S. Caorsi et al., A NUMERICAL-SOLUTION TO FULL-VECTOR ELECTROMAGNETIC SCATTERING BY 3-DIMENSIONAL NONLINEAR BOUNDED DIELECTRICS, IEEE transactions on microwave theory and techniques, 43(2), 1995, pp. 428-436
This paper deals with electromagnetic scattering by nonlinear dielectr
ic objects. In particular, a numerical approach is developed that is a
imed at determining the distributions of the electromagnetic field vec
tor inside a three-dimensional nonlinear, inhomogeneous, isotropic sca
tterer illuminated by a time-periodic incident electric field vector.
An integral-equation formulation for the full-vector scattering proble
m is considered, and the nonlinear effect is taken into account by int
roducing equivalent sources end a Fourier-series representation, A sys
tem of integral equations (for each harmonic vector components and for
the static term) is obtained that includes the internal electric fiel
d distribution as the unknown, After discretization, the solution is r
educed to solving an algebraic system of nonlinear equations, Some pre
liminary numerical results are reported concerning scatterers that exh
ibit a specific (quadratic) dependence of the dielectric permittivity
on the total electric field, The harmonic components of the scattered
electric field outside the objects are also computed.