稳态光折变空间光孤子的研究
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摘要
本文主要对稳态光折变空间光孤子进行了理论和实验研究。从光折变原理出发，阐述了光折变空间光孤子的形成机理。理论上证明了稳态光折变空间光孤子的研究可以转化为屏蔽光伏孤子的研究。得出了一维稳态光折变空间光孤子的演化方程，在适当的条件下，这个方程可以得出亮、暗和灰孤子的解。
给出了中心对称光折变晶体中屏蔽孤子的高阶空间电荷场。当高阶项可以忽略时，这个电荷场就变为早前在中心对称光折变晶体中研究的屏蔽孤子的空间电荷场。研究了中心对称光折变晶体中屏蔽孤子的高阶非线性波动方程。在适当的条件下，这个非线性波动方程能够展示亮暗空间光孤子。应用光束传播的方法，对这些孤子的稳定性进行了讨论。表明在小的微扰下这类孤子是稳定的。
提出了有偏压光伏光折变晶体中存在着亮暗矢量孤子，应用光束传播的方法讨论了这些亮暗矢量孤子的稳定性。当σ>0和(β+α-δ)＞0时，在(β+α-δ)小于某一值的区域内，这些亮暗矢量孤子是稳定的，其中，σ是控制两光束强度的参数，β是与外偏压有关的参数，α和δ是与晶体的光伏系数有关的参数。当σ＜0和(β+α-δ)＜0时，在(β+α-δ)大于某一值的区域内，这些亮暗矢量孤子也是稳定的。
理论研究了在有偏压的光折变光伏晶体中稳态条件下的宽光束的一维调制不稳定性。通过全面的处理空间电荷场E_0和考虑空间电荷场E_0在局域和非局域条件下的区别，得到了一维的调制不稳定增长率。其中E_0是与空间电荷场有关的一个常数，它依赖于外电场、光伏效应、光强与暗辐射之比。局域条件下的一维调制不稳定增长率可以从非局域条件得到。当光伏效应忽略时，一维调制不稳定增长率就是以前人们在光折变非光伏晶体中所研究的局域和非局域的调制不稳定增长率。当外电场缺乏时，预言了在开路和闭路条件下的光折变光伏晶体中局域和非局域的一维调制不稳定增长率。
利用相位掩模在LiNbO_3∶Fe晶体中实验观察到了相干和部分非相干的一维和二维暗光伏孤子。据我们所知，这是首次在各向异性的光伏光折变晶体中实验
This dissertation describes theoretical and experimental research on steady-state photorefractive spatial solitons. Starting from the photorefractive effect, we explain in detail the self-trapping mechanism of steady-state photorefractive spatial soliton. We theoretically show that the study of steady-state photorefractive spatial solitons can be changed into that of screening photovoltaic photorefractive spatial solitons. The evolution eqations of one-dimension steady-state photorefractive spatial soliton are derived. Under appropriate conditions, our analysis indicates the wave equation can be exhibited bright, dark as well as gray spatial solitons.
The space-charge field with a higer-order nonlinearity in biased centrosymmetric photorefractive media is presented. When the higer-order term can be neglected, this space-charge field is that studied previously in biased centrosymmetric photorefractive media. The nonlinear wave equation with a higer-order nonlinearity is investigated in biased centrosymmetric photorefractive media, which can exhibit bright and dark spatial solitons under appropriate conditions. The stability of these spatial solitons is discussed using beam propagation methods, and it has been found that optical spatial solitons in biased centrosymmetric photorefractive media are stable against small perturbations in amplitude not broken up.
The bright dark vector spatial solitons are presented in biased photorefractive photovoltaic crystals. The stability of these bright dark vector solitons is discussed
using a beam propagation method. When σ> 0 and (β + α -δ) > 0 , where σ is the parameter cont rolling the intensities of the two optical beams , α and δ are the parameters related to the photovoltaic constant, and β is the parameter related to external electric field , these bright dark vector solitons are stable in the regime of (β + α-δ) being less than a certain value. When σ < 0 and (β + α - δ) < 0 ,
给出了中心对称光折变晶体中屏蔽孤子的高阶空间电荷场。当高阶项可以忽略时，这个电荷场就变为早前在中心对称光折变晶体中研究的屏蔽孤子的空间电荷场。研究了中心对称光折变晶体中屏蔽孤子的高阶非线性波动方程。在适当的条件下，这个非线性波动方程能够展示亮暗空间光孤子。应用光束传播的方法，对这些孤子的稳定性进行了讨论。表明在小的微扰下这类孤子是稳定的。
提出了有偏压光伏光折变晶体中存在着亮暗矢量孤子，应用光束传播的方法讨论了这些亮暗矢量孤子的稳定性。当σ>0和(β+α-δ)＞0时，在(β+α-δ)小于某一值的区域内，这些亮暗矢量孤子是稳定的，其中，σ是控制两光束强度的参数，β是与外偏压有关的参数，α和δ是与晶体的光伏系数有关的参数。当σ＜0和(β+α-δ)＜0时，在(β+α-δ)大于某一值的区域内，这些亮暗矢量孤子也是稳定的。
理论研究了在有偏压的光折变光伏晶体中稳态条件下的宽光束的一维调制不稳定性。通过全面的处理空间电荷场E_0和考虑空间电荷场E_0在局域和非局域条件下的区别，得到了一维的调制不稳定增长率。其中E_0是与空间电荷场有关的一个常数，它依赖于外电场、光伏效应、光强与暗辐射之比。局域条件下的一维调制不稳定增长率可以从非局域条件得到。当光伏效应忽略时，一维调制不稳定增长率就是以前人们在光折变非光伏晶体中所研究的局域和非局域的调制不稳定增长率。当外电场缺乏时，预言了在开路和闭路条件下的光折变光伏晶体中局域和非局域的一维调制不稳定增长率。
利用相位掩模在LiNbO_3∶Fe晶体中实验观察到了相干和部分非相干的一维和二维暗光伏孤子。据我们所知，这是首次在各向异性的光伏光折变晶体中实验
This dissertation describes theoretical and experimental research on steady-state photorefractive spatial solitons. Starting from the photorefractive effect, we explain in detail the self-trapping mechanism of steady-state photorefractive spatial soliton. We theoretically show that the study of steady-state photorefractive spatial solitons can be changed into that of screening photovoltaic photorefractive spatial solitons. The evolution eqations of one-dimension steady-state photorefractive spatial soliton are derived. Under appropriate conditions, our analysis indicates the wave equation can be exhibited bright, dark as well as gray spatial solitons.
The space-charge field with a higer-order nonlinearity in biased centrosymmetric photorefractive media is presented. When the higer-order term can be neglected, this space-charge field is that studied previously in biased centrosymmetric photorefractive media. The nonlinear wave equation with a higer-order nonlinearity is investigated in biased centrosymmetric photorefractive media, which can exhibit bright and dark spatial solitons under appropriate conditions. The stability of these spatial solitons is discussed using beam propagation methods, and it has been found that optical spatial solitons in biased centrosymmetric photorefractive media are stable against small perturbations in amplitude not broken up.
The bright dark vector spatial solitons are presented in biased photorefractive photovoltaic crystals. The stability of these bright dark vector solitons is discussed
using a beam propagation method. When σ> 0 and (β + α -δ) > 0 , where σ is the parameter cont rolling the intensities of the two optical beams , α and δ are the parameters related to the photovoltaic constant, and β is the parameter related to external electric field , these bright dark vector solitons are stable in the regime of (β + α-δ) being less than a certain value. When σ < 0 and (β + α - δ) < 0 ,
引文
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