Electromagnetic scattering from nonlinear anisotropic cylinders. I  Fundamental frequency
Abstract
The solution of the problem of electromagnetic scattering of obliquely incident plane waves by homogeneous, nonlinear anisotropic cylindrical structures is obtained. The medium of the scatterer is characterized by Volterratype integrals for the electric and magnetic flux density vectors D and B, respectively. The nonlinear problem is solved using the perturbation method. The effects of nonlinearities on the field properties both inside and outside the scatterer, together with the effect on the radar cross section, are investigated for the fundamental frequency components. To demonstrate the validity of the approach, the results obtained by the perturbation method are compared with those obtained using the plane wave representation method of Censor (1983), where the iteration method is used to solve the resulting dispersion equation. The results are in very good agreement in both amplitude and phase of the fields for the case of very weak nonlinearity. When the relative magnitude of the nonlinear component of the permittivity is increased, the iteration method shows a faster divergence of the phase from the linear phase.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 April 1990
 DOI:
 10.1109/8.52271
 Bibcode:
 1990ITAP...38..523H
 Keywords:

 Anisotropic Media;
 Circular Cylinders;
 Electromagnetic Scattering;
 Frequency Response;
 Plane Waves;
 Flux Density;
 Iterative Solution;
 Magnetic Flux;
 Maxwell Equation;
 Nonlinear Systems;
 Volterra Equations;
 Communications and Radar