Usage of modified method of
discrete sources in spheroidal and toroidal coordinates
A. G. Kurkchan, S. A. Manenkov, E. S. Negorozhina
Moscow Technical University of Communications and
May 28, 2013
Abstract: An efficient approach for the modified discrete sources method to
the solution of three-dimensional scalar problems of wave diffraction by highly
elongated and highly flattened axisymmetric particles, and the particles of the
toroidal shape is proposed. It is shown that the use of spheroidal and toroidal
coordinates is more convenient for this class of problems. The comparative
analysis of these coordinate systems is provided. Itís shown, that the
considered method can significantly reduce the amount of computation and
greatly increases the variety of geometries of scatterers.
Key words: diffraction problem, a modified method of discrete sources,
spherical, spheroidal, toroidal coordinates.