Title :
Nystrom-Type Method in Three-Dimensional Electromagnetic Diffraction by a Finite PEC Rotationally Symmetric Surface
Author :
Bulygin, Vitaliy S. ; Nosich, Alexander I. ; Gandel, Yuriy V.
Author_Institution :
Lab. of Micro & Nano Opt., Inst. of Radio-Phys. & Electron., Kharkiv, Ukraine
Abstract :
Time-harmonic electromagnetic wave diffraction by a perfectly electrically conducting (PEC) finite rotationally symmetric surface located in free space is investigated. The problem is split to independent azimuth orders and reduced to the sets of coupled hypersingular and singular integral equations (IEs) for the surface current components. These IEs are discretized by the Nystrom-type method of discrete singularities using the interpolation type quadrature formulas. From the solutions of corresponding matrix equations the near- and the far-field patterns are obtained. The presented method has guaranteed convergence for arbitrary not axially symmetric primary field.
Keywords :
electromagnetic wave diffraction; integral equations; integration; interpolation; matrix algebra; Nystrom-type method; coupled hypersingular equation; far-fíeld pattern; finite PEC rotationally symmetric surface; free space location; independent azimuth order; interpolation type quadrature formula; matrix equation; near-fíeld pattern; perfectly electrically conducting finite rotationally symmetric surface; singular IE; singular integral equation; surface current component; three-dimensional electromagnetic wave diffraction; time-harmonic electromagnetic wave diffraction; Convergence; Integral equations; Kernel; Optical surface waves; Scattering; Surface waves; Vectors; Body of revolution (BOR); focusing; interpolation type quadrature formulas; radar cross-section; scattering; singular and hypersingular integral equations;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2012.2209194