结构设计中的混沌优化方法及其改进

在变尺度混沌优化方法研究中．结合结构优化问题的特点，提出了一种改进的混沌优化求解算法，用来解决带有多种约束条件的结构优化设计问题。在有限元分析和优化设计软件JEFIX中实现了上述算法．并通过数值算例讨论了变尺度混沌优化方法在结构优化中的可行性及存在的问题，得到了一些重要结论。     

一类非线性Burgers方程组的基于Hopf-Cole变换的直接间断Galerkin有限元方法

<正>1引言Burgers方程可以作为描述许多物理现象的数学模型,如交通流、激波、扰流问题和连续的随机过程.它还可以用于检验数值方法的效率.由于其具有较广的实用范围,一些学者对其近似解进行了较多的研究.如Adomian分解方法、混合有限差分和边界元方法、样条有限元方法、精确显式有限差分方法、Douglas有限差分格式,直接变分方法和变分迭代方法被用于Burgers方程近似解的研究~([1-13]).Hopf-Cole变换~([14,15])是研究Burgers方程较好的分析工具,利用它可以获得Burgers方程一些精确解.近年来,人们意识到该变换也是一个很好的数值工具并利用其得到了一     

热结构稳态响应的耦合灵敏度分析方法

研究结构稳态热变形和热应力的灵敏度分析方法，给出了直接法和伴随法两种算法。考虑了温度场的耦合作用，在直接法中需要计算温度场对设计变量的导数，在伴随法中需要计算热载荷对温度场的导数。对尺寸和形状两类设计变量的灵敏度分析算例，验证了本文方法的精度。伴随法在应用程序中的实现，为大型结构优化提供了高效率的灵敏度计算方法。     

磁电弹性体中多条位错与Griffith裂纹

根据本征方程，研究磁电弹性体中若干平行螺型位错与Griffith裂纹的相互作用.结合Muskhelishvili方法和算子理论，得到磁电弹性体中由位错和裂纹所诱导的应力场、电场和磁场的解析解.数值算例表明：在裂纹的端点及位错点上仍然存在应力的奇异性，离位错点越远处广义力越小，结论与已有的结果相符，证明了结论的正确性.当位错点与裂纹端点距离越近时，裂纹与位错间的应力场越小，并逐渐趋近于零.     

A new finite difference scheme for a dissipative cubic nonlinear Schr"odinger equation

This paper considers the one-dimensional dissipative cubic nonlinear Schrödinger equation with zero Dirichlet boundary conditions on a bounded domain. The equation is discretized in time by a linear implicit three-level central difference scheme, which has analogous discrete conservation laws of charge and energy. The convergence with two orders and the stability of the scheme are analysed using a priori estimates. Numerical tests show that the three-level scheme is more efficient.     

几种塑料的太赫兹光谱检测

利用太赫兹时域光谱技术测量了聚乙烯、聚丙烯、聚氯乙烯、聚四氟乙烯和丙烯腈-丁二烯-苯乙烯的太赫兹透射谱,研究其在0.2~2.6 THz频段的光谱特性,得到了在室温氮气环境下这些材料的太赫兹吸收谱和折射率色散特性.发现这五种塑料在太赫兹波段的折射率和吸收系数差异显著,折射率分别在1.35~1.85之间,聚乙烯、聚丙烯、聚四氟乙烯吸收很小,相比之下聚氯乙烯、丙烯腈-丁二烯-苯乙烯吸收很大,这为塑料种类的鉴别及高太赫兹透过率塑料衬底选择提供了依据.     

Broadband and high efficiency terahertz metasurfaces for anomalous refraction and vortex beam generation

The applications of metasurfaces are currently a highly active research field due to their extraordinary ability to manipulate electromagnetic waves. The ultra-thin characteristics of metasurfaces allow the miniaturization and integration of metasurface devices. However, these devices work typically under a low efficiency and narrow bandwidth condition. In this work, we design eight multilayered unit cells with similar amplitudes and a phase interval of π/4, which convert the polarization states of the terahertz (THz) waves between two orthogonal directions. The average cross-polarized transmission amplitudes of these cells are all around 0.9 in an ultra-broad frequency range from 0.5 THz to 1.4 THz. Furthermore, unit cells are used to construct both an ultra-thin anomalous refraction metalens and a vortex phase plate. Our simulation results show that the anomalous refraction for the transmitted linear polarization component is comparable to the theoretical prediction, and the maximum error is determined to be below 4.8%. The vortex phase plate can also generate an ideal terahertz vortex beam with a mode purity of 90% and more. The distributions of longitudinal electric field, intensity, and phase illustrate that the generated vortex beam has excellent propagation characteristics and a weak divergence. Simulations of the two types of metasurface devices, based on the eight unit cells, exhibit very high efficiencies in a wide bandwidth. Our research will assist in the improvement in the practical applications of metasurfaces. It also provides a reference for the design of high efficiency and broadband devices that are applied to other frequency ranges.     

磁电弹性体中螺型位错与唇口裂纹的相互作用

研究磁电弹性体中螺型位错与唇口裂纹的相互作用。结合Muskhelishvili方法和干扰技术, 在假定裂纹面具有不可渗透条件下得到磁电弹性体中由位错和唇口裂纹所诱导的应力场、电场和磁场的解析解。应用广义Peach-Koehler公式,得到作用在位错上的影像力。通过数值算例,得到场强度因子的变化规律及影像力和广义力随位错位置的变化规律。     

Multiband Terahertz Photonic Band Gaps of Subwavelength Planar Fractals

Optical transmission properties of subwavelength planar fractals in terahertz （THz） frequency regime are studied by means of time-domain spectroscopy. The transmission spectra with multiple pass bands and stop bands are observed. The tunable photonic band gaps are realized by changing the angle between the principle axis of planar fractal and the polarization of THz wave. The possible application of the subwavelength optical component is discussed. We attribute the detected transmittance from subwavelength fractals to localized resonances.     

不同中心波长飞秒脉冲激发InAs表面辐射太赫兹波的机理研究

研究了p型(100)InAs在不同中心波长飞秒激发光(750—850nm)作用下的太赫兹(THz)波辐射特性.这种太赫兹辐射的光谱性质与光学Dember效应密切相关，飞秒脉冲激发下产生的载流子在InAs表面的Dember场内做加速运动，从而辐射出THz电磁波.实验结果表明：不同中心波长的激发光作用下，InAs表面产生的Dember电场、光生载流子浓度、谷间散射效应以及处于不同状态的载流子数目都发生了变化，因而激发出太赫兹波的功率、振幅、频谱分布和有效谱宽是不同的.这项研究将有利于THz时域光谱技术以及实验