Abstract
Two methods for solving the problem of diffraction of the plane wave by the dielectric body of revolution located in the homogeneous dielectric layer are proposed. Two methods are compared using the example of the scattering of the plane wave by the homogeneous spheroid and the circular cylinder of finite dimensions located in the layer. The results of calculating the pattern for the case of diffraction by the finite circular cylinder which is immersed in the layer and has variable material characteristics are presented. The wavelength dependences of the pattern for plasmon particles located in the layered medium are obtained.
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