Scattering of a Hermite–Gaussian beam mode by parallel dielectric circular cylinders

Abstract
The scattering of a two-dimensional conventional beam mode by an arbitrary configuration of parallel circular cylinders is considered. A relation is derived between a real-argument Hermite–Gaussian beam mode and the fields excited by multipoles with complex source points. Using this relation, the scattered field by a beam mode is represented in terms of those scattered by a finite number of multipole fields. The total scattered fields are examined numerically for a Gaussian beam incident upon an array of eight cylinders.

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