Singular Electromagnetic Fields and Sources
Devoted to a study of the infinities in electromagnetic fields and in their sources, this is a companion volume to the many available graduate textbooks on electromagnetic theory. Far from being formal, this information takes both a theoretical and numerical approach and can be used, for example, to significantly accelerate the convergence of a numerical algorithm. An analysis of the nature of singularities associated with (1) the densities of very concentrated sources, (2) the fields these sources create, and (3) the fields near geometrical singularities is presented. The material is of particular interest to applied physicists and engineers engaged in the numerical solution of electromagnetic problems.
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SINGULARITIES AT AN EDGE
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Antennas and Propagation aperture applied approaches zero becomes infinite behaviour Bladel boundary condition cavity charge density coefficients component convergence coordinates corresponding curl curl current density cylinder defined dielectric cone dielectric wedge distribution double layer dyadic Green's functions edge condition eigenfunctions eigenvectors electric current electric field electric singularity electromagnetic fields equivalent evaluation example expression finite formula given grad grad Green's dyadic H wave Helmholtz IEEE Transactions integral equation JJJv linear lines of force magnetic currents magnetic field mathematical Maxwell's equations metallic method modal expansion mode multipole expansion normal numerical obtained perfectly conducting perpendicular problem radiation rectangular region relationship respect satisfies scalar Section separation of variables shown in Fig singularity exponent Smedt solution sources spherical splitting surface current symmetry tangential term test function tions Transactions on Antennas Transactions on Microwave vanishes variation vector potential volume density waveguide Yaghjian yields