Az. Elsherbeni et al., ITERATIVE SCATTERING OF A GAUSSIAN-BEAM BY AN ARRAY OF CIRCULAR CONDUCTING AND DIELECTRIC CYLINDERS, Journal of electromagnetic waves and applications, 7(10), 1993, pp. 1323-1342
The scattering of a Gaussian beam by an array of parallel circular cyl
inders is investigated using an iterative scattering procedure. The cy
linders axe made of homogeneous, isotropic dielectric material, perfec
tly conducting material, or a combination thereof. The iterative scatt
ering technique is developed to evaluate both the near and far fields
due to any arbitrary number of interactions between the cylinders. The
technique starts with the exact series representation of the initial
scattered fields from each cylinder due to the incident Gaussian beam.
Then, the sum of the initial scattered fields from all cylinders is c
onsidered to be the field of an incident wave on each individual cylin
der. The additional scattered field contribution is then obtained and
successive scattering takes place until the boundary conditions on the
surface of every cylinder are satisfied. An error criterion is develo
ped to predict the number of iterations required to satisfy certain pr
edetermined percentage error in the near field computations. Transvers
e magnetic waves (TM) are considered in detail and the extension to tr
ansverse electric waves (TE) is outlined. The effects of the incident
beam parameters on the far scattered field pattern axe investigated an
d numerical results axe presented for a few examples.