ELECTROMAGNETIC SCATTERING FROM NONLINEAR ANISOTROPIC CYLINDERS .1. FUNDAMENTAL-FREQUENCY

The solution of the electromagnetic scattering of obliquely incident plane waves from homogeneous, nonlinear anisotropic cylindrical structures is obtained. The medium of the scatterer is characterized by Volterra-type integrals for the electric and magnetic flux density vectors D and B, respectively. The nonlinear problem is solved using the perturbation method. The effect 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 our approach, the results obtained by the perturbation method are compared with those obtained using the plane wave representation method of Censor where the iteration method is used to solve the resulting dispersion equation. The results obtained using the two different methods 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 showed a faster divergence of the phase from the linear phase. © 1990 IEEE