Solution of problems of electromagnetic wave scattering by bodies with an anisotropic impedance with the help of the pattern equation method

Pattern equation method for the solution of electromagnetic scattering by axially-symmetric particles with complex anisotropic surface impedance

“…In [8] it was already noticed that the artificially soft surface is a surface with ideal mixed conductivity along the direction i ϕ , and, in the same way, the artificially hard surface is a surface with ideal mixed conductivity along the direction i l . Thus, the artificially soft scatterer, in general case, should not support of a surface wave.…”

“…The definition of such surfaces in the electromagnetic case has been first introduced by P-S Kildal [10][11]. The description of such surfaces in terms of anisotropic impedance independently from polarization of an incident plane wave was presented more in detail in [8]. Further we study accuracy of the obtained numerical calculations by means of values of the scattering pattern, and also where it was possible, under the optical theorem.…”

“…The starting point for the subsequent analysis is representing coefficients a nm , b nm in terms of the boundary values of the wave field (1). By analogy with [2,8], we use the following integral relations for the field E 1 , H 1 , which can be obtained from the Maxwell's equations (3):…”

“…According to [3] (see also [6]), the impedance approach is suitable for modeling the problems of diffraction on bodies with the dielectric absorbing covering, the sizes of which have some lengths of the incident field wave. Recently the algorithm of the PEM has been developed for the solution of scattering problems on scatterers with the anisotropic impedance boundary conditions that are imposed everywhere at the scatterers's surface [8].…”