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A Calderón Multiplicative Preconditioner for Coupled Surface-Volume Electric Field Integral Equations

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5 Author(s)
Hakan Bagci ; Division of Physical Sciences and Engineering, Department of Electrical Engineering and Computer Science, King Abdullah University of Science and Engineering, University of Michigan, Thuwal, Ann Arbor, Saudi ArabiaMI, USA ; Francesco P. Andriulli ; Kristof Cools ; Femke Olyslager
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A well-conditioned coupled set of surface (S) and volume (V) electric field integral equations (S-EFIE and V-EFIE) for analyzing wave interactions with densely discretized composite structures is presented. Whereas the V-EFIE operator is well-posed even when applied to densely discretized volumes, a classically formulated S-EFIE operator is ill-posed when applied to densely discretized surfaces. This renders the discretized coupled S-EFIE and V-EFIE system ill-conditioned, and its iterative solution inefficient or even impossible. The proposed scheme regularizes the coupled set of S-EFIE and V-EFIE using a Calderón multiplicative preconditioner (CMP)-based technique. The resulting scheme enables the efficient analysis of electromagnetic interactions with composite structures containing fine/subwavelength geometric features. Numerical examples demonstrate the efficiency of the proposed scheme.

Published in:

IEEE Transactions on Antennas and Propagation  (Volume:58 ,  Issue: 8 )