In this paper, a multimode equivalent network representation (MEN) is proposed for the scattering from a multistrip grating. Previously, rigorous analytical results were developed involving gratings with one or two st...
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In this paper, a multimode equivalent network representation (MEN) is proposed for the scattering from a multistrip grating. Previously, rigorous analytical results were developed involving gratings with one or two strips in a period. In this paper, the MEN representation is extended to planar gratings with an arbitrary number of strips or apertures per unit cell. Both TE and TM incidence are described. The extension is obtained combining the MEN formulation with the Method of Moments solution (MoM) of the relevant integral equation. The code thus obtained retains the key feature of the MEN representation, namely the frequency independence of the characterization, and is much more flexible than the analytical solutions previously derived. The MoM solution procedure is described in detail and several application examples are discussed.
A boundary integral equation technique is developed to determine the singular field behavior at the common tip of lossless bi-isotropic and perfectly electrically and/or magnetically conducting cones with arbitrary cr...
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A boundary integral equation technique is developed to determine the singular field behavior at the common tip of lossless bi-isotropic and perfectly electrically and/or magnetically conducting cones with arbitrary cross section. The kernel of the set of boundary integral equations is a Green's function defined on a spherical surface. This Green's function is the associated Legendre function of the first kind. The integral equations are solved with the Galerkin method of moments. The theory is illustrated with a number of examples that show the effects of bi-isotropy on the singular field behavior.
The classification and recognition of two-dimensional patterns independently of their position, orientation, and size by using high-order networks are discussed. A method is introduced for reducing and controlling the...
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The classification and recognition of two-dimensional patterns independently of their position, orientation, and size by using high-order networks are discussed. A method is introduced for reducing and controlling the number of weights of a third-order network used for invariant pattern recognition. The method leads to economical networks that exhibit high recognition rates for translated, rotated, and scaled, as well as locally distorted, patterns. The performance of these networks at recognizing typed and handwritten numerals independently of their position, size, and orientation is compared with and found superior to the performance of a layered feedforward network to which image features extracted by the method of moments are presented as input.
The modeling of electromagnetic scattering and radiation problems using the method of moments (MoM) is limited to resonant frequencies because of the extensive computational requirements of solving large matrix equati...
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The modeling of electromagnetic scattering and radiation problems using the method of moments (MoM) is limited to resonant frequencies because of the extensive computational requirements of solving large matrix equations. In this study, a multilevel formulation of MoM is presented which allows substantial computational savings and, thus, extends the application of MoM to higher frequencies. Using a hierarchy of discretization levels, the multilevel technique extracts different modal components of the solution by focusing on a specific portion of the spectrum of the solution at a given level. The fundamental features of this process for the MoM solution of the electric field integral equation (EFIE) are developed and implemented. This multilevel MoM allows the rapid evaluation of the current distributions on a variety of 2-D scatterers with thousands of unknowns in fewer than ten cycles and in fractions of the normal CPU times. The method is stable, fast, suitable for multiple excitations, and adaptable as a ''solve'' module for almost any MoM code.
The application of the mixed potential and dyadic Green's function approaches to the numerical solution of surface integral equation formulations for electromagnetic radiation and scattering problems is briefly re...
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The application of the mixed potential and dyadic Green's function approaches to the numerical solution of surface integral equation formulations for electromagnetic radiation and scattering problems is briefly reviewed. The convergence rates of these two methods are compared for the problem of electromagnetic scattering by a two-dimensional flat strip. It is found that both methods converge well for this geometry. When the strip is subdivided in a particular manner with pulse expansion functions, however, the dyadic Green's function approach converges very rapidly.< >
Several bounds have been reported recently for the trace of the solution to the discrete algebraic matrix Riccati equation. This note adds an alternative one to them.
Several bounds have been reported recently for the trace of the solution to the discrete algebraic matrix Riccati equation. This note adds an alternative one to them.
A generic formulation for a hybrid finite element solution for three-dimensional electromagnetic scattering is given using the equivalent current approach. The major computational tasks involved in monostatic scatteri...
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A generic formulation for a hybrid finite element solution for three-dimensional electromagnetic scattering is given using the equivalent current approach. The major computational tasks involved in monostatic scattering calculations are analyzed and compared as a function of the method of implementing the near field radiation condition, i.e. Method of Moments (MOM), modal expansion (Mie series), body of revolution (BOR). A new method utilizing a BOR formulation is given which addresses these computational issues. This BOR implementation utilizes Hermite cubic basis functions and a variable number of modes per basis function in order to achieve the greatest efficiency. The combined field integral equation formulation is employed to eliminate non-physical resonances of the mesh boundary. Examples are given showing the efficiency and accuracy of this BOR code by itself, and as part of this new hybrid finite element method.
Four application problems are presented which have been found to facilitate introductory instruction on numerical methods for undergraduate electrical engineering students. The method of moments (MOM) is introduced at...
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Four application problems are presented which have been found to facilitate introductory instruction on numerical methods for undergraduate electrical engineering students. The method of moments (MOM) is introduced at the level of first principles, preparing students for subsequent advanced topics in matrix methods and developments through linear vector space theory. The problems are such that the associated computer programming assignments are straight forward, minimizing distraction from the mathematical concepts. Numerical solutions may be obtained, or verified, with a pocket calculator in some cases. Computer programs to obtain more sophisticated graphics output and to expedite solution of equations with large matrices can be progressively added as supplementary student exercises.
Waveguide coupling and radiation by means of apertures is modelled using a hybrid technique which combines the finite element method with the moment method. Unlike the conventional pulse expansion and point matching t...
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Waveguide coupling and radiation by means of apertures is modelled using a hybrid technique which combines the finite element method with the moment method. Unlike the conventional pulse expansion and point matching technique, it ensures the convergence of the resultant admittance matrix elements without introducing any assumptions about the field distribution on the apertures. Coupling and radiation problems formed by a conventional transverse slot in rectangular waveguide and a complex T-shaped slot in a bifurcated waveguide are examined respectively, and excellent agreement has been obtained for both cases when compared both with alternative theoretical predictions and with measurements.
The problem considered is that of a wire penetrating a circular aperture in an infinite conducting screen and entering a circular cylindrical cavity. An approximate method is developed for evaluating the fields outsid...
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The problem considered is that of a wire penetrating a circular aperture in an infinite conducting screen and entering a circular cylindrical cavity. An approximate method is developed for evaluating the fields outside the cavity for observation points located far from the aperture. Results are presented in the frequency domain which compare this far-field approximation to the method of moments solution. The presence of interior resonance features in the exterior fields is discussed.
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