A decomposition approach to problems in electrodynamics

An approach based on the decomposition of a complex object into separate parts to be analyzed independently is applied here to the mathematical modeling of microwave devices for computer-aided design systems. A new discretization technique, the method of minimum autonomous blocks, is proposed for boundary value problems in electrodynamics, this approach being essentially different from that based on difference schemes and finite elements. The application of the method to wave diffraction problems, to strip and slotted lines, and to linear optics is discussed. Examples of the mathematical modeling of microwave integrated circuits on the basis of the decomposition approach with the use of integral equations are presented.