磁各向异性色散介质散射的Padé时域有限差分方法分析

根据矩阵Padé逼近理论，把磁化色散介质的相对磁导率张量表示成以jω为自变量的矩阵函数形式，用/t代替jω后过渡到时域，再引入离散时域移位算子代替时间微分算子.进而导出磁化色散介质中的磁感应强度B和磁场强度H在离散时域的色散关系，并将其具体应用于旋磁介质，得到了这种磁化色散介质的Padé时域有限差分方法的递推表达式.作为验证，用这种方法计算了磁化铁氧体球的后向雷达散射截面，所得结果与文献结果一致.理论推导及算例表明，该方法是正确和有效的. 关键词： 各向异性介质 色散介质 矩阵Padé逼近 时域有限差分方法     

时域飞秒散斑的特性与测量

阐述了飞秒激光脉冲在随机介质传播过程中产生时域散斑的原理,并对时域飞秒散斑进行了测量. 时域飞秒散斑的产生是飞秒脉冲在随机介质中经历多重散射形成的随机干涉现象在时域的体现. 初步讨论了时域散斑的统计特性并给出了相应的实验结果. 关键词： 时域散斑 飞秒脉冲 随机介质     

介电材料参数测量中的时域新方法

本文介绍了一种电介质谱研究中的时域新方法及其测量原理和解谱过程，并给出了三种常用电容器介质的时域测量结果。     

并联介质加载偶极天线脉冲辐射特性的研究

应用FDTD方法和PML技术，对馈电区一侧放置介质块的电阻加载偶极天线的时域辐射特性进行了研究，发现这种天线具有良好的方向性.分析了加载介质块的尺寸和介电常数对脉冲辐射特性的影响，给出了能够产生良好方向性而且辐射效率又不至于很低的天线结构参数.并联介质加载脉冲天线的低轮廓特点使其容易与电路集成，非常适用于UWB这样的超宽带无线通信系统. 关键词： 脉冲天线 辐射特性 介质加载 时域有限差分方法     

光在两层平板介质中传输的时域P3方程

生物表面组织是多层介质,目前只有光在单层介质中传输的P3方程,本文给出了光在两层平板介质中传播的P3方程的时域解,编写蒙特卡罗模拟进行验证。结果表明P3时域方程与蒙特卡罗模拟符合很好,说明双层平板介质的P3方程正确地反映了光子在介质中的迁移。与扩散时域方程相比,在峰值位置附近,P3时域方程测量的反射率和透射率更加准确,在远离峰值时,P3方程与扩散方程结果一致。双层平板介质的P3时域方程扩展了P3方程的应用范围,可以替代扩散方程,也可以代替单层平板介质的P3方程,可以更好地研究光在生物组织中的传播过程。     

二维随机激光器的模式选择及阈值与饱和特性

基于将Maxwell方程与四能级原子系统速率方程相结合而建立起随机激光时域理论，并利用有限时域差分法，研究了二维随机介质中激光模式的输出特性与介质尺寸、外形及抽运速率等参数的关系.结果表明，与传统激光模式相似，随机激光模式的强度随抽运速率的变化不仅具有阈值特性，而且具有饱和特性.基于模式特性对介质及抽运参数的依赖关系，提出了二维随机激光器的选模方式，在很大程度上不同于传统激光器的选模方式. 关键词： 随机激光器 模式选择 无序介质中的光学特性     

用传输线和时域有限差分法计算电缆X射线响应

 介绍了时域传输线和时域有限差分两种计算电缆X射线瞬态响应的方法，并利用电缆芯线总电荷以及介质层的电荷分布，结合实验结果，分别给出了时域传输线模型中的电流源和时域有限差分模型中电流密度的计算方法。作为例子，在60 keV单能X射线垂直于电缆轴向辐照的条件下，采用两种方法计算了电缆两端接匹配负载时负载上的电流响应；采用传输线方法计算了不同能量X射线辐照电缆时的芯线负载电流响应。计算结果表明，两种方法计算的电缆X射线瞬态响应是一致的；电缆介质层中存在静电场；X射线能量不同时，电缆芯线负载电流存在最大值。计算中，电缆与X射线的作用采用蒙特卡罗方法计算。     

一种处理色散介质问题的通用时域有限差分方法

色散介质的介电系数是频率的函数,使本构关系在时域成为卷积关系.这就给用时域有限差分方法计算色散介质中波的散射和传播带来了困难.现有算法往往要针对不同色散介质模型推导相应的递推公式,算法的通用性较差.本文完善和发展了移位算子-时域有限差分方法,使之成为一种处理色散介质电磁问题的通用方法.首先,证明了常见的三种色散介质模型(德拜模型、洛伦兹模型和德鲁模型)的介电系数均可以写成适于移位算子法计算的有理分式函数形式.然后,用/t代替jω,过渡到时域,再引入时域移位算子z_t代替时间微分算子来处理有理分式函数形式的介电系数,给出离散时域本构关系的表示式,进而导出时域有限差分方法当中电位移矢量和电场强度之间的关系.最后,计算了几种色散介质的电磁散射,数值结果表明了本文方法和程序的通用性和正确有效性. 关键词： 时域有限差分方法 色散介质 移位算子     

各向异性磁化等离子体涂敷三维导体目标FDTD分析

把电流密度卷积-时域有限差分法(JEC-FDTD)推广应用于三维各向异性色散介质——磁化等离子体中，该算法同时解决了电磁波在各向异性和频率色散介质中传播的难题，给出了各向异性磁化等离子体中JEC-FDTD迭代公式.计算了各向异性磁化等离子体涂敷二面角反射器和球锥体后其RCS的变化情况，分析了电子回旋频率对其RCS的影响.计算结果表明磁化等离子体吸收性能更好. 关键词： 时域有限差分方法 各向异性磁化等离子体     

用FDTD计算各向异性磁化等离子体涂敷二维目标的RCS

采用z变换方法把时域有限差分方法(FDTD)推广应用于二维各向异性色散介质—磁化等离子 体中，该算法同时解决了电磁波在各向异性和频率色散介质中传播的计算问题，给出了各向 异性磁化等离子体中FDTD迭代公式.计算了各向异性磁化等离子体涂敷导体圆柱前后其雷达 散射截面(RCS)的变化情况，分析了等离子体碰撞频率和电子回旋频率对其RCS的影响. 关键词： 时域有限差分方法 各向异性磁化等离子体     

The application of Gaussian beam. Formalism to optical propagation in nonlinear media

The nonlinear propagation problem of optical beams in media with an intensity dependent indices of refraction is solved in the case of a fundamental gaussian beam. This solution is made possible by assuming everywhere along the propagation path a quadratic index profile. The quadratic constant is obtained self-consistently from the second term in a Taylor expansion of the local gaussian intensity. The solution constitutes an extension of the well known ABCD formalism to nonlinear propagation.     

Elliptic X-shaped light bullets

Elliptic X-shaped light bullets, which are generated as nondiffraction elliptic Bessel-like beams with central humps of elliptical shape during the propagation of asymmetric input ultrashort pulses in normal dispersive quadratic media, are demonstrated to be quite stable against wave-packet breakup due to asymmetric input or anisotropic diffraction. Walking elliptic X-shaped light bullets can be observed without spatial wave-packet breakup for strongly coupled fundamental-wave and second-harmonic ultrashort pulses with nonvanishing group-velocity mismatch.     

Dynamics of ultimately short pulses in partially absorbing media

Propagation of broad-band ultimately short light pulses in a partially absorbing medium is analyzed in the framework of the three-level model. Nonlinear wave equations are obtained describing propagation of light pulses in media with quadratic (all three transitions are allowed) or cubic (one of the transitions is forbidden) nonlinearity in the range of optical transparency or with the sine-Gordon-type nonlinearity in the region of absorption. Using the averaged variational principle, the approximate solutions of equations in the form of unipolar soliton-like signals are found and conditions of their transverse stability are determined. A stable propagation of a broad-band pulse is shown to be possible under conditions when monochromatic signals exhibit self-focusing.     

Spontaneously generated walking X-shaped light bullets

In quadratic nonlinear media with normal dispersion and nonvanishing group velocity mismatch between fundamental wave and second-harmonic pulses, the wave packets of two harmonics can be locked together in propagation in the form of walking X-shaped light bullets. The output wave packets are developed into X-shaped light bullets with significant group delay time due to mutual dragging and significant shifting in spatiotemporal spectrum due to delayed nonlinear phase shift. We also show that spontaneously generated phase-front tilting can balance the dragging force induced by group velocity mismatch and lead to zero-velocity walking X-shaped light bullets.     

Slow-light optical bullets in arrays of nonlinear Bragg-grating waveguides

We demonstrate that propagation direction and velocity of optical pulses can be controlled independently in the structures with multiscale modulation of the refractive index in transverse and longitudinal directions. We reveal that, in arrays of waveguides with phase-shifted Bragg gratings, the refraction angle does not depend on the speed of light, allowing for efficient spatial steering of slow light. In this system, both spatial diffraction and temporal dispersion can be designed independently, and we identify the possibility for self-collimation of slow light when spatial diffraction is suppressed for certain propagation directions. We also show that broadening of pulses in space and time can be eliminated in nonlinear media, supporting the formation of slow-light optical bullets that remain localized irrespective of propagation direction.     

High-energy pulse compression by use of negative phase shifts produced by the cascade chi((2)):chi((2)) nonlinearity

We report a simple optical pulse-compression technique based on quadratic nonlinear media. Negative nonlinear phase shifts are generated by phase-mismatched second-harmonic generation, and the phase-modulated pulses are then compressed by propagation through materials with normal dispersion. Millijoule-energy pulses from a Ti:sapphire amplifier are compressed from 120 to 30 fs, and calculations indicate that compression ratios of >10 are realistically achievable by use of this approach with optimal materials. The insertion loss of the compressor can be less than 10% of the pulse energy, and scaling to higher pulse energies will be straightforward.     

Passive mode-locking upon limitation of the spectral width of a laser emission

An analysis is presented of passive locking of modes in lasers with an additional intracavity element that limits the spectral width of a laser emission due to frequency dispersion of an order higher than quadratic. It is found that spectral limitation of this type may give rise to a multiple-pulse regime of passive mode-locking. The laser mode of operation established after a transient process, in this case, appears to be multistable, with the number of pulses per axial period being dependent on the initial conditions of the lasing. It is shown that the dependence of the number of pulses on the pump power is of hysteretic character. The theoretical analysis and numerical simulation are carried out using an equation close to the Ginzburg-Landau equation. Specifically, the nonlinear losses and nonlinear refractive index are supposed to be inertia-less and proportional to the light intensity; the frequency dispersion of the gain and the refractive index are approximated by a quadratic dependence; and the frequency-dependent losses related to the additional spectral limitation of the laser emission are determined by fourth-order frequency dispersion. The possibility of using the characteristic features of mode-locking predicted for control of regimes of formation and propagation of ultrashort light pulses is discussed.     

啁啾光脉冲在类时间透镜介质中的传播

利用空间－时间类似和光线光学方法得到啁啾高斯光脉冲在类时间透镜介质中传播的解析解，讨论了光脉冲宽度和啁啾参数随传播距离的演变，并与光脉冲在克尔介质中传播的特征作了比较。     

Generalized nonlinear Schrödinger equation for dispersive susceptibility and permeability: application to negative index materials

A new generalized nonlinear Schr?dinger equation describing the propagation of ultrashort pulses in bulk media exhibiting frequency dependent dielectric susceptibility and magnetic permeability is derived and used to characterize wave propagation in a negative index material. The equation has new features that are distinct from ordinary materials (mu=1): the linear and nonlinear coefficients can be tailored through the linear properties of the medium to attain any combination of signs unachievable in ordinary matter, with significant potential to realize a wide class of solitary waves.