Download or read book Understanding and Improving Moment Method Scattering Solutions written by Clayton Paul Davis and published by . This book was released on 2004 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 of the power radiated by the error in the current solution. It is further shown that bounds on the Sobolev norm of the current error imply a bound on the error in the computed backscattering amplitude.