Near-field far-field transformations using spherical-wave expansions

Spherical-wave expansions are a well-known technique of expressing electromagnetic field data. However, most previous work has been restricted to idealized cases in which the expansion coefficients are obtained analytically. In this paper spherical-wave expansions are used as a numerical technique for expressing arbitrary fields specified by analytical, experimental, or numerical data. Numerical results on the maximum wave order needed to expand fields arising from a source of a given size are given for two practical cases, and it is found that the generally accepted wave order cutoff value corresponds to 99.9 percent or more of the power in the input pattern. Near-field patterns computed from far-field data are compared to measured data for the two cases, demonstrating the excellent numerical accuracy of the technique.     

Near-field far-field predictions from single-intensity-planar-scan phase retrieval

Simulations are presented which demonstrate the feasibility of far-field predictions from a single near-field intensity planar scan using a phase-retrieval algorithm with spectral propagation.<>     

Near-field analysis of spherical loop arrays

In a recent paper (see ibid., vol.42, p473-7, April 1994), the authors presented the development of an algorithm for the reconstruction of element currents of a spherical loop array given the far-field pattern data in an azimuthal plane, and demonstrated the validity of the method with several computational examples. In this letter, it is shown that the same algorithm can be applied to the reconstruction of the spherical loop-array currents from the near-field data by application of spherical wave expansion of the electric field integral of the array. The main feature of the reconstruction algorithm is that the array currents are obtained recursively through the solution of a triangular equation set     

基于散射分布函数模型的近远场变换技术研究

全尺寸目标的电磁散射特性测试,需要足够大的测试距离或紧缩场系统,但是建设满足远场条件的室外静态场与室内紧缩场需要巨大的经费投入和很高的技术条件,更无法对飞行器进行现场成像与雷达散射截面(Radar Cross Section,RCS)诊断.针对近距离测试检定飞行器隐身性能的需求,提出了基于散射分布函数模型的近远场变换算法.建立三维散射分布函数模型,采用三维扫描方式记录近场数据,将球面波函数分别在柱坐标系、三维直角坐标系与球坐标系下展开,变换得到目标的远场数据,通过三维逆傅里叶变换与插值算法给出目标的三维重建图像与远场RCS.仿真分析与实验表明,算法准确有效.     

Near-field far-field transformation in time domain from optimalplane-polar samples

This paper presents a new approach to the time-domain near-field far-field transformation technique introduced by Hansen and Yaghijan (1994) and is based either on a time-domain or frequency-domain scheme. The approach presented here attempts to overcome the main drawbacks of this technique related to the computer time and memory requirements, which could make unrealistic the application of the technique to cases of practical interest. To this end, the advanced representation of the (time and frequency domain) near field previously introduced by the authors, which requires a minimum number of nonequispaced field samples, are exploited. This leads to new relationship between the near-field measured samples and the far field, which requires a minimal set of time-space measurements. Various computational schemes are considered and compared showing that the presented algorithm requires a reduced measurement effort, computer time, and memory occupancy, while allowing a lower far-field reconstruction error for a fixed number of measurements     

Near-field investigation of uniform periodic monopole arrays

Measurements of amplitude and phase of the fields close to a number of driven periodic arrays of monopoles have been made to determine frequency dependence of the propagation constant for such structures. The results have been analyzed, where possible, in terms of a single traveling wave along the structure, and dispersion curves are given which include attenuation as well as phase shift. These curves clearly illustrate the possibility of obtaining leading phase shift along the periodic structure that will produce backfire radiation. Experimental radiation patterns corroborate the near-field results. A simple theory is given for the backfire phasing in terms of the space-harmonic content of a Fourier series expansion for the fields of periodic structures. This theory predicts beam scanning for the periodic structures which is readily observed in the experimental models. The measured data are approximately applicable to tapered versions of the periodic structures which have log-periodic geometry. Examples of periodic structures that have frequency independent log-periodic counterparts as well as some that do not are discussed.     

Near-field/far-field azimuth and elevation angle estimation using asingle vector hydrophone

This paper introduces a new underwater acoustic eigenstructure ESPRIT-based algorithm that yields closed-form direction-of-arrival (DOA) estimates using a single vector hydrophone. A vector hydrophone is composed of two or three spatially co-located but orthogonally oriented velocity hydrophones plus another optional co-located pressure hydrophone. This direction finding algorithm may (under most circumstances) resolve up to four uncorrelated monochromatic sources impinging from the near-field or the far-field, but it assumes that all signal frequencies are distinct. It requires no a priori knowledge of the signals' frequencies, suffers no frequency-DOA ambiguity, and pairs automatically the x-axis direction cosines with the y-axis direction cosines. It significantly outperforms an array of spatially displaced pressure hydrophones of comparable array-manifold size and computational load but may involve more complex hardware. This work also derives new Cramer-Rao bounds (CRBs) for various vector hydrophone constructions of arrival angle estimates for the incident uncorrelated sinusoidal signals corrupted by spatio-temporally correlated additive noise     

Near-field quasi-null control with far-field sidelobe levelmaintenance in line source distributions

An improving method, based on the Taylor line source, that allocates a quasi-null in a specified angular position of near-field pattern, and simultaneously controls the general topography of the far-field sidelobe level without significant loss of directivity, compared with optimal efficiency Taylor distribution, of the latter, is presented. The method is based on the application of the simulated annealing technique, by achieving the complex roots of the pattern distribution. An example is developed that demonstrates this accomplishment     

半导体激光器阵列的远场分布模型和分布特性研究

从亥姆霍兹方程出发,以单管半导体激光器(LD)分布特性为基础,提出了半导体激光器阵列(LDA)远场分布模型,模型理论仿真结果与LDA实际测试数据符合地很好,实验结果表明:在LDA能量分布95%的主要区域内,该理论模型拟合测量数据的误差小于5%.且理论模型和实验结果同时证明:在传输距离达到一定值后,LDA光束截面的光强分布在平行结平面方向一直呈双峰结构.     

Time evolution of pulsed far-field patterns of GaAlAs phase-locked laser-diode arrays

The time evolution of pulsed far fields from commercially available gain-guided phase-locked arrays has been studied and compared to experimental results previously obtained by streak camera measurements, and to predictions of coupled-mode theories developed for index- and gain-guided arrays. Although phase locking is evident by 100 ps into the drive pulse, stable operation in a fixed superposition of array modes is not achieved until 1-2 ns after the drive pulse has stabilized.     

Technique for fast and accurate prediction of antenna far-field patterns

A technique for the fast prediction of antenna far-field patterns is described in which a pillbox antenna is used as the probe. The processing involves transformation of 1-D arrays, and the validation is provided by comparing the measured and predicted patterns of a parabolic reflector.     

Frequency stabilization of power-combining grid oscillator arrays

In this paper, we report the results of phase locking of grid oscillator arrays. First, a voltage-controlled grid oscillator array with a center frequency of 4.7 GHz and with a 300-MHz electric tuning range was locked to a frequency synthesizer through a phase-locked loop. Second, a 4 × 4 and a 6 × 6 grid oscillator arrays were locked by way of the injection locking. In both methods, a simple loop antenna mounted on the reflection mirror was used for taking/injecting signals from/to the array. Results show that the phase noise performance is improved significantly in the locked oscillator arrays     

Near-field to near/far-field transformation for arbitrarynear-field geometry utilizing an equivalent electric current andMoM

Presented here is a method for computing near- and far-field patterns of an antenna from its near-field measurements taken over an arbitrarily shaped geometry. This method utilizes near-field data to determine an equivalent electric current source over a fictitious surface which encompasses the antenna. This electric current, once determined, can be used to ascertain the near and the far field. This method demonstrates the concept of analytic continuity, i.e., once the value of the electric field is known for one region in space, from a theoretical perspective, its value for any other region can be extrapolated. It is shown that the equivalent electric current produces the correct fields in the regions in front of the antenna regardless of the geometry over which the near-field measurements are made. In this approach, the measured data need not satisfy the Nyquist sampling criteria. An electric field integral equation is developed to relate the near field to the equivalent electric current. A moment method procedure is employed to solve the integral equation by transforming it into a matrix equation. A least-squares solution via singular value decomposition is used to solve the matrix equation. Computations with both synthetic and experimental data, where the near field of several antenna configurations are measured over various geometrical surfaces, illustrate the accuracy of this method     

A new technique of synthesis of the near- or far-field patterns of arrays

A unified approach for synthesizing the near- or far-field radiation patterns of an array of uniformly or nonuniformly spaced point sources or directive elements located on a planar contour of arbitrary shape is presented. The synthesis problem is formulated employing the free-space Green's dyadic as well as the translational and rotational addition theorems for spherical vector wave functions. A similar unified approach for synthesizing the near- or far-field radiation patterns of a uniformly or nonuniformly spaced linear array of point dipoles is also presented. The validity of the technique presented is established with several typical numerical illustrations.     

Scanning and prediction in multidimensional data arrays

The problem of sequentially scanning and predicting data arranged in a multidimensional array is considered. We introduce the notion of a scandictor, which is any scheme for the sequential scanning and prediction of such multidimensional data. The scandictability of any finite (probabilistic) data array is defined as the best achievable expected "scandiction" performance on that array. The scandictability of any (spatially) stationary random field on /spl Zopf//sup m/ is defined as the limit of its scandictability on finite "boxes" (subsets of /spl Zopf//sup m/), as their edges become large. The limit is shown to exist for any stationary field, and essentially be independent of the ratios between the box dimensions. Fundamental limitations on scandiction performance in both the probabilistic and the deterministic settings are characterized for the family of difference loss functions. We find that any stochastic process or random field that can be generated autoregressively with a maximum-entropy innovation process is optimally "scandicted" the way it was generated. These results are specialized for cases of particular interest. The scandictability of any stationary Gaussian field under the squared-error loss function is given a single-letter expression in terms of its spectral measure and is shown to be attained by the raster scan. For a family of binary Markov random fields (MRFs), the scandictability under the Hamming distortion measure is fully characterized.     

Improved reliability in small multichip ball grid arrays

The subject of this paper is a 14×22 mm ball grid array (BGA) integrated circuit assembly containing two or three chips. Three failure modes came to light in the reliability testing of this BGA package: delamination of solder resist from the top copper layer occurred in moisture resistance testing; cracking of the top layer solder resist and consequent cracking of the top copper layer occurred in temperature cycling; and cracking of the bottom layer solder resist which propagated into the bottom copper layer occurred in thermal shock. The failure analysis techniques used to disclose these failures are presented. Finite element analysis of thermomechanical stress within the multichip structure was carried out. The purpose was to find the root cause of one of the failure modes and to explore possible means of overcoming the stress damage. The characteristics of the original and modified substrate layout designs are detailed. The improved performance in reliability testing is compared with the original. All failure modes were eliminated in the final design, and the product was qualified to greatly improved reliability standards.     

Microwave modeling of 2-D active grid antenna arrays

A new measurement technique for determining the broadband driving point impedance of large two-dimensional active grid arrays is presented. The active array radiates a plane wave in the broadside direction when all elements are locked in phase. For analysis, the array is reduced to a single unit cell by exploiting the array symmetries. The driving point impedance of the unit cell is determined by using the dielectric waveguide measurement method (DWM). The approximations of the method are discussed, and the method is compared with other measurement techniques. Results are presented for four square arrays: dipole, bow-tie, double-vee and slot array. The measurement method is verified by comparing it to the full-wave theory in the whole range. It is shown that all four antenna arrays can be represented by very simple circuits that use only transmission lines as circuit elements. The bow-tie array is found to represent the best choice for broadband operation     

Optimal far-field focusing of uniformly spaced arrays subject to arbitrary upper bounds in nontarget directions

A new approach providing new theoretical results to the optimal far-field focusing of uniformly spaced arrays, subject to a completely arbitrary mask for sidelobe bounds, is presented and discussed. In both cases of linear or planar arrays (with rectangular boundaries), it is first shown that the problem can be formulated, without any loss to performances on the maximum, as a linear programming one, guaranteeing a globally optimal solution. Second, a sufficient uniqueness criterion for the solution of the overall problem is also developed, which shows how the solution may not be unique (as is actually the case) when planar arrays are considered. In addition, further globally effective optimization procedures are proposed for the latter case in order to optimize directivity, smoothness of excitations, or other performance parameters in the set of equivalent solutions. Last, an extension to planar arrays with a nonrectangular boundary is also given. A thorough numerical analysis confirms the effectiveness of the approach proposed and of the solution codes developed.