Two-Dimensional Scattering

Two-Dimensional Scattering

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The wire structure considered in the previous chapter is perhaps the simplest version of a three-dimensional geometry because it can be modeled by a filamentary current. In the case of other antenna structures such as reflectors, horns, or microstrip patches, the current will be a three-dimensional function, and this leads to more involved kernels for the resulting integral equations. The complexity of the integral equation is increased further when we consider the radar scattering by an aircraft structure, a portion of which may be nonmetallic or coated with a dielectric. Thus, before proceeding with the treatment of three-dimensional structures, it is instructive to consider solutions of simpler structures that can serve to understand and validate the methods. It turns out that, in the case of scattering, we can obtain information from two-dimensional treatments, which under certain assumptions can be extrapolated to three dimensions. In this chapter we consider the numerical solution of the scattering by (a) a flat and a curved resistive strip, (b) a dielectric strip, (c) a homogeneous dielectric cylinder, and (d) an inhomogeneous dielectric cylinder.

Chapter Contents:

  • 5.1 Flat Resistive Strip
  • 5.2 Metallic Cylinders
  • 5.3 H-Polarized (TE) Scattering by Curved Resistive Strips
  • 5.4 Piecewise Homogeneous Dielectric Cylinders
  • 5.5 Elimination of Interior Resonances
  • 5.6 Simulation of Inhomogeneous Dielectric Cylinders
  • Bibliography

Inspec keywords: horn antennas; reflector antennas; integral equations; dielectric materials; electromagnetic wave scattering; geometry; microstrip antennas; aircraft antennas; radar antennas

Other keywords: inhomogeneous dielectric cylinder; antenna structure; radar scattering; integral equation; three-dimensional geometry; microstrip patches; three-dimensional structure; dielectric strip; two-dimensional treatment; flat resistive strip; horn; reflector; filamentary current; two-dimensional scattering; curved resistive strip; aircraft structure; wire structure

Subjects: Single antennas; Dielectric materials and properties; Electromagnetic wave propagation; Integral equations (numerical analysis); Combinatorial mathematics; Radar equipment, systems and applications

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