啾參量對(duì)脈沖傳輸?shù)挠绊?發(fā)現(xiàn):(i)群速度色散不僅會(huì)引起脈沖的展寬,而且它的符號(hào)還會(huì)影響由三階色散引起的脈沖分裂峰的位置,并使四階色散具有不同的影響效果;(ii)啁啾參量也會(huì)加劇脈沖的分裂。(3)研究了色散系數(shù)對(duì)超常介質(zhì)中結(jié)構(gòu)參數(shù)的依賴關(guān)系,找到了兩種具有完全相反的群速度色散、而三階色散卻十分相近的超常介質(zhì),使得脈沖在三階色散明顯起作用前獲得了近乎完美的二階色散補(bǔ)償。
[Abstract]:As a kind of artificial material, supernormal medium has unique dispersive property. Compared with conventional medium, its dielectric constant and permeability are dispersive. It is a composite composed of metal or plastic materials. The microstructures are usually array structures arranged periodically, and the cell size is generally smaller than the wavelength scale of electromagnetic waves (light waves) acting on them. It is this periodic array structure that makes the dispersion of supernormal medium very large. We find that the dispersion of supernormal medium is about 3 orders of magnitude and 2.5 knots than that of conventional medium, which makes the supernormal medium not only have strong group velocity dispersion. At the same time, it also has strong high-order dispersion, because dispersion limits the transmission distance of optical pulse and the bit rate of the system, which leads to the decrease of communication capacity. Therefore, it is necessary to study and control dispersion in the signal transmission problem under the action of high order dispersion. The recent rapid development of nanofabrication technology and the breakthrough of supernormal material manufacturing technology make it possible for people to obtain according to the demand. Desired dielectric properties. [This is because the dispersion characteristic of the supernormal medium depends on the plasma frequency of the electricity and magnetism, so the reconfigurable characteristic makes the modulation electricity and the magnetic plasma frequency. It is possible to manage and control dispersion. This paper is based on the application of supernormal media in the field of communication. In this paper, the propagation and dispersion compensation of pulse in supernormal medium under the action of higher order dispersion are studied. The main results are as follows: 1: 1). Based on Maxwell equations and lossless Drude model. The nonlinear Schrodinger equation for the propagation of a single beam pulse in a supernormal medium is derived, and the dispersion in a supernormal medium is compared with that in a conventional medium. It is found that the dispersion of each order of order in the supernormal medium is about 3 orders of magnitude than that in the conventional medium) the fractional Fourier method is used to solve the problem of pulse propagation in the supernormal medium. The effects of the order dispersion and chirp parameters on the pulse propagation in supernormal medium are analyzed. It is found that the dispersion of the group velocity in the 1: 1 group will not only cause the broadening of the pulse. Moreover, its symbol will also affect the position of the split peak caused by third-order dispersion, and make the fourth-order dispersion have different effects. The dependence of dispersion coefficient on structural parameters in supernormal medium is studied. Two kinds of dispersion with completely opposite group velocity dispersion are found. But the third order dispersion is very similar to the supernormal medium, which makes the pulse obtain almost perfect second order dispersion compensation before the third order dispersion is obvious.
【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】：2017
【分類號(hào)】：TB33
【參考文獻(xiàn)】
相關(guān)期刊論文 前5條
1 董佳;靳羽茜;陳誠(chéng);楊榮草;;超常介質(zhì)中精確的亮暗類孤子的傳輸特性[J];量子光學(xué)學(xué)報(bào);2013年02期
2 文雙春;戴小玉;項(xiàng)元江;;超常介質(zhì)非線性光學(xué)研究進(jìn)展[J];中國(guó)激光;2008年06期
3 卓輝;文雙春;;超常介質(zhì)中超短電磁脈沖的傳輸特性研究[J];光學(xué)學(xué)報(bào);2007年08期
4 桑志文;羅開基;柔明煌;王永祥;;三階色散對(duì)光纖中高斯型脈沖傳輸特性的影響[J];量子電子學(xué)報(bào);2005年06期
5 馬中團(tuán),魯擁華,王沛,曹勇,潘必才,明海;左手性材料研究進(jìn)展[J];物理;2004年07期
，本文編號(hào)：1457212
本文鏈接：http://sikaile.net/kejilunwen/cailiaohuaxuelunwen/1457212.html
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