Scattering by Conducting Cylinders Below a Dielectric Layer With a Fast Noniterative Approach

A spectral-domain technique to solve the scattering by perfectly conducting cylinders placed below a dielectric layer is presented. Propagation fields are expressed in an analytic form, in the frame of the cylindrical wave approach. The fields scattered by the buried objects are decomposed into cylindrical waves, which are, in turn, represented by plane-wave spectra. Due to the interaction with a layered layout, the scattered fields experience multiple infinite reflections at the boundaries of the layer. Using suitable reflection and transmission coefficients inside the plane-wave spectra, the interaction with such a layered geometry can be solved with a single-reflection approach. Multiple reflections are collected by a set of two scattered fields, i.e., an upward-propagating field, excited by the scatterers and transmitted up to the top medium, and a down-propagating one, which from the top medium reaches the scatterers after transmission through the layer. Therefore, the analytical theory is developed in a very compact way and can be solved through a fast and efficient numerical implementation. Numerical results are evaluated in an accurate way and validated by comparisons with results obtained with a multiple-reflection approach. The scattered field can be evaluated in any point of the domain, in the far-field as well as the near-field region. Two-dimensional maps displaying the magnitude of the total scattered field are reported, showing examples of applications of the technique.