Spectrum of the volume integral operator of the three-dimensional electromagnetic scattering is analyzed. The operator has both continuous essential spectrum, which dominates at lower frequencies, and discrete eigenvalues, which spread out at higher ones. The explicit expression of the operator's symbol provides exact outline of the essential spectrum for… (More)
We show that the mode corresponding to the point of essential spectrum of the electromagnetic scattering operator is a vector-valued distribution representing the square root of the three-dimensional Dirac's delta function. An explicit expression for this singular mode in terms of the Weyl sequence is provided and analyzed. An essential resonance thus leads… (More)
The new approximate numerical solutions of some inverse problems of electrodynamics allow to increase angular resolution of radar-tracking systems based on antenna arrays. The method of imaging point targets in the multiple targets with the help of UWB signals is developed which is not complicated for practical realization in real-time operation mode. A… (More)
We consider volume singular integral equations (VSIEs) which describe electromagnetic scattering on 3D inhomogeneous dielectric structures. By using the theory of multidimensional integral equations we reduce VSIEs to the Fredholm integral equations of the second kind.
Resolution of goniometric systems on the basis of antenna arrays can be increased due to the secondary digital processing of the accepted signals. Necessary algorithms are created on the basis of solution to inverse problems.
We construct the singular mode corresponding to a spatial essential spectrum of the integral operator for the scattering of the electromagnetic waves by a three-dimensional body of finite size with inhomogeneous and anisotropic dielectric per-mittivity tensor. The permittivity tensor field is assumed to be Hölder continuous throughout the whole space. The… (More)