阵元间互辐射对基阵指向性的影响研究及试验

针对常规基阵指向性图计算并未考虑阵元间互辐射阻抗影响这一不足,修正了常规基阵指向性图计算公式。将阵元间的互辐射阻抗引入到水声基阵的辐射声场计算中,并依据叠加原理得到包含阵元间互辐射阻抗的基阵指向性图计算修正公式。15元均匀线列阵和5×5均匀平面阵的计算机仿真和消声水池试验结果表明,该修正公式相比于常规公式更能反映基阵指向性图的真实情况。      

Characterization of the radiation from single-walled zig-zag carbon nanotubes at terahertz range

This paper investigates the radiation characteristics of metal single-walled zig-zag carbon nanotubes as a dipole antenna at terahertz wave range. The current distribution, input impedance and mutual impedance are calculated for various geometrical parameters of vertically-aligned carbon nanotubes. The numerical results demonstrate the properties of the antenna depending strongly on the geometrical parameters such as the radius, the lengths of carbon nantobues, and the spacing between nanotubes. It is found that the zig-zag carbon nanotubes exhibit very high input impedance and the mutual impedances for antenna array applications. These unique high impedance properties are different from the conventional metal thin wire antenna. The far-field patterns and gain of antenna array are also calculated. The maximum gain of array of 100-element array is up to 20.0~dB, which is larger than the gain of 0.598~dB of single dipole antenna at distance d = 0.5\lambda .     

无障板圆形活塞换能器的辐射阻抗*

辐射阻抗是换能器的最重要辐射声场特性参数之一,影响着换能器的谐振频率、频带宽度、效率以及辐射声功率等。经典声学理论用一阶贝塞尔函数和斯特鲁夫函数给出了圆形活塞换能器辐射阻抗的数学表达式,但仅适用于无限大障板条件。该文用ANSYS有限元软件计算了无障板圆形活塞换能器的辐射阻抗,给出了数值解结果,通过与无限大障板条件下的理论结果相比较,显示了二者之间的偏离情况,尤其是在低频时差异显著。为了借助MATLAB工具模拟无障板圆形活塞换能器的辐射阻抗,并给出较准确的数学表达,选择了一系列初等函数以及它们的复合函数进行曲线拟合,最终给出了辐射阻和辐射抗关于ka的函数表达式,在ka值从0.08到20范围内与有限元计算结果很好吻合。     

A modal Pritchard approximation for computing array element mutual impedance.

An investigation into the applicability and accuracy of Pritchard's approximation for closely packed transducer arrays is undertaken. A new, "modal" Pritchard approximation is developed, based upon normal modes of the acoustic medium, and is tested for arrays of acoustically hard spheres to ascertain its accuracy in determining the mutual acoustic radiation impedance between array elements. For ka approximately 1, it is found that the modal Pritchard approximation works quite well in approximating the mutual radiation impedance of a two-element array, even for relatively close spacing; but for arrays of three or more scatterers in close proximity the approximation may have relatively large errors. The effect of neglecting inter-element scattering is analyzed for the monopole-to-monopole scattering of various configurations of a three-element array and a sixteen-element double line array.     

脉冲天线阵列时域辐射场快速计算的简化方法

采用有源单元方向图思想，在考虑互耦情况下，将大型脉冲阵列天线各单元的时域方向图用相似环境下小型阵列的有源单元方向图来等效，进而叠加计算辐射总场。以此为基础，结合时域辐射原理改进了上述方法。通过公式推导得出:一个大型线阵或大型平面阵的时域辐射场可分别通过两个小型线阵或四个小型平面阵的时域辐射总场计算得到，避免了传统方法中小阵有源单元方向图逐元提取的繁琐操作。采用上述方法分别计算了一个13元线阵和一个1113元平面阵列，计算结果与软件仿真结果吻合良好，与传统的小阵外推方法相比，直线阵列和平面阵列的计算量分别减少了56.8%和81.17%。     

Effects of mutual impedance on the radiation characteristics of transducer arrays

The mutual resistance of transducer arrays is investigated in order to design arrays with improved performance for high intensity sounds at a given frequency. This work proposes the theory that the mutual resistance is related to the loading effects of pressure waves propagated from a piston driver on the surface of another driver. Using this interpretation, the important characteristics of the mutual resistance of two piston drivers are explained and the conditions for local maxima in the mutual resistance are easily determined. On the basis of analyses of the interactions between a driver and acoustic pressure waves, we propose a method to determine the driver radius and the distance between two drivers that give maximum mutual radiation resistance. To evaluate the proposed method, the total resistance of a transducer array is calculated using the formulas for mutual and self-resistance established by Pritchard. The results of the calculations of the total resistances of arrays with many drivers show that a transducer array with drivers arranged sparsely can achieve a larger value of the radiation power per unit area as well as better radiation efficiency than an array in which the drivers are in a closely packed arrangement at a given frequency.     

Evaluation of mutual radiation impedances between circular pistons by impulse response and asymptotic methods

A general approach is presented to evaluate the mutual radiation impedance between circular pistons of arbitrary size and spacing in an infinite rigid planar baffle. The impedance is expressed as a Fourier transform of a generalized impulse response which is defined by an integral relationship. Although the integral must, in general, be numerically evaluated, several special cases of interest can readily be evaluated by using asymptotic techniques. Several asymptotic expressions for the mutual radiation impedance are developed and their limitations are noted. Numerical results are then presented for the generalized impulse response and mutual radiation impedance corresponding to pistons of equal size and arbitrary spacing. The time domain characteristics of the generalized impulse responses as a function of spacing are noted and related to the frequency characteristics of the mutual radiation impedances as a function of spacing. In addition, the accuracy of a simple closed form expression for the mutual radiation impedance is presented as a function of normalized frequency and spacing.     

宽带高功率贴片天线阵列辐射特性

 为提高宽带高功率微波辐射天线的总体功率容量和增益,研究了2×2宽带高功率贴片天线阵列的阵元互耦特性、馈电功分器设计及对宽带电磁脉冲的辐射特性。阵元采用宽带高功率双层贴片天线,分析了阵元反射和互耦系数随阵元间距的变化关系,结合增益变化曲线,选取阵元间距为30 cm。优化设计了1分4的同轴功分器,采用阻抗渐变方法,提高了功分器的带宽,使其在224~415 MHz时的反射系数小于0.1。模拟了带功分器的完整天线阵,结果表明天线阵带宽达到了57.4％,280~390 MHz频带范围内的增益大于12 dB,在360 MHz时达到最大增益14.23 dB,对中心频率320 MHz,带宽10％的宽带电磁脉冲辐射效率为868％,峰值功率增益大于11 dB。     

Analytical model of a self-complementary connected antenna array on high impedance surface

This paper presents an analytical model to design a self-complementary connected antenna array above artificial materials like high impedance surfaces (HIS). The objective of this model is to perform parametric studies to facilitate deeper understanding of a complex antenna array with a significantly shorter computation time than with electromagnetic simulators. The model of the complete structure has been designed in receiving mode when structure is illuminated with a plane wave and using transmission line model and ABCD matrix. By applying an interesting property which gives equivalence between the input impedance in transmit mode and the surface impedance in receiving mode, the impedance match of the self-complementary connected antenna array can be quickly calculated. It is also simple to evaluate the influence of the incidence angle on the reflection coefficient of a self-complementary connected antenna array above perfect electric conductor (PEC) or HIS. PEC or artificial materials can modify the antenna array behavior by either increasing the bandwidth or by adding additional bandwidths. All these results have been verified to be accurate by numerical simulations done with Ansys HFSS.     

TEM喇叭天线阵列单元互耦对阵列辐射特性的影响

 应用FDTD方法分析TEM喇叭天线阵列的瞬态辐射特性，分析了阵列单元之间的互耦对天线阵列远场辐射的影响。当TEM喇叭天线阵列单元沿E-面叠状排列，阵元间互耦可以改善阵列的低频辐射；沿H-面排列的槽状线阵或平面方阵不利于阵列的低频辐射的改善。用半TEM喇叭天线组成槽状排列和叠状排列的二元线阵和四元线阵，进行了相应的原理性实验，实验结果与理论数值模拟基本一致。     

应用NiZn铁氧体的宽带传输线变压器性能分析

研究了变换比为4∶1的宽频带传输线变压器,给出了考虑线圈互耦的等效电路模型,分析了其阻抗变换特性。针对在以往传输线变压器分析中忽略频率变化对磁导率的影响这一问题,以应用NiZn铁氧体的宽带传输线变压器为例,将频率变化对磁导率的影响应用到分析传输线变压器特性中。对测试结果的分析和比较表明:在传输线变压器输入阻抗的分析中,频率对其的影响是存在的,在等效电路模型分析中加以考虑,可以更好地与实际值吻合。     

Radiation impedance loading of a spherical source in a two-dimensional perfect acoustic waveguide

We employ the classical method of separation of variables in combination with the method of images and the translational addition theorems for spherical wave functions to investigate the acoustic radiation load on a finite-sized spherical source which is submerged at an arbitrary point within a plane-parallel sound channel with absolutely reflecting boundaries. To simulate an idealized situation, it is supposed that the fluid layer is homogeneous and is bounded below by an acoustically hard surface and above by a rigid/compliant boundary. Subsequently, the resistive and the reactive components of the modal acoustic radiation impedance load as a function of source position for a pulsating (n = 0) and an oscillating (n = 1) sphere at selected nondimensional frequencies are calculated and discussed. The presented benchmark solution can lead to a better understanding of the acoustics of waveguide sources (transducers) that are of practical interest in underwater acoustics and ocean engineering. It could eventually be used to validate those found by numerical approximation techniques. The text was submitted by the authors in English.     

A theoretical model to predict the low-frequency sound absorption of a helmholtz resonator array

A theoretical method based on mutual radiation impedance is proposed to compute the sound absorption performance of a Helmholtz resonator array in the low-frequency range. Any configuration of resonator arrangement can be allowed in the method, while all the resonators may or may not be identical. Comparisons of the theoretical predictions with those done by the past studies or experiments show that the present method can accurately predict the absorption performance in more general cases.     

Measurement of the glottal impedance with a mechanical model

An approximate but realistic model of the human larynx was constructed to gain better knowledge of the complex glottal impedance and its dependence on glottal width, flow, and frequency. The glottal width was adjustable from 0 to 3 mm, the flow from 0 to 500 cm3/s. The model was fitted into a system of tubes, through which compressed air could be conducted. Supraglottally, a broadband signal was fed into the tube, and, with a two-microphone directional coupler, the complex glottal impedance at a given reference plane was directly determined as a function of frequency. Since the calculated impedance is sensitively dependent on the definition of the position of the reference plane, it is difficult to obtain quantitative statements about the frequency dependence. Nevertheless, in the presence of flow, it is possible to achieve reliable results by analysis of the relative position of the measured curves. On the one hand, the glottal inductance decreases linearly with increasing flow velocity; on the other hand, it diminishes nonlinearly with decreasing frequency. Finally, some difficulties in the definition of glottal impedance are pointed out.     

A theoretical study of the feasibility of acoustical tweezers: ray acoustics approach

The optical tweezer has been found to have many biomedical applications in trapping macromolecules and cells. For the trapping mechanism, there has to be a sharp spatial change in axial optical intensity and the particle size must be much greater than the wavelength. Similar phenomenon may exist in acoustics. This work was undertaken to demonstrate theoretically that it is possible to acoustically trap particles near the focal point where most of the acoustic energy is concentrated if certain conditions are met. Acoustic force exerted on a fluid particle in ultrasonic fields is analyzed in a ray acoustics regime where the wavelength of acoustic beam is much smaller than the size of the particle. In order to apply the acoustical tweezer to manipulating macromolecules and cells whose size is in the order of a few microns or less, a prerequisite is that the ultrasound wavelength has to be much smaller than a few microns. In this paper, the analysis is therefore based on the field pattern produced by a strongly focused 100 MHz ultrasonic transducer with Gaussian intensity distribution. For the realization of acoustic trapping, negative axial radiation force has to be generated to pull a particle towards a focus. The fat particle considered for acoustic trapping in this paper has an acoustic impedance of 1.4 MRayls. The magnitude of the acoustic axial radiation force that has been calculated as the size of the fat particle is varied from 8lambda to 14lambda. In addition, both Fresnel coefficients at various positions are also calculated to assess the interaction of reflection and refraction and their relative contribution to the effect of the acoustical tweezer. The simulation results show that the feasibility of the acoustical tweezer depends on both the degree of acoustic impedance mismatch and the degree of focusing relative to the particle size.     

Broadband radiation modes: estimation and active control

In this paper we give a formulation of the most efficiently radiating vibration patterns of a vibrating body, the radiation modes, in the time domain. The radiation modes can be used to arrive at efficient weighting schemes for an array of sensors in order to reduce the controller dimensionality. Because these particular radiation modes are optimum in a broadband sense, they are termed broadband radiation modes. Methods are given to obtain these modes from measured data. The broadband radiation modes are used for the design of an actuator array in a feedback control system to reduce the sound power radiated from a plate. Three methods for the design of the actuator are compared, taking into account the reduction of radiated sound power in the controlled frequency range, but also the possible increase of radiated sound power in the uncontrolled frequency range.     

Theoretical and experimental investigations on microstrip active array antennas and power combiners

In this paper, microstrip active array antennas and power combiners are investigated. The mutual impedance of a rectangular microstrip patch array is analyzed based on the Richmond's reaction integral equation and Galerkin technique in spectral-domain. The computer-aided analysis and design of the active array are then carried out by coupling the mutual impedances to the large-signal characteristics of Gunn diodes with a harmonic balance technique. Based on the theoretical study, microstrip active patch array antennas are investigated experimentally.     

Optimal focusing by spatio-temporal inverse filter. I. Basic principles

A focusing technique based on the inversion of the propagation operator relating an array of transducers to a set of control points inside a medium was proposed in previous work [Tanter et al., J. Acoust. Soc. Am. 108, 223-234 (2000)] and is extended here to the time domain. As the inversion of the propagation operator is achieved both in space and time, this technique allows calculation of the set of temporal signals to be emitted by each element of the array in order to optimally focus on a chosen control point. This broadband inversion process takes advantage of the singular-value decomposition of the propagation operator in the Fourier domain. The physical meaning of this decomposition is explained in a homogeneous medium. In particular, a definition of the number of degrees of freedom necessary to define the acoustic field generated by an array of limited aperture in a focal plane of limited extent is given. This number corresponds to the number of independent signals that can be created in the focal area both in space and time. In this paper, this broadband inverse-focusing technique is compared in homogeneous media with the classical focusing achieved by simple geometrical considerations but also with time-reversal focusing. It is shown that, even in a simple medium, slight differences appear between these three focusing strategies. In the companion paper [Aubry et al., J. Acoust. Soc. Am. 110, 48-58 (2001)] the three focusing techniques are compared in heterogeneous, absorbing, or complex media where classical focusing is strongly degraded. The strong improvement achieved by the spatio-temporal inverse-filter technique emphasizes the great potential of multiple-channel systems having the ability to apply completely different signal waveforms on each transducer of the array. The application of this focusing technique could be of great interest in various ultrasonic fields such as medical imaging, nondestructive testing, and underwater acoustics.     

Acoustic irradiation of a moving uniform linear array with a transverse distribution of quadrupoles from an arbitrary disposition of radiators

A study of the acoustic irradiation of a moving uniform linear array consisting of a transverse distribution of quadrupoles with an arbitrary disposition of radiators is described. Analytic expressions for the acoustic irradiation were obtained. A mathematical simulation of the pressure amplitude-angle curve vs. array speed, aerial element number, and radiation frequency was performed. The findings may be applied to the interpretation of experimental data related to gas-jet acoustics.     

Impedance of the microstrip line for magnetostatic backward volume waves

We study excitation of magnetostatic backward volume waves on the microstrip line. The relation between the current density in the line and the normal component of the magnetic induction is found. The impedance of the line per unit length, i.e., its reactance and radiation resistance per unit length, is represented as a functional of the current density. The dependence of the operating-wave radiation resistance on the transverse size of the line and the width of the dielectric gap is studied. The radiation resistances of multistrip array and meander-type converters of magnetostatic backward volume waves are calculated