正交各向异性板液/固界面的声反射与声透射

采用Legendre正交多项式法,对液/固界面声波反射和透射系数进行求解。利用Legendre正交多项式对正交各向异性板中的位移解进行展开,推导出板中的应力和波动控制方程。联立液/固界面的边界条件和波动控制方程,建立线性无关方程组,用以计算液/固界面的反射和透射系数及Legendre多项式的展开系数,计算所得铝板液/固界面的反射和透射系数与传递矩阵法的计算结果吻合良好。以单向纤维增强复合材料板为例,在不同的方位角下,分析了反射和透射系数随斜入射角度、入射波频率的变化关系,以及板中声场的位移分布。所取Legendre正交多项式截止阶数越大,可用来计算的频厚积范围越大。研究拓展了Legendre正交多项式法的适用范围,为材料力学性能的声学测量提供了理论基础。     

双相多孔锂离子电池液/固界面的声反射与声透射

采用传递矩阵法,同步联立改进的Biot理论,对含液固界面的双相多孔锂离子电池的超声反射与透射系数进行理论求解。考虑锂离子的摇摆特性对电极力学性能的影响,计算了对应状态下液/固界面的双相多孔锂离子电池声反射及透射系数的角度谱与频率谱。同时,构建了不同荷电状态时含单元锂离子电池的频域仿真模型,以萃取对应的超声反射及透射角度谱及频率谱,并与理论计算结果对比吻合良好。随后,以多单元锂离子电池为例,在不同的荷电状态下,分析了反射与透射系数随斜入射角度、入射波频率的变化关系,并分别指出了其角度谱及频率谱特征点随荷电状态的变化特征,为锂离子电池运行状态的超声无损测量提供了理论基础。     

有限入射声束在液固界面声反射的数值研究

采用将有限声束分解为一系列平面波的方法，对液固界面声束的声反射问题进行了数值研究，结果表明，当声束入射角为瑞利疲激角时，反射声速有明显位移；当声束在液固界面“掠射”时，反射声速显著变宽，文中还讨论了束宽对反射声速横截面上声场分布的影响。     

层状各向异性固体媒质的声反射和声透射

本文导出了联系任意对称的各向异性固体层上下界面力学量（位移和应力）的传递矩阵,从而提出了层状固体媒质声反射和声透射的一般模型,作为例子,本文数值计算了金属铝中双层正交对称固体（其间界面呈刚性联接或滑移联接）对声波的反射和透射系数。     

矢量光束界面反射透射的自旋霍耳效应

矢量光束的一般表示方法是利用投影矩阵和广义琼斯矢量的乘积描述.投影矩阵存在一个自由度,该自由度与有限光束的场矢量偏振状态有关,由特定的单位矢量与波矢量间的方位角决定,可以定量地描述矢量光束的偏振状态.本文在矢量光束描述的理论基础上,通过对投影矩阵进行与反射光束与透射光束传播方向相应的坐标旋转,根据麦克斯韦方程组及其边界条件,计算讨论在各向同性介质界面上反射、透射矢量光束的表示形式以及其自旋霍尔效应表现出的横向位移.线偏振光(光子自旋量为σ＝0)横向位移为零,圆偏振光束(光子自旋量为σ＝±1)位移量最大且左圆偏振与右圆偏振光束的位移大小相等方向相反,进一步分析了左圆偏振光束在界面上的反射、透射光束的横向位移与入射角的关系.     

超声在粘接界面的反射和透射

本文讨论了有关超声在两种固体粘接界面上的各种理论模型，介绍了这些模型所假设的界面边界条件以及由此而得到的超声在粘接界面上的反射系数和透射系数。     

光纤孤子在媒质突变界面的反射与透射

本文通过波包慢变假定,准单色近似和径向模式平均法,建立了光纤孤子反射和透射问题的支配方程和边界条件,借助光束传播法,数值模拟孤子在光纤单界面上的反射和透射过程,文中还给出数值实例。 关键词：     

层状多孔介质中声反射和透射

本文根据流体饱和多孔介质中声传播的Biot理论和多孔介质界面上的六个边界条件研究了平面声波斜入射于多层水平板状多孔介质时的反射和透射。数值计算了快纵波为入射波时声波频率、入射角等量的变化对能量的反射系数、透射系数的影响。数值计算结果表明,当声波波长与中间介质厚度呈一定比例时,反射系数、透射系数取得极值,入射角、多孔介质的性质对反射系数、透射系数的影响很大。     

透射/反射型模压全息图

<正> 传统的模压全息图采用镀铝PET或烫印箔作工作介质,再现像的视场角受到全息图衍射和色散的限制。在有效衍射范围之外,再现像消失,只能观察到由镀铝层的镜面反射形成的银白色的视场。对低衍射效率的全息图,这一问题尤为突出。由于寻找图像比较困难,造成了目前许多用户对全息防伪商标的疑虑。透射/反射型全息图以一个独特的角度解决了上述问题。     

Acoustic X-wave reflection and transmission at a planar interface: spectral analysis

The spectral structure of a three-dimensional X-wave pulse incident on a planar surface of discontinuity is examined. Introducing a novel superposition of azimuthally dependent pulsed plane waves, it is shown for oblique incidence that the reflected pulse has a localized wave structure. On the other hand, the transmitted field maintains its localization up to a certain distance from the interface, beyond which it starts disintegrating. An estimate of the localization range of the transmitted pulse is established; also, the parameters affecting the localization range are identified. The reflected and transmitted fields are deduced for X-waves incident from either a slower medium or a faster one. For the former case the evanescent fields in the second medium are calculated and their explicit time dependence is deduced for a normally incident X-wave. Furthermore, at near-critical incidence the transmitted pulse exhibits significant pulse compression and focusing.     

Acoustic phonons localized at an interface between superlattice and liquid

The vibrational modes localized at a superlattice–liquid interface are studied theoretically. We calculated the phonon transmission rate and found the peculiar peak due to the interface-localized mode. The magnitude of this peak is governed by the number of constituent bilayers (N) of superlattice. We derived the equation determining N=N_max for which the transmission rate takes the maximum value for a given combination of the superlattice and liquid. When N=N_max, the interface-localized mode has the same feature inside the superlattice as the surface-localized mode generated in the semi-infinite superlattice.     

Nonspecular total internal reflection of spatial solitons at the interface between highly birefringent media

We investigate total internal reflection of nonlocal spatial optical solitons at the interface between two differently oriented regions of a highly birefringent nematic liquid crystal. The solitons survive the interaction with an induced index mismatch and undergo nonspecular reflection, with an emerging angle differing appreciably from the incidence angle.     

Reflection and transmission of plane waves at the interface between anisotropic random discrete media

The Maxwell equations are solved for a random discrete medium using the single-scattering approximation and the condition of immersion in a maximally packed medium. The reflection and transmission factors of plane waves at the interface between vacuum and a random discrete anisotropic medium are determined. The calculated and experimental results on reflection and transmission of plane waves near the edge of a forest as an example of natural anisotropy of a random discrete medium are compared.     

Anomalous wave reflection at the interface of two strongly nonlinear granular media

Granular materials exhibit a strongly nonlinear behavior affecting the propagation of energy and information. Dynamically self-organized strongly nonlinear solitary waves are the main information carriers in granular chains. We report the first experimental observation of the dramatic change of solitary wave reflectivity from the interface of two granular media triggered by a magnetically induced precompression. It may be appropriate to name this phenomenon the "acoustic diode" effect. We explain this effect by the high gradient of particle velocity near the interface.     

Pulse transmission through an interface between linear and resonance media

The problem of transmission of an optical pulse through an interface between linear and resonance media is addressed. Parameters of the transmitted and reflected waves versus the parameters of the incident wave are obtained. The amplitude and speed of the transmitted wave for an incident wave in the form of a soliton are calculated.