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A Multiple-Grid Adaptive Integral Method for Multi-Region Problems

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3 Author(s)
Ming-Feng Wu ; Dept. of Electr. & Comput. Eng., Univ. of Texas, Austin, TX, USA ; Kaur, G. ; Yilmaz, A.E.

A multiple-grid extension of the adaptive integral method (AIM) is presented for fast analysis of scattering from piecewise homogeneous structures. The proposed scheme accelerates the iterative method-of-moments solution of the pertinent surface integral equations by employing multiple auxiliary Cartesian grids: If the structure of interest is composed of K homogeneous regions, it introduces K different auxiliary grids. It uses the k th auxiliary grid first to determine near-zones for the basis functions and then to execute AIM projection, propagation, interpolation, and near-zone pre-correction stages in the k th region. Thus, the AIM stages are executed a total of K times using different grids and different groups of basis functions. The proposed multiple-grid AIM scheme requires a total of O(N nz,near+?k N k ClogN k C) operations per iteration, where N nz,near denotes the total number of near-zone interactions in all regions and N k C denotes the number of nodes of the k th Cartesian grid. Numerical results validate the method's accuracy and reduced complexity for large-scale canonical structures with large numbers of regions (up to ~106 degrees of freedom and ~103 regions). Moreover, an investigation of HF-band wave propagation in a loblolly pine forest model demonstrates the method's generality and practical applicability. Multiple-grid AIM accelerated simulations with various tree models show that higher fidelity models for the trunk material and branch geometry are needed for accurate calculation of horizontally-polarized field propagation while lower fidelity models can be satisfactory for analyzing vertically-polarized field propagation.

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Antennas and Propagation, IEEE Transactions on  (Volume:58 ,  Issue: 5 )