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Solution of equations for current distribution

Solution of equations for current distribution

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In the preceding chapters methods have been explained for approximation of the geometry of surfaces or wires and of current distributions over these surfaces or along these wires. Some approximations of the actual excitation of the structures have been proposed which permit relatively simple treatment of real excitation regions. The general expressions for the potentials and the electric and magnetic-field vectors have also been derived. Determination of the unknown coefficients in the expression for current distribution therefore represents the only remaining step in the analysis of metallic antennas and scatterers. As already mentioned, this can be achieved by solving numerically any of a number of known integral or integro-differential equations that can be formulated for the unknown current distribution, some of which were outlined in Section 1.3. This chapter is devoted to discussing these equations in more detail, to justifying the adoption of one of them, and to explaining the reasons for adopting a specific procedure (the Galerkin method) for solving this equation for the unknown current-distribution coefficients. Finally, explicit expressions for the elements of the so-called impedance matrix in the Galerkin method are derived.

Inspec keywords: wires (electric); antennas; impedance matrix; electric fields; electromagnetic wave scattering; geometry; Galerkin method; magnetic fields; integro-differential equations

Other keywords: magnetic field vectors; excitation regions; impedance matrix; Galerkin method; wires; geometry; electric field vectors; integral equations; integro-differential equations; metallic antennas; current distribution; scatterers

Subjects: Electromagnetic wave propagation

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