时域有限差分法在建筑声学中的应用及前景

介绍了声波方程的基本差分格式及稳定条件、数值色散、吸收边界条件等数值计算理论，例举了前人用时域有限差分法对噪声传播过程的模拟和室内声学中座椅吸声低谷效应模拟的模拟结果。本文指出，由于时域有限差分法的特点使其具有在模拟脉冲响应方而的特别优势，因而，应用这一技术研究厅堂的声学特性，尤其是低频特性，将有重要意义。     

Single-element ultrasonic transducer modeling using a hybrid FD–PSTD method

In a recent publication [E. Filoux, S. Callé, D. Certon, M. Lethiecq, F. Levassort, Modeling of piezoelectric transducers with combined pseudospectral and finite-difference methods, J. Acoust. Soc. Am. 123 (6) (2008) 4165–4173], a new finite-difference/pseudospectral time-domain (FD–PSTD) algorithm was presented and used to model the generation of acoustic waves by a piezoelectric resonator and their propagation in the structure and the surrounding water. In this paper, the model has been extended to simulate the two-dimensional behaviour of a complete single-element transducer, composed of the resonator, a backing and a front matching layer. This further version of the model takes into account the mechanical loss in materials, and enables the calculation of electrical impedance, which is a characteristic of high interest to optimize the performance of ultrasonic transducers. The impedance curves of a PZT [URL: http://www.ferroperm-piezo.com (last viewed 04/2008); B. Jaffe, R.S. Roth, S. Marzullo, Piezoelectric properties of lead zirconate-lead titanate solid-solution ceramics, J. Appl. Phys. 25 (1954) 809–810] plate-based high-frequency transducer, with a 50 MHz thickness resonant frequency, were compared to those of a KLM model [R. Krimholtz, D.A. Leedom, G.L. Matthei, New equivalent circuit for elementary piezoelectric transducers, Electron. Lett. 6 (1970) 398–399] in the one-dimensional case. The acoustical properties were also found to be in good agreement with those obtained using the finite element (FE) method of ATILA^® software in two-dimensional configuration.     

Analysis on the efficiency of parallel FDTD method and its application in two-dimensional photonic crystal

A new kind of parallel finite-difference time-domain (FDTD) method is used to calculate and analyze the transmission properties of photonic crystal. The effectiveness and the accuracy of parallel FDTD method were proved by the typical two-dimensional sine wave. The result shows that parallel FDTD method, which can save time effectively in electromagnetic problems with large size and long time, performs as accurate as the series one. This method, whose results shows that the photonic band gap normalized frequency moves to the low-frequency direction with the enlargement of the section area of the square cylinder and that the band gap gets thinner, is applied to simulate and analyze the two-dimensional photonic crystal and gives calculating method and analyzing accordance to calculate and analyze large-sized photonic crystal structure.     

电磁脉冲辐射器近区场数值模拟

 电磁脉冲辐射器是便携式电磁脉冲电场屏蔽效能测试设备的关键部分。提出了一套小型电磁脉冲辐射器的方案，并采用时域有限差分法在计算机上模拟了辐射器产生的近区电磁场, 结果表明，如果高压脉冲源产生的脉冲电压为双指数波，则通过天线辐射产生的近区场的波形也为双指数波，从而，使近场参数均能达到测试设备所要求的指标，说明所提供电磁脉冲辐射器的方案为可行。     

Three-dimensional FDTD method for optical pulse propagation analysis in microstructured optical fibers

We propose a three-dimensional (3D) finite-difference time-domain (FDTD) method to analyze the pulse propagation characteristics in microstructured optical fibers (MOFs). The computation domain size is greatly reduced by adopting the technique of moving problem space. The propagating pulse is virtually held in the buffer cell of the problem space as simulation continues. This method is capable to investigate the temporal evolution of the propagating pulse. Spectral information can be obtained by Fourier analysis. As an example, the influence of the kerr nonlinearity on the optical pulse propagation in a Lorentz dispersive MOF is demonstrated. The model is also used to simulate the nonlinear interactions between the pump spectral broadening and third harmonic generations in a highly nonlinear fused silica nanowire with good agreement with the generalized nonlinear envelop equation (GNEE) model.     

Design and Simulation of a Wide-Beam High-Power Parabolic Antenna with Dual-Source

For resolving the essential problem that the beam is too narrow in the application of the high-power UWB (Ultra-Wideband) antenna with single-source, a novel wide-beam high-power parabolic antenna with dual-source has been designed, and the edge of the paraboloid was cut in order to reduce the size of the antenna. Radiation properties of this proposed antenna are studied with finite-difference time-domain (FDTD) numerical method. The radiation properties of the proposed antenna can be improved by changing the structure of the parabolic antenna and adjusting the angle between the source and the axis of the antenna. The result shows that the beam-width has been improved significantly under the precondition of maintaining the peak power, and also the size of the antenna was minished by cutting the edge of the paraboloid.     

宽波束双馈源超宽带抛物面天线设计与仿真

 针对单馈源超宽带抛物面天线波束较窄的问题，设计了一种宽波束双馈源超宽带抛物面天线。该抛物面天线是由一个普通的抛物面从中间对称分式，并在中间以平板连接而成的。馈源采用改进型平面TEM喇叭天线，同轴垂直馈电方式。两个馈源分别置于抛物面的两个焦点上。并利用时域有限差分数值方法分析了该天线的辐射性能。通过改变抛物面的结构，调节双馈源与天线主轴的夹角等方法可以有效改善天线的辐射性能。结果表明，所设计的宽波束双馈源抛物面天线可以在远区更宽的空间上形成峰值功率比较均匀的电磁脉冲，在不降低峰值功率的前提下有效地增加了波束的宽度；在抛物面天线两边进行少量切割不会对辐射场产生明显影响，节省了空间。     

二维光子晶体提高C波段LED出光效率的研究

片上集成光源是未来光电子系统中光源发展的主要趋势,LED光源作为片上集成光源的主要缺点是其出光效率低,二维光子晶体是提高LED出光效率的有效手段。本工作设计了C波段LED的基本结构及参数,并采用时域有限差分法计算了不同阵列不同占空比的二维光子晶体能带结构,利用禁带理论选取提高C波段LED出光效率的最优二维光子晶体结构参数,结果表明三角排列空气孔二维光子晶体晶格常数a=500 nm且占空比R_p=0.44的光子晶体结构最优。     

In vitro estimation of fast and slow wave parameters of thin trabecular bone using space-alternating generalized expectation-maximization algorithm

In testing cancellous bone using ultrasound, two types of longitudinal Biot’s waves are observed in the received signal. These are known as fast and slow waves and their appearance depend on the alignment of bone trabeculae in the propagation path and the thickness of the specimen under test (SUT). They can be used as an effective tool for the diagnosis of osteoporosis because wave propagation behavior depends on the bone structure. However, the identification of these waves in the received signal can be difficult to achieve.In this study, ultrasonic wave propagation in a 4 mm thick bovine cancellous bone in the direction parallel to the trabecular alignment is considered. The observed Biot’s fast and slow longitudinal waves are superimposed; which makes it difficult to extract any information from the received signal. These two waves can be separated using the space alternating generalized expectation maximization (SAGE) algorithm. The latter has been used mainly in speech processing.In this new approach, parameters such as, arrival time, center frequency, bandwidth, amplitude, phase and velocity of each wave are estimated. The B-Scan images and its associated A-scans obtained through simulations using Biot’s finite-difference time-domain (FDTD) method are validated experimentally using a thin bone sample obtained from the femoral-head of a 30 months old bovine.     

Ag-Al纳米球二聚体的光学性质研究

金属纳米材料因其表面等离子体共振特性而备受关注。异质结构的金属纳米材料的光学特性相比于同质结构因其材料的不同破坏了原有结构的对称性,对称性的破坏将引起光学性质的改变,相邻两个颗粒之间的相互作用会产生Fano共振。Fano共振是由异质纳米结构的表面等离子体共振耦合引起的,通过合理地调控表面等离子体共振的耦合,将进一步调控Fano共振的强度同时促使异质结构的电场增强特性和辐射特性得到进一步优化。受金银等贵金属的带间跃迁影响,金属铝纳米材料成为研究紫外-近紫外光区的表面等离子体共振研究最佳选择。采用有限时域差分方法研究了Ag-Al纳米球二聚体的光学特性。研究了Ag和Al纳米球组成的二聚体的吸收光谱与入射光偏振方向、纳米球半径、颗粒间距和介质折射率等几何结构及物理参数的关系,并深入讨论了二聚体的局域场分布规律;讨论了获取更高效的Fano共振光谱的方法。由于材料的对称性被破坏,异质二聚体的光学性质与同质二聚体明显不同,Ag-Al异质纳米球二聚体呈现出在紫外和可见光区的双Fano共振现象。Ag-Al二聚体表面等离子体互相耦合引起Fano共振从而导致表面等离子体的共振抑制和增强。研究结果对在紫外-可见光区的表面等离子体应用、纳米光学器件的设计与开发及基于表面等离子体共振的表面增强光谱、生物传感和检测研究等有一定参考价值。     

Study of electrical field distribution of gold-capped nanoparticle for excitation of localized surface plasmon resonance

The specific optical characteristics which can be observed from noble metal nanostructured materials such as nanoparticles and nanoislands have wide variety of applications such as biosensors, solar cells, and optical circuit. Because, these noble metal nanostructures induce the increment of light absorption efficiency by the enhancing effect of electrical field from localized surface plasmon resonance (LSPR) excitation. However, the enhancing effects of electrical field from LSPR using simple structured noble metal nanostructures for several applications are not satisfactory. To realize the more effective light absorption efficiency by the enhancing effect of electrical field, quite different noble metal nanostructures have been desired for applying to several applications using LSPR. In this study, to obtain the more effective enhancing effect of electrical field, conditions for LSPR excitation using a gold-capped nanoparticle layer substrate are computationally analyzed using finite-difference time-domain (FDTD) method. From the previous research, LSPR excitation using such gold-capped nanoparticle layer substrates has a great potential for application to high-sensitive label-free monitoring of biomolecular interactions. For understanding of detailed LSPR excitation mechanism, LSPR excitation conditions were investigated by analyzing the electrical field distribution using simulation software and comparing the results obtained with experimental results. As a result of computational analysis, LSPR excitation was found to depend on the particle alignment, interparticle distance, and excitation wavelength. Furthermore, the LSPR optical characteristics obtained from the simulation analysis were consistent with experimentally approximated LSPR optical characteristics. Using this gold-capped nanoparticle layer substrate, LSPR can be excited easily more than conventional noble metal nanoparticle-based LSPR excitation without noble metal nanoparticle synthesis. Hence, this structure is detectable a small change of refractive index such as biomolecular interactions for biosensing applications.     

FDTD法对二维正方格子光子晶体带隙的数值计算

通过optiFDTD模拟软件对二维椭圆柱构造的正方格子光子晶体的禁带特性进行了数值模拟。分别研究了在空气中椭圆介质(Ge,Si,GaAs)柱和在介质(Ge,Si,GaAs)中椭圆空气柱构造的二维正方格子光子晶体中椭圆柱的横轴半径和纵轴半径的大小,以及椭圆柱的不同旋转角度对光子禁带的影响;并计算出了在上述两种情况下的空气和介质中的最优结构参数。     

Generation of Bessel Beams at mm- and Sub mm-wavelengths by Binary Optical Elements

In this paper, binary optical elements (BOE’s) are designed for generating Bessel beams at mm- and sub mm- wavelengths. The design tool is to combine a genetic algorithm (GA) for global optimization with a two-dimension finite-difference time-domain (2-D FDTD) method for rigorous electromagnetic computation. The design process for converting a normally incident Gaussian beam into a Bessel beam is described in detail. Numerical results demonstrate that the designed BOE’s can not only successfully produce arbitrary order Bessel beams, but also have higher diffraction efficiencies when compared with amplitude holograms.     

时域有限差分法分析蚀刻衍射光栅的后向衍射效率

采用时域有限差分法(FDTD)结合理想匹配层(PML)边界条件及周期性边界条件对两种结构槽面的后向衍射效率进行了分析,在P偏振和S偏振两种情况下,均得到了比传统差分方法和射线近似方法更精确的解.数值计算结果表明:全内反射(TIR)结构在高折射率材料(如InP)的蚀刻衍射光栅(EDG)中很有效,而在低折射率材料(如SiO₂)的EDG中效果不理想.     

一维光子晶体激光器中模场的空间分布及其对阈值的影响

采用有限时域差分（FDTD）法和传输矩阵法（TMM）计算了一维光子晶体微腔中模式的阈值和模场的空间分布,并用局域化长度和模面积描述了其空间分布特性.着重研究了模场的空间分布对阈值特性的影响.模拟结果显示,激光器的阈值依赖于模式的空间分布,局域化长度和模面积最小的模式具有最低阈值.通过调节包括缺陷宽度、光学厚度比、折射率比等介质参量,可以有效地调节模式的局域化长度和模面积,从而降低激光器的阈值.     

Design and simulation of apodized wavelength filters using Gaussian-distributed sidewall grating

An accurate design for an apodized integrated optical wavelength filter using Gaussian-distributed sidewall Bragg grating is proposed, 2-dimensionally simulated and analyzed using the finite-difference time-domain method. It is verified that for various grating periods, the central wavelengths of the reflection bands are all fixed at designed 1.55 μm with the side lobes well suppressed.     

扩展卡尔曼滤波和不敏卡尔曼滤波在实时雷达回波反演大气波导中的应用

为了改善雷达回波反演大气波导(RFC)方面存在的单时次、单方位角反演的问题,提出利用扩展卡尔曼滤波和不敏卡尔曼滤波的反演算法对大气波导结构的多方位角实时跟踪反演. 在卡尔曼滤波方法中分别给出大气波导结构的参数化方程、观测方程、滤波算法的状态转移方程,最后导出滤波反演算法的迭代求解流程. 在大气波导结构不随时间变化和随时间变化的两种条件下,对扩展卡尔曼滤波和不敏卡尔曼滤波算法进行数值实验. 实验结果表明,不敏卡尔曼滤波更适用于RFC这高度非线性反演问题,它可能今后为大气波导结构多方位角实时跟踪反演的业务化运行提供理论基础与技术保证. 关键词： 大气波导 雷达回波 扩展卡尔曼滤波 不敏卡尔曼滤波     

聚焦光场俘获微球的FDTD分析

基于动量守恒原理,采用2维时域有限差分方法(2D FDTD)建立了激光场对微米量级微球的作用力模型,讨论了入射高斯光场的波长、束腰半径、微球的折射率和半径等对聚焦光场俘获力的影响.结果表明：位于聚焦光场中特定位置的微球可被俘获,当离轴距离增加,俘获力减小.微球所受到的俘获力与微球的折射率有关,当小于环境折射率时(如汽泡),不能形成俘获,而被推离光场.模拟结果与其他文献中报道的实验结果一致. 关键词： 光镊 俘获力 时域差分有限方法(FDTD) 动量守恒     

Analysis of nonlinear PCF for birefringence application using FDTD method

The effect of ellipticity on birefringence in a hexagonal photonic crystal fiber having elliptical air holes with Kerr nonlinearity is investigated, with and without defect using finite difference time domain (FDTD) simulations. It is found that the birefringence increases with the increase of ellipticity. Further this analysis is extended to a double defect structure, where two adjacent air holes are omitted horizontally from the hexagonal structure. This double defect structure is found to have more birefringence than the structure without defect. It is raveled that birefringence due to no defect is more for lower value of ellipticity; however at higher value of ellipticity, birefringence due to double defect is more than the one that could be due to no defect.     

用二维时域有限差分法计算机翼雷达散射截面

应用二维时域有限差分(FDTD)程序计算二维翼型NACA0012和金属方柱的双站雷达散射截面,与国内外文献上的结果进行比较,证明该程序的有效性.而后计算二维不同形状机翼的双站雷达散射截面(RCS)和不同后掠角时后掠翼和三角翼的双站RCS,得出不同形状机翼有不同的RCS分布;改变后掠角的大小可以改变机翼的RCS分布.因此,根据设计要求,可以通过选用不同机翼形状或不同大小的后掠角,使飞行器达到RCS减缩.