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

Citation
S. Caorsi et al., APPROXIMATE SOLUTIONS TO THE SCATTERING BY NONLINEAR ISOTROPIC DIELECTRIC CYLINDERS OF CIRCULAR CROSS-SECTIONS UNDER TM ILLUMINATION, IEEE transactions on antennas and propagation, 43(11), 1995, pp. 1262-1269
Citations number
13
Categorie Soggetti
Telecommunications,"Engineering, Eletrical & Electronic
ISSN journal
0018926X
Volume
43
Issue
11
Year of publication
1995
Pages
1262 - 1269
Database
ISI
SICI code
0018-926X(1995)43:11<1262:ASTTSB>2.0.ZU;2-Z
Abstract
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.