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Solution of the volume integral equation using the revised pulse vector basis functions for electromagnetic
Abstract:
For the efficient analysis of electromagnetic scattering from thin, homogenous dielectric objects, a kind of revised pulse vector basis function is proposed for the solution of the volume integral equation. In this revised version of the definition, three pulse vector basis functions are defined in two neighboring tetrahedral elements sharing a common face. Therefore, the number of unknowns can be reduced to about half of the traditionally used one. Numerical results show that for the solution of thin homogenous dielectric object problems, the memory of the proposed solution scheme is less than one-third of the conventional one, while both methods give similar accurate results. In addition, the proposed scheme can be applied for the solution of electromagnetic scattering from the dielectric radome and from thin dielectric arrays with different media parameters for each array element. Furthermore, the proposed scheme iterates as fast as the original one when iterative solvers are used to solve the resulted matrix equations. Therefore, for the solution of thin and homogenous dielectric object problems, the proposed scheme is much more efficient than the original one.
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