The surface integral equation method is introduced to characterize the scattering of an arbitrarily incident focused Gaussian beam by arbitrarily shaped homogeneous dielectric particles. The incident Gaussian beam is represented by the Davis first-order approximation in Cartesian coordinates. For a numerical solution, the particles with arbitrary shapes are modeled by using surface triangular patches and the surface integral equations are discretized with the method of moments. The resulting matrix equations are solved by means of the parallel conjugate gradient method. The calculated results for a sphere and a spheroid are compared with those from the generalized Lorenz–Mie theory, and very good agreements are observed. We also present the numerical results for several selected irregular particles. These results can be used as a reference for other numerical methods to analyze the light scattering by irregular particles illuminated by Gaussian beam.
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