A cylindrical coordinate separation-of-variables solution is developed for the determination of the internal and the near-surface electromagnetic fields for the arrangement of a focused beam incident upon a homogeneous infinite circular cylinder. The angle of incidence and the focal point location of the beam, as well as the beam type (e.g., fundamental Gaussian beam, doughnut mode beam, TEM11 mode beam), can be arbitrarily specified. As a demonstration of the procedure, gray-level and contour plots of calculated electric-field distributions for a fundamental Gaussian beam focused on a cylinder are presented for six different angle-of-incidence and relative index-of-refraction combinations.
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