光场及原子-光场耦合的非线性对腔内原子辐射谱的影响

研究了包括任意的光场非线性和原子光场非线性依赖强度耦合J-C(Jaynes-Cummings)模型中单原子的辐射谱,分析了上述非线性对辐射谱的影响.结果表明,原子的辐射谱强烈地依赖于光场的非线性项R(a⁺a)及原子光场非线性耦合因子f(a⁺a)的形式,其谱结构与标准J-C模型中原子的辐射谱明显不同.当腔内充满的非线性介质使得f(a⁺a)=1/(a⁺a)^1/2时,对于任意的初始光场态,辐射谱总是显示 关键词： 辐射谱 非线性耦合     

光学微腔中倍频光场演化和光谱特性

在考虑光学微腔中二阶和三阶非线性效应的情况下,引入了可同时描述腔内基频和倍频光场的演化过程的Lugiato-Lefeve方程,分析了SiN微腔中二次谐波的产生,并讨论了各参数对腔内基频和倍频光场的影响.理论分析结果表明,失谐参量为0时,稳定后的基频光场为平顶脉冲的形式,而倍频光场呈正弦分布;失谐参量增加,将导致腔内基频和倍频光功率在演化过程中出现振荡,且最终稳定的光功率变弱,稳定后的光场分布为周期性变化;失谐参量的值过大,会使得微腔光场处于混沌状态.抽运光强较弱时,腔内可形成稳定的光场分布;抽运光强较强时,会导致腔内色散以及非线性效应过强,最终稳定的光场仍然呈周期性变化,且抽运光功率越强,光功率的演化曲线振荡越强.此外,选取特定的微腔尺寸,微腔可工作于"图灵环"状态.理论分析结果对研究光学微腔中二次谐波的产生有重要意义.     

孔耦合自由电子激光振荡器的数值模拟方法

针对孔耦合波导自由电子激光振荡器腔内光场横向特性,应用有限元法于慢变光场方程,并对输出腔镜上孔耦合过程加以较准确的描述,而后通过对数值结果的分析比较,说明这一模拟方法较好地描述了孔耦合引起的腔内光场横向结构的变化发展特性,改善了模拟结果。     

光束三阶非线性效应的混沌理论研究

介质的三阶非线性性质会引起光场的非线性相移,而这类介质中当光强及介质的特性参数满足一定条件时,可以使光场的演化进入混沌的状态。从麦克斯韦方程组出发,推导了基于介质三阶非线性效应的麦克斯韦-布洛赫方程,并将其转化为归一化的洛伦兹方程形式。利用此方程,数值模拟了光场稳态及混沌态的演化过程。研究结果表明,三阶非线性介质中光场的演化可以进入混沌状态,这种状态对于控制材料中如自聚焦等有害的三阶非线性效应是不利的。     

非线性自加速光场及其应用

近年来，艾里光束/脉冲等光场因其独特的自加速传输特性以及在诸多应用中表现出的优势引起了人们极大的研究兴趣。但在非线性环境中，这类光场却面临失去其特殊结构以及加速特性的困境。为了解决这一问题，非线性自加速光场应运而生，使得非线性过程具有加速的特质。本文基于作者近期的工作回顾了非线性自加速光场的研究进展。首先讨论了它们的物理图像以及它们与艾里光场的联系，其次详细介绍了自加速特性在非线性调控、非线性响应函数的可视化以及光控光中的独特应用优势，最后介绍了一种新式的光场自加速行为|| 可类比于经典力学中正负质量物质的相互作用过程。这些非线性自加速光场可让非线性动力学过程在弯曲时/空发生，能引起平坦空间无法实现的新现象与新应用。     

耦合光学微腔的频率调谐过程分析

不同的频率失谐会在耦合光学微腔激发出不同的工作模式.以两个耦合光场的非线性薛定谔方程为理论模型,分别研究了失谐参量正调谐和负调谐过程中微腔内光场的变化.理论分析结果表明,在正失谐区域中,腔内光场可由多脉冲形式演变为亮孤子,但亮孤子存在范围较小,当失谐参量过大时,腔内光场会演化为直流分布.在负失谐区域,腔内可以形成较高功率"图灵环"形式的光场.当耦合微腔没有发生频率失谐,或者失谐参量接近0时,腔内只能形成混沌形式的光场分布.当耦合微腔内激发出光孤子后,通过选取合适的失谐参量和抽运功率,可在腔内维持稳定的亮孤子.此外还可通过继续调谐第一个微腔的失谐参量,将亮孤子转变为低功率的"图灵环".理论分析结果对耦合微腔的实验研究具有重要意义.     

脉冲光通过非线性法布里—珀罗腔后的分岔与混沌

本文研究了脉冲光通过含非线性介质的法布里-珀罗(Fabry-Perot)腔后透射输出的分岔与混沌行为,与恒定光输入非线性法布里-珀罗腔后的分岔与混沌分析基本相符。     

耦合双原子与非线性相干态相互作用模型的腔场谱

研究了两个偶极 偶极相互作用的全同二能级原子与高Q腔内非线性相干态光场相互作用过程的腔场谱 .讨论了原子间耦合强度、初始场光子数分布和初始场强度的改变对光谱结构的影响.     

非线性含磁芯线圈的PSpice模拟

 将感应加速腔的磁芯回路视为一段单匝的非线性电感线圈,利用PSpice的一些通用元器件组成的子电路对含有磁芯的非线性线圈进行模拟，使其具有饱和、磁滞及频率损耗等非线性特征。通过一些直观的参数设置，可使线圈模型适用于不同的频率范围。介绍了利用线圈模型对直线感应加速器加速组元系统的模拟，得到了与实验相符合的结果。     

Kerr介质腔中非线性J-C模型的腔场谱

研究了Kerr介质腔中非线性J-C模型的腔场谱.导出了初始光场处于任意量子态时腔场谱的计算公式,给出了光场处于数态、相干态和压缩真空态时的数值结果,讨论了Kerr效应和初始场强对腔场谱的影响.发现在光子数态的情况下,n≠1时均为2峰结构,Kerr介质使得中心频率按x(2n-1)的规律向高频方向移动,并破坏谱结构的双峰对称性;在相干态和压缩真空态情况下,当Kerr效应较弱时,非线性J-C模型中腔场谱的非经典特性较为突出,Kerr效应较强时,呈现多峰结构,谱的结构特征主要由Kerr效应决定,由于原子与腔场的耦合被抑制,腔场谱的非线性特征趋于消失.     

Effects of inversionless lasing in two-level media from the point of view of specificities of the spatiotemporal propagation dynamics of radiation

We report the results of computer simulation of the emission of radiation by an extended two-level medium in a ring cavity. The cases of using strong external monochromatic, quasi-monochromatic, and biharmonic radiation for pumping the two-level medium are analyzed. It is shown that the emission of radiation with spectral content different from that of the pump radiation, which is interpreted as the inversionless oscillation, is the result of the spatiotemporal dynamics of light propagation in an extended two-level medium imbedded in a cavity. The appearance of this radiation is not related to known resonances of amplification of a weak probe field in a thin layer of the two-level system (the effect of inversionless oscillation) induced by strong resonance monochromatic or biharmonic field, as was thought before.     

Preparation of Squeezed State and Entanglement State Between VibrationalMotion of Trapped Ion and Light

Several schemes have been proposed to prepare two-mode squeezed state and entanglement state between motional states of a single trapped ion and light. Preparation of two-mode squeezed state is based on interaction of a trapped ion located in light cavity with cavity field. Preparation of entanglement state is based on interaction of a trapped ion located in light cavity with cavity field and a traveling wave light field.     

Collective cooling and self-organization of atoms in a cavity

We theoretically investigate the correlated dynamics of N coherently driven atoms coupled to a standing-wave cavity mode. For red detuning between the driving field and the cavity as well as the atomic resonance frequencies, we predict a light force induced self-organization of the atoms into one of two possible regular patterns, which maximize the cooperative scattering of light into the cavity field. Kinetic energy is extracted from the atoms by superradiant light scattering to reach a final kinetic energy related to the cavity linewidth. The self-organization starts only above a threshold of the pump strength and atom number. We find a quadratic dependence of the cavity mode intensity on the atom number, which demonstrates the cooperative effect.     

Squeezing via coupling of Bose--Einstein condensates in a double-well potential with a cavity light field

Squeezing via the interaction between the cavity light field and the Bose Einstein Condensate （BEC） in a doublewell potential is considered within the context of the two-mode approximation. For the cavity light field initially in a coherent state, it is shown that by choosing appropriate parameters, quadrature squeezing of the cavity light field can be achieved and it exhibits periodic oscillation. We also study the case in which BEC is tuned to resonance by periodically modulating the trapping potentiaL and the quadrature squeezing of the cavity field exhibits periodic collapse and revival effect. Both analytic and numerical calculations are performed, and they are found to be in good agreement with each other. The result shows that the quantum statistical properties of the cavity light field can be manipulated by its coupling with the condensates in the double-well potential. On the other hand, dynamical properties of the condensates in the double-well potential will be reflected by the quadrature squeezing of the light field.     

Dynamics in a tightly-focused end-pumped solid-state laser near degenerate cavity configurations

We numerically study the dynamics of a tightly-focused end-pumped solid-state laser near the degenerate cavity configurations by using the Collins integral together with a rate equation. We find that the field and gain adjust their distributions to exhibit the temporal rather than spatiotemporal instabilities in spite of the coupling of many transverse modes. These instabilities are attributed to the frequency locking but phase unlocking of the degenerate Laguerre-Gaussian modes. The phase portrait is plotted in the three dimensional space with gain, real part, and imaginary part of the field because of similar dynamics for every transverse point. Both of the portrait and the Poincare map show the peculiar features. Moreover, the route to chaos is the mixed effect of period-doubling and quasi-period as the cavity length is tuned.     

耗散腔中双原子与光场的纠缠演化特性

采用全量子理论方法,研究了处于耗散腔中的双原子与单模相干光场相互作用系统,分析了双原子与光场之间以及两原子之间的纠缠演化特性,讨论了腔场的衰减以及原子与光场间的失谐量对双原子与光场之间以及两原子之间纠缠演化特性的影响.结果表明,当腔场存在损耗时,原子与光场之间可出现纠缠,但在长时极限下,纠缠逐渐消灭|而失谐量对原子与光场间的纠缠存在着显著影响|初始处于最大纠缠的两原子之间的纠缠,由于光场的衰变而逐渐减弱,但原子-光场之间的失谐可抑制这一衰减.     

选择原子测量对原子与光场纠缠特性的影响

考虑将初始处于纠缠态的一个原子注入处于Fock态的单模腔中,并且原子与光场发生共振相互作用的情况,采用Negativity熵来描述两子系统间的纠缠,运用数值计算方法研究了腔内原子与光场间的纠缠特性.通过是否进行原子态选择性测量情况下,对腔内原子与光场间的纠缠特性的比较,讨论了腔外原子的测量对纠缠特性的影响.研究结果表明...     

基于矢量光场的TeO2晶体旋光特性研究

矢量光场在其传输和与物质相互作用过程中,光场状态的时空演化区别于传统偏振光,具有独特的矢量化特征。研究了晶体二氧化碲（TeO₂）对于径向偏振矢量光场的调控特征,通过斯托克斯参量的测量,分析了3个晶体样品的偏振态演化规律,揭示了TeO₂晶体的旋光特性,表明其可以起到和双λ/2波片相同的偏振调控效果。研究结果有助于理解矢量光场在双折射晶体中的传输特性,促进矢量光场相关晶体器件的设计与应用。     

Spatiotemporal dynamics of femtosecond pulses in nonlinear optical waveguides with material dispersion

The effect of the second-order dispersion on the spatiotemporal dynamics of ultrashort pulses in nonlinear waveguides with infinite parabolic and stepped profiles of the refractive index is studied. It is shown that the leakage of radiation from the core to the cladding of step-index waveguides prevents the formation of a steady spatiotemporal distribution of the field. The possibility of compressing light pulses in a dielectric waveguide with a positive group-velocity dispersion is discussed.     

Dynamic photoelastic analysis by optical heterodyne polarimetry

This paper describes the mapping of the spatiotemporal principal stress distribution evolved with time in an epoxy photoelastic sample. In the optical heterodyne polarimeter exploited, the signal beam of light transmitted by the sample under continuously loaded condition is photomixed with the local oscillator beam of light made up of orthogonal linearly polarized two-frequency components. Every pixel of a MOS video camera used generates a beat photocurrent that possesses the two orthogonal field components of the elliptically polarized signal beam. The spatiotemporal principal stress distributions can be uniquely determined simultaneously and independently from these two orthogonal field components, and are successfully mapped in a time-sequential form. The spatial and temporal resolutions in the maps are 0.18 mm and 2.9 ms, respectively.