Performance of a noise barrier within an enclosed space

The present study involved experimental, theoretical, and numerical analyses of the insertion loss provided by rigid noise barriers in an enclosed space. The existing classical diffuse-field theory may be unable to predict the actual sound pressure level distribution and barrier insertion loss for indoor applications. Although predictions made by the ray tracing method at high frequencies are reasonably satisfactory, the method is computer-intensive and time-consuming. We propose a new formula that incorporates the effects of diffraction theory and the reflection of sound between room surfaces. Our results indicate that the present formula provides more realistic and practical predictions of the barrier insertion loss than existing approaches.     

Noise attenuation by a hard wedge-shaped barrier

This paper is concerned with the problem of sound screening by a wedge-like barrier. The sound source is assumed to be point like, and the receiver is located in the shadow of the source sound field, so that according to geometrical optics only the field diffracted by the edge of the barrier is considered. First, for the hard wedge in space, three models are used for calculating the amplitude of the edge-diffracted field. These are the uniform theory of diffraction (UTD), the Hadden-Pierce model, both in the frequency domain, and the Biot-Tolstoy theory of diffraction which is a time domain formulation. It is first shown that even at relatively low frequencies, the frequency domain models perform quite satisfactorily as compared to the exact time domain theory. Hence, and due to its relative simplicity the UTD is proposed as an accurate calculation scheme for solving problems with edge diffraction by hard wedges. It is also proved from theoretical calculations that the amplitude of the edge-diffracted field increases for an increasing angle of the wedge, and consequently the hard half-plane gives the lowest field amplitude in the shadow zone. Some applications are then considered for evaluating the performance of a barrier on a flat ground, either completely hard or with mixed homogeneous boundary conditions. An improvement of the scheme for calculating the sound field in the all-hard case is achieved through considering the multiple diffraction, in this case only to the second order, between the top of the wedge barrier and its base. The results show that for usually occurring situations, increasing the angle of the hard wedge barrier affects negatively its efficiency through diminishing its insertion loss. These conclusions are also supported by the results of some experimental measurements conducted at a scale-model level.     

Development of new apertures for coherent X‐ray experiments

When one performs a coherent small‐angle X‐ray scattering experiment, the incident beam must be spatially filtered by slits on a length scale smaller than the transverse coherence length of the source which is typically around 10 µm. The Fraunhofer diffraction pattern of the slit is one of the important sources of background in these experiments. New slits which minimize this parasitic background have been designed and tested. The slit configuration apodizes the beam by the use of partially transmitting inclined slit jaws. A model is presented which predicts that the high wavevector tails of the diffraction pattern fall as the inverse fourth power of the wavevector instead of the inverse second power that is observed for standard slits. Using cleaved GaAs single‐crystal edges, Fraunhofer diffraction patterns from 3 and 5.5 keV X‐rays were measured, in agreement with the theoretical model proposed. A novel phase‐peak diffraction pattern associated with phase variations of the transmitted electric field was also observed. The model proposed adequately accounts for this phenomenon.     

Shadowing of directional noise sources by finite noise barriers

The present study investigates the shadowing effect of barriers of infinite or finite length in the presence of directional noise sources. The diffraction model termed [Directive Line Source Model (DLSM) J. Acoust. Soc. Am. 107 (2000) 2973-2986] is employed. DLSM is appropriately modified and extended to include the effects of ground reflection, diffraction by the side edges of a finite length barrier, and diffraction by directional noise sources. Results obtained are shown to be in good agreement with available experimental data and known analytical solutions. An application of the enhanced DLSM is illustrated using helicopter type noise, which is highly directive. The noise source is modeled as a directional point source with far field directivity data and the enhanced DLSM is employed to compare the noise field with and without the barrier present for three different directivity patterns, various source locations and orientations, as well as, for various barrier lengths.     

光栅周期包含的Bragg层数对Bragg型凹面衍射光栅的影响

单个衍射光栅周期所包含的Bragg周期层数是连续Bragg齿型凹面衍射光栅的主要参数之一,该参数可改变光栅齿结构,对凹面衍射光栅的分辨力.自由光谱范围及衍射效率有重要影响.本文通过理论分析与仿真模拟,对比了4种不同层数的Bragg型凹面衍射光栅的特性参数.研究结果表明:在衍射光栅尺寸不变的情况下,改变单个光栅周期包含的Bragg周期层数不会显著提高器件主衍射级次的分辨力;单个光栅周期包含的Bragg周期层数与光栅可衍射的级次数成正相关.单周期层数的Bragg凹面衍射光栅的主衍射级次效率最高,其可衍射的级次数最少,且其他衍射级次分散的能量最少;增加单个光栅周期所包含的Bragg周期层数会降低主衍射级次的自由光谱范围.该研究对于设计低插损、高分辨率、宽工作波段的波分复用器或光栅光谱仪具有重要的指导意义.     

计入地面附加衰减的声屏障插入损失估算方法*

基于理论推导和计算,给出了公路声屏障声学设计中,在考虑地面附加衰减情况下计算插入损失的方法。该方法综合考虑了有限长线声源无限长声屏障绕射声衰减量、有限长线声源地面衰减量及遮蔽角对插入损失的影响。通过与《声屏障声学设计和测量规范》（HJ/T90-2004）的计算结果的对比,验证了本文所给方法的精确性及可行性,并对规范所给地面衰减修正量进行了商榷。最后,给出了当预测点位于有限长路段中央法线上时,通过计算线声源地面衰减量得到计算插入损失所需参数值,再计算插入损失的简便方法。本研究为存在地面附加衰减情况下有限长声屏障插入损失计算提供了一个新的参考方法。     

The measurement of acoustic properties of limited size panels by use of a parametric source

A method of measuring the acoustic properties of limited size panels immersed in water, with a truncated parametric array used as the acoustic source, is described. The insertion loss and reflection loss of thin metallic panels, typically 0·45 m square, were measured at normal incidence by using this technique. Results were obtained for a wide range of frequencies (10 to 100 kHz) and were found to be in good agreement with the theoretical predictions for plane waves. Measurements were also made of the insertion loss of aluminium, Perspex and G.R.P. panels for angles of incidence up to 50°. The broad bandwidth available from the parametric source permitted detailed measurements to be made over a wide frequency range using a single transmitting transducer. The small spot sizes obtainable with the parametric source also helped to reduce the significance of diffraction from edges of the panel under test.     

旋转双光楔折射特性与二维扫描轨迹的分析

 为实现旋转双光楔二维扫描的可控操作,利用几何光学和光的标量衍射理论,对双光楔的折光特性进行了数学分析。研究发现：绕固定轴以不同角速度旋转的双光楔可等效为一个折射棱角和主截面都变化的单光楔。以该双光楔系统作为衍射屏,对通过双光楔的光束在观察面的衍射光场分布作了理论分析,得到了夫琅和费衍射下,光束经转动双光楔在像平面上的衍射光斑随转角变化的规律：光斑的横坐标与两光楔转角正弦值的差成正比,纵坐标与两光楔转角余弦值的和成正比。     

静磁波与导波光的磁光耦合理论

根据耦合模理论,分析了砂光波导中静磁波与导波光的相互作用特点。给出了导波光模式之间的耦合方程。理论分析表明,仅当垂直磁化时,发生模式转换的导波光材被全部衍射,此时衍射效率等于模式转换效率。计算了斜向场作用下ＹＩＧ薄膜中导波光的反斯托克斯相互作用衍射效率,所得结论与实验结果一致。适当倾斜静磁场,导波光的模式转换和衍射效率均可比垂直磁化时间显提高。同时改变静磁体波传播方向和斜向场的偏离方向（与垂直方向     

Performance of noise barriers with various edge shapes and acoustical conditions

The performances of barriers having different shapes and surface conditions were tested using the boundary element method in a well-controlled environment. The heights and widths of the barriers were standardized and the insertion losses for six receiver positions were averaged and compared. Figures displaying the results allow for straightforward barrier performance estimation. It was shown that absorbing and soft edges significantly improve the efficiency of the barrier, but configuration modifications provide only a slight improvement. The soft T-shaped barrier produces the highest performance. A 3 m high T-shaped barrier provides the same performance as a 10 m high plain barrier. The spectral efficiency was also investigated. The insertion loss spectra for the absorbing and the soft barriers exhibit a similar shape, but the rigid barrier differs from these two.     

高斯光束在单轴晶体中的布拉格衍射特性

利用适当的坐标变换和黎曼方法建立了高斯光束在单轴晶体中布拉格衍射的严格的耦合波理论 ,获得了一组严格的耦合波方程和衍射效率计算公式 ,讨论了衍射效率随折射率调制量的关系以及波长选择性和角度选择性 ,同时分析了衍射效率对再现光宽度的要求。模拟计算表明 ,异常光与异常光 (ee)型布拉格衍射能够达到的最大衍射效率由记录时入射角决定 ,而且通过各参量的适当的选择 ,理论上ee型布拉格衍射能够在折射率调制量很低(如 8.2× 10 -5)的情况下获得接近 90 %的衍射效率。该理论模型为如何在较低折射率调制量下获得较高衍射效率提供了理论指导     

斜向静磁场中光导波模式转换与衍射理论

应用经典场论和耦合模理论计算了斜向静磁场作用下，磁性薄膜波导中静磁波与导波光的相互作用.计算结果表明，与垂直静磁场情形相比，斜向静磁场时的相匹配条件有所变化，由于磁性薄膜波导中法拉第磁光效应增强等因素，导波光的Bragg衍射效率得以显著增加.这有利于应用YIG等低损耗磁性薄膜做成高衍射效率的磁光波导器件，亦有利于降低Bi∶YIG等高比法拉第旋转的磁光薄膜波导器件的体积和损耗.此外，理论指出的在斜向静磁场条件下所具有的一些磁光特性与实验结果亦符合得很好. 关键词：     

A ray model for hard parallel noise barriers in high-rise cities

A ray model is developed and validated for prediction of the insertion loss of hard parallel noise barriers placed in an urban environment either in front of a row of tall buildings or in a street canyon. The model is based on the theory of geometrical acoustics for sound diffraction at the edge of a barrier and multiple reflections by the ground, barrier and fa?ade surfaces. It is crucial to include the diffraction and multiple reflection effects in the ray model as they play important roles in determining the overall sound pressure levels for receivers located between the fa?ade and the near-side barrier. Comparisons of the ray model with a wave-based boundary element formulation show reasonably good agreement over a broad frequency range. Results of scale model experimental studies are also presented. It is demonstrated that the ray model agrees tolerably well with the scale model experimental data.     

The Young principle and integration-masked lumped sources of a diffracted field

A methodologically simple modification of the Young principle is proposed for describing diffracted field formation in problems of wave diffraction by the sharp edges of screens and wedges without using Sommerfeld’s two-sheeted space. The method of determining the diffracted field constructs the derivative of the field by introducing lumped sources positioned at given scattering edges with subsequent integration of the constructed field along the directions parallel to the wave fronts of the incident plane wave.     

The predicted barrier effects in the proximity of tall buildings

A ray model is developed and validated for the prediction of the insertion loss of barriers that are placed in front of a tall building in high-rise cities. The model is based on the theory of geometrical acoustics for sound diffraction at the edge of a barrier and multiple reflections by the barrier and fa?ade surfaces. It is crucial to include the diffraction and multiple reflection effects in the ray model, as they play important roles in determining the overall sound pressure levels for receivers located between the fa?ade and barrier. Comparisons of the ray model with indoor experimental data and wave-based boundary element formulation show reasonably good agreement over a broad frequency range. Case studies are also presented that highlight the significance of positioning the barrier relative to the noise-sensitive receivers in order to achieve improved shielding efficiency of the barrier.     

无零级衍射干扰的彩色数字全息研究

彩色数字全息研究中,用球面波为重建波及角谱衍射公式进行波前重建是一种有效的方法.然而,重建图像上通常伴有强烈的零级衍射干扰.本文通过理论分析,对波前重建过程作了重要改进.用改进后的方法进行彩色数字全息的实验研究表明,重建彩色图像的质量获得显著改善. 关键词： 彩色数字全息 波前重建 零级衍射干扰     

Motion of nanodroplets near edges and wedges

Nanodroplets residing near wedges or edges of solid substrates exhibit a disjoining pressure induced dynamics. Our nanoscale hydrodynamic calculations reveal that nonvolatile droplets are attracted or repelled from edges or wedges depending on details of the corresponding laterally varying disjoining pressure generated, e.g., by a possible surface coating.     

平行单色光狭缝衍射的区域划分

利用基尔霍夫衍射公式通过数值计算绘制出理想狭缝在不同区域的衍射光强分布,并与菲涅耳衍射公式及夫朗禾费衍射公式的计算的结果比较,对基尔霍夫衍射公式、菲涅尔衍射公式和夫朗禾费衍射公式的适用范围做了详细的讨论.     

Sound attenuation by multiple barriers

A method (tentatively called ‘the method of equivalent sound source’) of predicting the sound attenuation achieved by multiple barriers with knife edges and/or right-angled wedges is proposed. This paper shows that the sound pressure level in the shadow region behind the multiple barriers can be obtained by successively setting imaginary sound sources for respective edges and/or wedges. The locations of the imaginary sound sources are determined by means of the traditional solution for sound attenuation by a single edge. The calculated results for several kinds of small-scale model, obtained by ‘the method of equivalent sound source’, are compared with experimental results.     

菲涅尔多缝衍射的数值计算

本文直接由菲涅尔一基尔霍夫衍射积分公式出发,通过数值积分的方法,计算菲涅尔单缝、双缝以及多缝衍射的光强分布,绘制出其相应的光强分布曲线.同时给出了计算菲涅尔多缝衍射的光振动分布的具体表达式.研究结果对于理解菲涅尔衍射现象具有重要的理论参考意义.