Closed-Form Expressions of the Axial Step and Impulse Responses of a Parabolic Reflector Antenna

Electromagnetic pulses radiated by parabolic antennas and similar structures are needed in many applications like air and ground penetrating radar or high power microwaves (HPM) weapons. In this paper, an approach based on Skulkin and Turchin's work and on physical optics approximation in the time domain is developed to determine the radiated fields. Closed-form time-domain expressions of the electromagnetic step and impulse responses, along the axis of a classical parabolic reflector antenna, are derived. A closed-form expression of the impulse response duration is also given. The obtained E-field and H-field formula are valid along the axis, both near and far from the reflector. Using these closed-form expressions, the radiated fields are computed by means of a convolution product of the primary source excitation and the impulse response. Numerical results have been obtained in the case of a causal sine and a generalized Gaussian impulse excitations to illustrate some specific transients effects which occur with such an antenna     

On Analysis and Optimization of an Active Cable-Mesh Main Reflector for a Giant Arecibo-Type Antenna Structural System

The active cable-mesh main reflector of a giant Arecibo-type antenna can adjust the illuminated area to a given parabolic surface in time, which is achieved with a flexible cable-mesh structure. This paper addresses the feasibility of the active cable-mesh main reflector, including accuracy adjustment and the influence of the panel curvature. The illuminate area of the reflector needs to be adjusted to a paraboloid, which is implemented by introducing a bias distribution field vector of mesh surface and least norm solution for under-determined equations. Plane panels and spherical panels are investigated. Numerical results show that a much more better surface precision can be obtained using spherical panels     

Analytic Analysis of Transient Scattering From a Finite Second-Order Surface Illuminated by an Incident Plane Wave

A closed-form analytic solution based on a time-domain (TD) physical optics (PO) approximation is developed for the scattering from a finite second-order surface when illuminated by a transient impulsive plane wave. This TD-PO solution can be applied via a convolution to derive the early time transient fields scattered from the same scatterer that is illuminated by a realistic astigmatic finite-energy pulse. The closed form TD-PO solution is obtained by inverting the corresponding frequency-domain PO solution into TD. This solution can be expressed in terms of reflection and diffraction components of the scattering mechanisms as in other conventional high-frequency asymptotic solutions. Numerical examples are presented to demonstrate its physical phenomenon of the scattering mechanisms.     

Novel Gaussian beam method for the rapid analysis of largereflector antennas

A relatively fast and simple method utilizing Gaussian beams (GBs) is developed which requires only a few seconds on a workstation to compute the near/far fields of electrically large reflector antennas when they are illuminated by a feed with a known radiation pattern. This GB technique is fast, because it completely avoids any numerical integration on the large reflector surface which is required in the conventional physical optics (PO) analysis of such antennas and which could take several hours on a workstation. Specifically, the known feed radiation field is represented by a set of relatively few, rotationally symmetric GBs that are launched radially out from the feed plane and with almost identical interbeam angular spacing. These GBs strike the reflector surface from where they are reflected, and also diffracted by the reflector edge; the expressions for the fields reflected and diffracted by the reflector illuminated with a general astigmatic incident GB from an arbitrary direction (but not close to grazing on the reflector) have been developed in Chou and Pathak (1997) and utilized in this work. Numerical results are presented to illustrate the versatility, accuracy, and efficiency of this GB method when it is used for analyzing general offset parabolic reflectors with a single feed or an array feed, as well as for analyzing nonparabolic reflectors such as those described by ellipsoidal and even general shaped surfaces     

An efficient plane wave spectral analysis to predict the focalregion fields of parabolic reflector antennas for small and wide anglescanning

An efficient approach is described for calculating the field distribution in the focal region of an electrically large, symmetric or offset parabolic reflector antenna with an arbitrary rim contour, when the concave reflector surface is fully illuminated by an obliquely incident arbitrary electromagnetic plane wave. The dominant contribution to the focal-region fields is found by transforming the physical-optics integral over the reflector surface into a plane-wave spectral (PWS) integral. The PWS integral is evaluated rapidly via the fast Fourier transform (FET) algorithm to furnish, in only a single computation, the field for every place in the focal plane (or any plane parallel to it) within the focal region for a given direction of the incident wave. The correction to the physical-optics field is relatively small in the focal region and may therefore be neglected. Numerical results based on this PWS approach are presented, and their accuracy is established by comparison with results based on other approaches     

用矢量球面波理论和互易原理分析伦伯透镜天线

伦伯透镜是一种球形分层介质天线,考虑到数值计算的复杂性,本文提出用矢量球面波理论和互易原理相结合,分析其性能。该方法首先用矢量球面波理论计算平面波入射到多层介质球的散射场,在此基础上,用互易原理将散射场转变成天线的远区辐射场。基于这种方法,本文着重研究了伦伯透镜天线的焦区场和远区场特性,包括透镜分层总数以及层与层之间存在的空气间隙对实际应用可能造成的影响。最后,对卫星通信中伦伯透镜天线多波束应用的可行性给出了分析结果。     

An efficient method for the performance analysis of bounded-wavenuclear EMP simulators

The author discusses an approach for analyzing the electromagnetic performance of bounded-wave nuclear electromagnetic pulse (NEMP) simulators. This method is extremely efficient and enables even the largest simulators to be analyzed. Typical bounded-wave EMP simulators are composed of flat-plate transmission-line sections approximated by wires. Using a priori knowledge as much as possible, the method presented obtains the current in the wave launcher's wires from an approximation of the current in a conical-plate wave launcher that generates a spherical TEM wave propagating along the radial direction. This method uses TEM-like currents obtained by approximating the TEM-mode current in the conical-plate wave launcher. The transient electromagnetic fields within the simulator's working volume are then readily computed by using efficient and analytical time-domain expressions for the fields generated by the wires. Expressions for the early-time fields and the impedance of a conical wire-mesh wave launcher are derived. Numerical results are presented for EMPSIS, a triangular-plate simulator for ships     

Optimal Radiated Waveforms From an Arbitrary UWB Antenna

Solutions are presented for the optimal electric field waveforms radiated by an arbitrary ultrawideband (UWB) antenna. Optimization criteria include maximization of the electric field amplitude at a particular time and location, or maximization of energy density over a specified time interval at a particular location. Assuming bandpass signals, constraints are placed on the total radiated energy, the Q of the antenna, and the size of the antenna. The solution is developed using a spherical mode expansion of the fields radiated by an arbitrary antenna enclosed by a spherical mathematical surface, and optimized using variational methods. A closed-form result is obtained for the case of amplitude maximization, while an integral equation must be solved numerically for the case of energy maximization in a time interval. An interesting result from these solutions is that the shapes of the optimal radiated field waveforms are largely independent of the size of the antenna. The solutions also indicate that the antenna characteristics that provide optimum field amplitude or energy in the transient case are identical to those associated with maximum gain in the CW case.     

A new method of analysis of the near and far fields of paraboloidal reflectors

An analytical technique for predicting accurately the near (electric and magnetic) fields as well as the far fields of a reflector antenna with a pencil beam is presented. The technique proposed involves the near-field geometrical theory of diffraction (GTD) analysis of reflector antennas developed earlier and spherical vector mode functions. The proposed technique does not place any restriction on the range of polar angles or radial distances of the observation point. It is demonstrated that the technique proposed can predict the fields radiated by the reflector with greater accuracy by comparing the calculated results with the available measured results. A few important applications of the analysis proposed are also highlighted.     

High-power steerable short-wave antennas

The theoretical study and model measurements on a high-power, steerable shortwave antenna covers a spherical reflector, a parabolic reflector, and a log-periodic switch-steerable-type antenna. The scale modeling facilities are described and the modeling results are presented. The spherical reflector gives reasonable good azimuth and elevation steering over the shortwave band from 5.8 MHz to 27 MHz. The parabolic reflector gives good azimuth steering, with higher gain but no vertical steering. The log periodic antenna provides a high-gain switch-steerable antenna suitable for over-the-horizon radar detection     

双锥笼型天线模拟早期HEMP环境（E1）

The simulation of the early-time High-altitude Electromagnetic Pulse (HEMP) environment (E1) with bicone-cage antenna in free space requires utilization of the spherical wave to reproduce the boundless plane wave. The transient radiation of the antenna above the lossy ground is computed using the Fi-nite-Difference Time-Domain (FDTD) method. The determining factors of the field waveform are explored and analysed on the basis of the physical evolution process of the transient radiation. The typical waveform of the electric field and the field distribution characteristics, both of which are important for HEMP simulator design and the effect tests, are presented. The study indicates that the simulation should be analysed from the perspective of both environment building and simulator applications.     

Transient field produced by a traveling-wave wire antenna

The electromagnetic fields of a transient traveling wave current on a straight wire segment are calculated directly in the time domain. Retarded potential theory is used to establish an impulse response valid in both far and near zones. A closed-form expression for the field due to a rectangular current pulse is obtained, and corresponding plots are given. Numerical results from this permit the investigation of the differences between near versus far zones and coated versus uncoated wires. Experimental findings for both coated and uncoated wires show good agreement with theory. A formula for far-zone radiation from an arbitrarily shaped wire is developed; results for a proposed directive antenna geometry are presented     

一维菲涅尔区相位修正平面反射器的聚焦特性研究

在平面上沿某一个方向进行1/P波长的相位修正,可以构成一维菲涅尔区相位修正平面。由此而得到的平面反射器可作为抛物柱面反射器的替代物来构成扇形波束天线。本文用物理光学法分析了平面波入射时该结构的聚焦特性,并给出了一组焦散区场分布的数值计算结果。     

Modal behavior of spherical waves from a source of EM radiation with application to spherical scanning

An exact analysis for deriving closed-form expressions for the coefficients of free-space spherical modes radiated by typical linear, array, and aperture type of antennas is presented. This analysis is employed to determine the number of spherical modes required to reconstruct the near/ far fields (NF/FF) with a prescribed accuracy. The analysis developed together with the theory of probe-compensated spherical scanning is also employed to arrive at a criterion for the minimum distance of separation between the probe and test antenna which will enable accurate nonprobe corrected spherical scanning possible.     

Champ à la surface ďun objet axisymétrique conducteur au voisinage ďun point focal de rayons rampants

We consider an axisymmetric obstacle illuminated by a plane wave propagating along the axis of symmetry. The surface fields in the shadow zone are given, far from the axis, by the geometrical theory of diffraction formulas. The point on the axis is a creeping wave focus and the gtd formulas predict an infinite result at this point. We compute, by using an asymptotic expansion method, a solution for the fields in the vicinity of the focus. This solution merges with gtd results far from the focus and remains bounded at the focus. Comparison with method of moment results on prolate and oblate spheroids show a good agreement.     

Field correlation diffraction theory of the symmetrical cassegrainian antenna

The received field as focused by the parabolic main reflector of a Cassegrainian antenna at the surface of an arbitrary profile subreflector is calculated by a spherical wave expansion. This facilitates the application of the field correlation principle and leads to an expression for aperture efficiency taking into account diffraction effects. A comparison is made with numerical results previously published or obtained by other methods. The potential advantage of the technique is the speed of computation and the capability for synthesis as well as analysis of reflector shapes.     

A canonical problem in transient radiation--Tthe spherical antenna

The canonical problem of a spherical metal antenna excited at an equatorial gap by an azimuthally independent step voltage is solved. The early-time and late-time behavior of the field is discussed for both nondispersive and dispersive homogeneous isotropic environments. Conclusions are drawn regarding the solution of transient radiation or scattering problems for metal bodies of arbitrary shape.     

High-frequency asymptotic formulation for prompt response of parabolic reflector antennas

This work presents some important concepts for the temporal characterization of reflector antennas based on the determination of the transient antenna response together with a useful definition of the early-time antenna radiation pattern. The concepts are useful in the analysis and design of reflector antennas intended for high resolution radars and for high capacity digital, and UWB communication systems.     

Front-to-back ratio of paraboloidal reflectors

An analysis is presented which uses the uniform geometrical theory of diffraction for determining the near fields diffracted by a paraboloid either with or without a conical flange attached to its circular rim when an axially propagated plane wave is incident on the concave or convex portion of the paraboloidal reflector. The field correlation theorem is used to determine the power coupled by a prime focus feed associated with the paraboloid which is being illuminated by a uniform plane wave. Based on this analysis, the front-to-back ratio of unflanged and flanged paraboloids is computed. Computed results show satisfactory agreement with the available measured as well as computed results based on alternative procedures. The variation in the on-axis gain on a prime-focus reflector when the feed is displaced from the focus is studied. Typical computed results are presented and compared with the available measured data. Computed results on the front-to-back ratio of paraboloids (flanged or unflanged) illuminated by a PFF whose radiated field exhibits phase variation over a constant radius are also presented