TY  - JOUR
AB  - Purpose– The purpose of this paper is to discuss two‐dimensional electromagnetic diffraction by a finite set of parallel nonlinear rods (optical Kerr effect). To point out the versatility of this approach, a nonlinear (Kerr‐effect) finite crystal is considered.Design/methodology/approach– In this paper, a new route for obtaining the scattered field by nonlinear obstacles is proposed. The basic idea consists in simulating the real incident field (e.g. plane waves) by a virtual field emitted by an appropriate antenna, located in a meshed domain, and encompassing or lying above the obstacles. This latest problem is then solved by a finite element method that is well suited to take into account the material inhomogeneities due to the nonlinearity of the permittivity.Findings– The transmission through a finite Kerr crystal doped by a microcavity is given and a resonant wavelength is obtained. At this resonant wavelength, it is shown that the nonlinearity has a large influence on the behaviour of the electromagnetic wave.Originality/value– Introducing the concept of virtual antenna, the paper proposes a rigorous treatment of the scattering of an electromagnetic wave by a bounded nonlinear obstacle of arbitrary shape.
VL  - 28
IS  - 3
SN  - 0332-1649
DO  - 10.1108/03321640910940918
UR  - https://doi.org/10.1108/03321640910940918
AU  - Godard Pierre
AU  - Zolla Frédéric
AU  - Nicolet André
ED  - Andrezej Demenko
PY  - 2009
Y1  - 2009/01/01
TI  - Scattering by a two‐dimensional doped photonic crystal presenting an optical Kerr effect
T2  - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
PB  - Emerald Group Publishing Limited
SP  - 656
EP  - 667
Y2  - 2024/05/06
ER  -