A New Iterative Method to Compute the Higher Order Contributions to the Scattered Field by Complex Structures
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A New Iterative Method to Compute the Higher Order Contributions to the Scattered Field by Complex StructuresAbstract
A method to compute the higher order contributions to the scattered field by complex structures is presented in this paper. The method is based on a new interpolation technique to represent the induced current with a very low amount of sample points and computational cost. The amplitude and phase of the current are represented separately. Both are defined by an interpolating function, which is built using Bézier surfaces. These functions provide the amplitude and the phase at any given point of the scattering surface in an easy way. The higher order contributions to the scattered field are obtained by using a new iterative method based on Physical Optics (PO) and the Stationary Phase Method (SPM) to compute the integral. The proposed method takes advantage of the saving in computation cost offered by the new representation of the currents reducing the order of the function which is necessary to minimize, in order to obtain the stationary phase points required to evaluate the PO integral. The results obtained show that the method is both efficient and accurate.
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