THE METHODS FOR SOLVING THE PROBLEMS OF THE DIFFRACTION OF ELECTROMAGNETIC AND ACOUSTIC WAVES USING THE INFORMATION ON ANALYTICAL PROPERTIES OF THE SCATTERED FIELDS

摘要

In spite of impressive achievements in computing technology, the study of numerical-analytical methods for solving boundary value problems in physical diffraction theory continues to be of paramount importance. This is a consequence of the fact that using such methods, we obtain a significant portion of information on solution properties at the stage of analytical investigation of the problem. This information is introduced in the problem algorithm, thus ensuring its adequacy to the problem and, consequently, its effectiveness, stability, high-performance capability etc. Conversely, ignoring the analytical solution properties results, at best, in low speed of convergence and may involve the complete loss of stability, i.e. "computation catastrophe". In this study we examine some approaches to solving boundary problems in electrodynamics and acoustics using a-priory information on analytical solution properties. [Vol. 9, No. 3 (1994), Special Issue on Generalized Multipole Technique (GMT), pp 101-111]