MATHEMATICAL MODELING OF HIGH-FREQUENCY INTEGRAL SCHEMES

This paper gives a brief review of the research (mainly from Russia) on methods and results of modeling multi-strip lines and passive junctions of integrated circuits (IC). To analyze junctions, various types of mathematical models are employed. The most effective models are described. In order to understand the physics of phenomena which occur in lines and devices and to determine the scope of applicability of these models, other more or less strict models are devised. They consume much computer time, and therefore are not employed in computer-aided design. More often, various quasi-static models are used, with frequency corrections being made of required. In this paper we give only results of the characteristics of strip lines obtained on the basis of more or less strict models, in order to formulate the limits of applicability for quasi-static models. the quasi-static modeling of strip lines and junctions of IC is described in more detail. Examples are given which illustrate the possibilities of modeling, by using the quasi-static approach, of strip filters, directional couplers, antenna radiators and devices on magneto-static waves, and other junctions.