APPROXIMATE SOLUTIONS TO THE SCATTERING BY NONLINEAR ISOTROPIC DIELECTRIC CYLINDERS OF CIRCULAR CROSS-SECTIONS UNDER TM ILLUMINATION

Approximate solutions to the scattering by isotropic circular cylinder s with weak nonlinearities are presented, The cylinders are illuminate d by a transverse magnetic (TM) incident monochromatic held, Iterative numerical solutions are developed under the assumption of approximati ng (both by using the Born approximation and by initially approximatin g the internal field distribution by the linear field distribution) th e solutions of inhomogeneous vector equations derived from a descripti on of the constitutive relations in terms of Volterra series and then simplified for the case where a nonlinearity is heuristically assumed to be of the Kerr type. An efficient numerical discretization is used, and the convergence of the iterative approach is evaluated by way of some examples. The effect of a nonlinearity on the fundamental frequen cy is considered, and the possibility of predicting the held component s at generated higher-order harmonics is explored, The bistatic scatte ring width is also computed, and a comparison with some previously pub lished results is made.