Edge Diffraction at Convex Perfectly Conducting Bodies: Elements of the Physical Theory of Diffraction

Edge Diffraction at Convex Perfectly Conducting Bodies: Elements of the Physical Theory of Diffraction

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Beginning with this chapter, diffraction problems for perfectly conducting bodies will be investigated. These problems can be rigorously formulated using the Maxwell's equations and boundary conditions. However, their solutions in the analytic form can be found only for geometrically simple bodies, such as infinitely long cylinders, spheres, disks, etc. Besides, these solutions can be effectively used for numerical calculations only then when the dimensions of the scattering objects are smaller than a wavelength. For large objects which are much greater than a wavelength, rigorous solutions usually lose their practical value. Numerical methods of solving boundary value problems for large complex objects are also ineffective. That is why significant attention in diffraction theory is given to approximate methods that can analyze scattering from large complex objects at high frequencies. In this chapter and in Chapters 3, 4, and 7, we present some elements of the Physical Theory of Diffraction (PTD) in its original form. This theory can be considered as a natural extension of the physical optics.

Chapter Contents:

  • 2.1 Uniform and Nonuniform Currents
  • 2.2 Edge Waves Scattered by a Wedge
  • 2.3 Diffraction at a Circumferential Edge
  • 2.4 Cones
  • 2.5 Paraboloids of Revolution
  • 2.6 Spherical Surfaces
  • 2.7 Additional Comments

Inspec keywords: physical theory of diffraction; physical optics; Maxwell equations; boundary-value problems

Other keywords: scattering object; Maxwell equation; convex perfectly conducting bodies; boundary condition; edge diffraction; physical theory of diffraction; physical optics; boundary value problem

Subjects: Electromagnetic wave propagation; Electromagnetic waves: theory; Edge and boundary effects; optical reflection and refraction; Numerical approximation and analysis; Differential equations (numerical analysis)

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