ANALYSIS OF THE 5 1 DIPOLE BENCHMARK CASE USING THE CURRENT-MODEL METHOD WITH AN SVD-IMPROVED POINT MATCHING TECHNIQUE/

The 5:1 dipole benchmark case has been analyzed extensively by many re searchers using different codes based on various numerical techniques. In this paper this benchmark case is solved by the current-model meth od in which the fulfillment of the boundary condition is improved usin g the singular value decomposition (SVD) of the moment matrix. The SVD is the most informative general representation of a matrix and its us e in the current-model method improves the stability as well as the ac curacy of the numerical solution. Its application results in a conside rable reduction of the boundary condition errors between the matching points. Obviously, the boundary condition errors at the matching point s are no longer strictly zero, but acceptably low values are retained. Comparisons between the results obtained using the various techniques are presented. It is shown that the difference between Ludwig's resul ts, which are based on a spherical-wave expansion approach, and ours i s within the error estimate characterizing the former results accuracy .