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• W2187366151 abstract "An infinitesimally thin-square scatterer, of size , excited normally by an incident plane wave, which is polarized along a scatterer edge, is analyzed. The accurate solution of its current distribution is found in the form of double series of basis functions, which automatically satisfy the continuity equation at plate edges and include the edge effect. The coefficients that multiply basis functions are determined starting from the electric field integral equation by using the Galerkin method. The solution obtained for the order of approximation is adopted as a benchmark. The corresponding coefficients are tabulated and graphs of such obtained current distribution are given. The solution adopted as a benchmark is applied for comparison of rooftop basis functions and polynomial entire-domain basis functions. The relative error of the mean absolute value of current deviation is used as an error metric. of basis functions multiplied by unknown coefficients. Basis functions are adopted in the special form, which automatically satisfies the continuity equation at plate edges and includes the edge effect. The development of basis functions applied is presented in the third section. Unknown coefficients are determined by the Galerkin method. The solution adopted as a benchmark (coefficients determined and such obtained current distribution) is given in the fourth section. The solution adopted as a benchmark is used for comparing rooftop basis functions and polynomial entire-domain basis functions, as shown in the fifth section. II. CHOICE OF PLATE-STRUCTURE BENCHMARK AND ERROR METRIC The main goal of electromagnetic modeling of plate struc- tures based on the method of moments is to determine the current distribution. When the current distribution is known, all other quantities of interest can be easily calculated. Therefore, the error metric should be directly connected with the current distribution. Most often, structures analyzed contain edges. Current dis- tribution exhibits quasi-singular behavior in the vicinity of edges. Such behavior is more pronounced in the vicinity of a free plate edge than in the vicinity of an edge which is common for two or more plates. Hence, the structure used for comparison of analysis methods should contain free edges. The simplest such structure is a square-plate scatterer. The scatterer should be sufficiently large in order that accuracy of the analysis can be investigated in the large range of the number of unknowns. Hence, the structure used for the comparison of analysis methods is adopted in the form of infinitesimally thin-square scatterer of size , excited by normally incident plane wave. The effective value of plane wave electric field intensity is V/m. At the first glance, it seems that the accuracy of the solution for current distribution of square-plate scatterer can be estimated on the base of root mean square (rms) value of the current deviation. The corresponding relative error is evaluated as" @default.
• W2187366151 created "2016-06-24" @default.
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• W2187366151 date "1998-01-01" @default.
• W2187366151 modified "2023-09-27" @default.
• W2187366151 title "Accurate Solution of Square Scatterer as Benchmark for Validation of Electromagnetic Modeling of Plate Structures" @default.
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