Title :
Boundary integral equation technique for the singular behavior of electromagnetic fields at the common tip of metallic and bi-isotropic cones with arbitrary cross section
Author :
Olyslager, Frank
Author_Institution :
Lab. of Electromagn. & Acoust., Ghent Univ., Belgium
fDate :
9/1/1994 12:00:00 AM
Abstract :
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
Keywords :
Green´s function methods; boundary-elements methods; electromagnetic field theory; electromagnetic fields; integral equations; metals; numerical analysis; Galerkin method of moments; Green´s function; Legendre function; bi-isotropic cones; boundary integral equations; common tip; cross section; electromagnetic fields; first kind; metallic cones; perfectly electrically cones; perfectly magnetically conducting cones; singular field behavior; spherical surface; Dielectrics; Eigenvalues and eigenfunctions; Electromagnetic fields; Geometry; Helium; Integral equations; Kernel; Message-oriented middleware; Moment methods; Sections;
Journal_Title :
Antennas and Propagation, IEEE Transactions on