Scattering of hermite‐gaussian beam waves by two parallel conducting cylinders

AbstractScattering of Hermite‐Gaussian beams by two‐parallel conducting cylinders is considered in this paper. Hermite‐Gaussian beams of arbitrary order incident on the cylinders, are expanded in a Fourier‐series with respect to each cylindrical coordinate system, and multiply scattered fields by both cylinders are derived rigorously. Since the analysis for the fundamental beam incidence already has been done, this paper carries out the theoretical analysis for the first‐ or second‐order beam incidence. Several numerical examples of the far‐zone scattering pattern and the equi‐amplitude and phase distribution of the near field are shown. When the configuration of the twocylinder scattering system is symmetric with respect to the beam axis of the first‐order beam, the scattering pattern becomes symmetric with respect to the beam axis and deep dips are produced in the directions of forward and backward scattering. Moreover, it is shown that both deep dips and the symmetry of the scattering pattern disappear even if an imperceptible asymmetry of the configuration of the scattering system occurs. The distribution of the equi‐phase planes near the cylinders, which have not yet appeared in problems of this kind, is depicted and the interference of the multiply scattered fields and the incident beam is illustrated.