An analytical method based on combination of Fourier transform and Taylor's series expansion is presented for analyzing interaction of electromagnetic cylindrical waves with inhomogeneous planar media. In the proposed method, constitutive parameters and Fourier transformed electric and magnetic fields of the inhomogeneous layer are expressed using Taylor's series expansion. Then, the unknown coefficients of the fields are obtained based on Maxwell's equations and boundary conditions. The validity of the method is verified by considering some special types of inhomogeneous media and comparing the obtained results by this method with those of other reported methods. The results show that when Fourier transform is combined with Taylor's series expansion, a powerful and quick approach is provided for solving such problems.
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