# PDE techniques for solving the problem of radar scattering by a body of revolution

Article Abstract:

Radar scattering by a body of revolution can be solved either of two partial differential equations (PDE), the finite difference (FD) and finite element mesh (FEM) techniques, and still maintain the banded nature of the matrix through implementing a local outer boundary based on the Wilcox expansion. Electromagnetic scatter from a scatterer of complex shape and with inhomogeneous coatings is better solved with FD or FEM methods because the matrix from their approaches is smaller than in the method of moments approach. The matrix resulting from the PDE methods is highly sparse and useful for solving special algorithms and the scattered shape resulting from the PDE methods is described simply with an automatic mesh generation algorithm. The outer boundary of the FD or FEM needs to be moved to moderate distances from the surface of the scatterer to use the boundary condition. Even though the number of node points is somewhat increased, these methods overcome the principal drawback of a fully populated submatrix.

Publication Name: Proceedings of the IEEE

Subject: Electronics

ISSN: 0018-9219

Year: 1991

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# Scattering from a circular disk: a comparative study of PTD and GTD techniques

Article Abstract:

The physical theory of diffraction (PTD) and geometric theory of diffraction (GTD) techniques are examined by looking geometrically at the scattering from a circular disk so that comparisons can be made. GTD techniques work very well in predicting copolar and cross-polar fields with nearly perfect accuracy, except when a caustic singularity causes them to overestimate scattered field magnitude unless multiple diffractions are considered. Both PTD and GTD techniques can calculate the near field making them useful in high power microwave applications. After comparing each method at different frequencies and with different disk sizes, the incremental length diffraction corrects the physical optics most efficiently and provides the most accurate whole angular range solutions.

Publication Name: Proceedings of the IEEE

Subject: Electronics

ISSN: 0018-9219

Year: 1991

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