Modification of Backscattering of a Sphere by Attaching Loaded Wires

A new technique for modifying the backscattering cross section of a metallic sphere is presented. This method consists of attaching thin, loaded wires symmetrically to the sphere. When this composite structure is illuminated by a plane wave, currents are induced on the sphere and the loaded wires. The induced current on the wires can be modified by the proper adjustment of loading impedance in such a way that the total backscattering from the composite structure is either minimized or maximized. Experimental and theoretical studies on this method are presented and the results compared. A technique for bandwidth improvement of this method is also included.     

The backscattering from two identical circular loops

A study on the backscattering from two identical perfectly conducting thin circular loops illuminated by a plane electromagnetic wave with vertical polarization at normal incidence is presented. The theory is developed based on differential equations for the loop current rather than on an integral equation method. The induced current on the loops and the backscattering cross sections of the loops are determined, and comparisons are made between the calculated and measured values of the echo area. The experimental results are in good agreement with theory.     

Electromagnetic scattering from arbitrary configurations of wires

A general formulation is presented for the treatment of electromagnetic scattering from an arbitrary configuration of thin wires. A system of integral equations is derived for obtaining the currents in the wires.     

Rayonnement d’une grille plane de fils continus et discontinus

This paper relates the scattering of a electromagnetic plane wave by a plane grating of conducting wires. The wires are parallel, equidistant and alternatively continuous and discontinuous. The discontinuous wires may be considered as dipole lines. The problem is numerically resolved. The conductor currents are determined by means of a system of first kind integral equations which is converted in a linear equations system by the moments method. The knowledge of currents permits the calculation of the reflection and transmission factors of the grating. Thus a matched state and a resonant state appear for discrete frequencies, where the transmission factor modulus is respectively 1 and 0. Experimentation on waveguide simulators gives a good agreement with numerical results.     

Diffraction Efficiencies for Infinite Perfectly Conducting Gratings of Arbitrary Profile

Integral equations are obtained for the currents induced on an infinite perfectly conducting grating by a plane wave. The integral equations are approximated by matrix equations which are readily solved for the currents. Once the currents are known one can obtain the strengths of the grating modes. Numerical results are obtained for specific cases which have been considered previously in some optical experiments by Madden and Strong. The theoretical results are consistent with the conservation of energy. However, there are discrepancies with the experimental results. An equivalent problem of reflections in a terminated waveguide is also considered and good agreement between theory and experiment is obtained. The technique is extendible to dielectric gratings.     

Nouvelle classe de simulateurs permettant la caractérisation de dispositifs embarqués sur des structures de grandes dimensions

This paper presents the qualification of an iemn exploitation original system, intended to create a realistic electromagnetic environment on large structures (planes, missiles, land vehicles). It consists in a horizontal polarization transmission line simulator which is supplied by a high voltage generator. The transient currents, induced on the wires, are solved by using integral equations in the space-time domain. The electromagnetic fields evaluated inside the working volumes are determined in each point and at each time. We include numerous comparisons with the experiments carried out by the Centre d’études de Gramat.     

Calculation and experimental validation of induced currents on coupled wires in an arbitrary shaped cavity

An efficient numerical technique is presented for the calculation of induced electric currents on coupled wires and multiconductor bundles placed in an arbitrary shaped cavity and excited by an external incident plane wave. The method is based upon the finite-difference time-domain (FD-TD) formulation. The concept of equivalent radius is used to replace wire bundles with single wires in the FD-TD model. Then, the radius of the equivalent wire is accounted by a modified FD-TD time-stepping expression (based on a Faraday's law contour-path formulation) for the looping magnetic fields adjacent to the wire. FD-TD computed fields at a virtual surface fully enclosing the equivalent wire are then obtained, permitting calculation of the currents on the wires of the original bundle using a standard electric field integral equation (EFIE). Substantial analytical and experimental validations are reported for both time-harmonic and broad-band excitations of wires in free space and in a high-Qmetal cavity.     

A generalized expansion for radiated and scattered fields

At a given frequency every perfectly conducting obstacle has associated with it a particular set of surface currents and corresponding radiated fields which are characteristic of the obstacle shape and independent of any specific excitation. These characteristic modes form a useful basis set in which to expand fields radiated or scattered at a great distance from the obstacle. Once these modes are known for a given obstacle, the scattering of plane waves incident from arbitrary source directions into arbitrary receiver directions may be evaluated concisely. To support the theory, a method is described for determining characteristic mode currents on thin wires of general shape and is applied to several shapes to generate certain backscattering and input admittance data. Wherever possible comparison is made with existing data.     

Scattering by imperfectly conducting wires

An integral equation is developed for the current induced in a slender, imperfectly conducting wire of finite length by an incident plane wave. A system of linear equations is generated by enforcing the integral equation at a discrete set of points on the axis of the wire, and these equations are solved to determine the current distribution. The scattered fields and the echo area are then calculated in a straightforward manner. Numerical results are presented for the backscatter echo area of copper, platinum, and bismuth wires at the broadside aspect with lengths up to1.8lambda. These calculations show good agreement with experimental measurements. In addition, graphs are included to show the current distributions on these wires at the second resonance, the echo-area patterns for oblique incidence, and the broadside echo-area curves for perfectly conducting wires and copper wires with lengths up to3.54lambda.     

The Analysis of Monopole Antennas Located on a Spherical Vehicle: Part 2, Numerical and Experimental Results

Presented are various numerical results illustrating the behavior of thin monopole antennas located on a perfectly conducting sphere. The method of analysis, described in a previous paper, uses an integral equation solution for the unknown wire currents, and a modified Green's function to limit the range of integration to over the wires only. Studies are made of the input quantities, radiated currents and induced sphere currents for various antenna geometries. A comparison of the computed input impedance of monopole on the sphere is made with experimental data and good agreement is noted.     

AIM Analysis of Scattering and Radiation by Arbitrary Surface-Wire Configurations

The adaptive integral method is utilized to solve electromagnetic scattering and radiation problems of conducting surface-wire configurations. The method of moments (MoM) is applied to establish the integral equations where triangular type basis functions are used to represent the currents on surfaces and wires. Attachment mode has been used to model the surface-wire junction to ensure the current continuity. The resultant matrix system is then solved by an iterative solver where the adaptive integral method (AIM) is employed to reduce memory requirements and to accelerate the matrix-vector multiplications. Numerical results are presented to demonstrate the accuracy and efficiency of the present technique for the arbitrary surface-wire configurations     

Integral equation method in problems of electromagnetic-wave reflection from inhomogeneous interfaces between media

Problems on reflection of a plane electromagnetic wave from various irregular interfaces between media are studied by the integral equation method in the cases of two- and three-dimensional incident electromagnetic field. The reflecting surfaces are meant as periodic transparent interfaces between two media and plane boundaries with locally inhomogeneous and transparent sections. The boundary value problems for the system of Maxwell’s equations in an infinite domain with an irregular boundary are reduced to Fredholm or singular integral equations, depending on the problem considered. Numerical algorithms for solving such integral equations are developed. Results of calculation of currents induced on inhomogeneities and characteristics of the electric field in the far zone are presented.Problems on reflection of a plane electromagnetic wave from various irregular interfaces between media are studied by the integral equation method in the cases of two- and three-dimensional incident electromagnetic field. The reflecting surfaces are meant as periodic transparent interfaces between two media and plane boundaries with locally inhomogeneous and transparent sections. The boundary value problems for the system of Maxwell’s equations in an infinite domain with an irregular boundary are reduced to Fredholm or singular integral equations, depending on the problem considered. Numerical algorithms for solving such integral equations are developed. Results of calculation of currents induced on inhomogeneities and characteristics of the electric field in the far zone are presented.     

Electromagnetic scattering for oblique incidence on impedancebodies of revolution

Combined field integral equations for the surface currents induced by an obliquely incident wave on a rotationally symmetric body are considered. The relative surface impedance is independent of the azimuthal angle but may vary along the profile of the scatterer in any plane containing the axis of symmetry; the currents are conveniently expressed in terms of Fourier series of uncoupled terms in the azimuthal angle. Simple integral expressions for the far field are given and a computer code is described and tested on a variety of scatterers. Geometry of scatterer, surface impedance and Fourier harmonics of induced currents are described by splines. The results are in agreement with physical interpretation     

Full-wave analysis of coupled perfectly conducting wires in amultilayered medium

A full-wave analysis of coupled perfectly conducting cylindrical wires in a multilayered dielectric medium is presented. The analysis is based on a Fourier series expansion of the unknown surface currents on each wire and on an integral equation for the longitudinal field on the wires. The calculations are not restricted to the propagation constants of the different modes, but explicit results are presented for the impedances associated with each wire and each eigenmode as a function of frequency. Propagation constants, longitudinal currents on the wires, and impedances lead to a complete equivalent circuit for the structures being considered     

A new approach to diffraction analysis of conductor grids. I.Parallel-polarized incident plane waves

Diffraction analysis is presented for infinite planar conducting-cylinder grids illuminated by normally incident (parallel-polarized) plane waves, the electric fields of which are parallel to the cylinder axes. The Green's function kernel integral equations are used for the induced currents, which are based on the equivalent waveguide theory and solved for the currents by the moment method. This is a universal analysis approach, applicable to infinite planar grids made of conducting cylinders of arbitrary cross section, uniform or periodic, dense or sparse, single layer or multilayer     

Surface currents on impedance bodies of revolution

The surface currents induced by a plane wave axially incident on a rotationally symmetric body are determined by solving numerically extended form of Maue's integral equation. The relative surface impedance is independent of the azimuthal angle but may vary along the profile of the scatterer in any plane containing the axis of symmetry. Numerical results are shown for a sphere and a cone-sphere that are either perfectly conducting or perfectly absorbing. Apart from internal resonances, the computer code is found to provide accurate results well into the high-frequency region. A simple line-integral representation of the far field is given, and internal resonances are discussed for the backscattering radar cross section of a perfectly conducting and a perfectly absorbing sphere     

Electromagnetic response of two crossing, infinitely long, thinwires

The electromagnetic coupling of two crossed thin wires of infinite length is considered. Two coupled integral equations are obtained, given in terms of generalized impedance functions, for the spectral currents flowing in each wire. The wires may be in a homogeneous medium or over a half-space. The numerical implementation focuses, however, only on the former. The numerical solution may be obtained by either applying moment or multiple scattering methods. The solution obtained from the method of moments is applicable for any wire spacing. Obversely, the multiple scattering method leads to a convenient matrix series solution, which shows that the coupling between wires is proportional to 1/d ² (where d is the wire separation) plus higher order scattering terms     

周期性结构电磁感应电流宽带特性的快速计算

采用MOM法将周期结构的电场积分方程转化为关于感应电流的矩阵方程和频率导数矩阵方程，并根据Pade逼近理论由给定频率处的频率导数感应电流确定周期性结构在任一频率入射波照射下的感应电流，进而计算周期性结构的电磁感应电流宽带特性。计算结果表明，AWE在计算速度上比MOM可加快十几倍。     

Electromagnetic diffraction from a dielectric-filled slit-cylinderenclosing a cylinder of arbitrary cross section: TM case

A simple moment solution to the problem of the diffraction of a TM plane wave from an infinite, perfectly conducting slotted cylinder of an arbitrary cross section is summarized. The slit cylinder encloses a smaller perfectly conducting cylinder of an arbitrary cross section, and the space between the cylinders is filled with a dielectric material. The equivalence principle is used to obtain a set of coupled integral equations for the induced/equivalent surface currents on the cylinders, and the method of moments is used to solve numerically the integral equations. The electric field integral equation formulation is used. The advantages and the limitations of the method are discussed. Sample results for the induced current, aperture field, internal field, and scattering cross sections are given. These are in good agreement with some of the available published data     

An efficient method for the analysis of a structure comprising an appendage attached to a planar surface of a conducting body

A technique is presented to efficiently solve for the currents on an appendage, e.g., antenna, attached to a planar surface of a conducting body. The appendage may be embedded in a homogeneous, dielectric material. The technique presented alleviates the complications associated with the point where the appendage is attached to the body. To illustrate the method, a wire antenna attached to an axisymmetric body is analyzed in detail. A set of coupled integral equations are formulated, appropriate quantities are expanded into Fourier modes, and coupled integral equations are derived for the Fourier coefficients of the unknowns. These equations are solved and the input admittance of the wire antenna is determined from the computed currents and is corroborated by measurements.