This paper discusses an iterative algorithm for solving Fredholm's integral equation of the second kind by using the fast-Fourier-transformation algorithm to compute a convolution-type integral. The algorithm is used to analyze the diffraction of an electromagnetic wave with TE/TM polarization (for example, a nonparaxial Gaussian beam) at cylindrical dielectric microscopic objects whose linear cross-sectional size is comparable with the wavelength. The results of numerical modeling are presented, along with a comparison with an analytical calculation. © 2005 Optical Society of America

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