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Full-Text Articles in Engineering
Understanding And Improving Moment Method Scattering Solutions, Clayton Paul Davis
Understanding And Improving Moment Method Scattering Solutions, Clayton Paul Davis
Theses and Dissertations
The accuracy of moment method solutions to electromagnetic scattering problems has been studied by many researchers. Error bounds for the moment method have been obtained in terms of Sobolev norms of the current solution. Motivated by the historical origins of Sobolev spaces as energy spaces, it is shown that the Sobolev norm used in these bounds is equivalent to the forward scattering amplitude, for the case of 2D scattering from a PEC circular cylinder. A slightly weaker relationship is obtained for 3D scattering from a PEC sphere. These results provide a physical meaning for abstract solution error bounds in terms …
High Order Convergence With A Low Order Discretization Of The 2d Mfie, Clayton P. Davis, Karl F. Warnick
High Order Convergence With A Low Order Discretization Of The 2d Mfie, Clayton P. Davis, Karl F. Warnick
Faculty Publications
Moment method solutions to the MFIE are often less accurate for a given grid than corresponding solutions to the EFIE. We propose that the cause of this observation is the identity operator in the MFIE and show how regularizing the identity increases the convergence rate of the discretized 2D MFIE by three orders.