The electromagnetic analysis of a special class of 3D dielectric lens antennas is described in detail. This new class of lens antennas has a geometrical shape defined by the three-dimensional extension of Gielis’ formula. The analytical description of the lens shape allows the development of a dedicated semianalytical hybrid modeling approach based on geometrical tube tracing and physical optic. In order to increase the accuracy of the model, the multiple reflections occurring within the lens are also taken into account.

A deterministic approach to the synthesis of a general aperiodic arc or ring antenna array is presented and thoroughly detailed in Part I of this work. The proposed technique, which is based on the auxiliary array pattern concept, is aimed at the semi-analytical determination of the optimal excitation tapering and array element angular distribution for mimicking a given radiation pattern mask, without resorting to any optimization procedure. This, in turn, enables a dramatic reduction in design times. The developed technique is validated by application to the synthesis of antenna arrays featuring different radiation pattern masks typically adopted in satellite communications and radar applications; the relevant results are reported in Part II.

In the paper, algorithms of switching of the parallel space switching systems is considered. Description of the structure of parallel crossbar switch as basic of the multistage circuits is also described. The parallel space switching systems based on such switch elements will allow to reduce the connection time and losses caused by the congestion of the general control unit.

In the paper, the problems of design of the parallel space switching systems is considered. The shortcomings of crossbar switches are analyzed as well as the possibilities of design of parallel switching in multistage systems. There is also a description of the structure of parallel cross switch, which is the basic one in building the ladder circuits. The structure of the switching elements of the parallel space switching systems is described as well. The parallel space switching systems based on such switch cabins will allow to reduce the connection time and losses caused by the congestion of the general control unit.

The article describes a model of a parallel matrix switching system based on colored Petri Nets (CPN). The CPN-based model developed by us describes the parallel switching algorithm. The CPN-based model is a hierarchical network containing inhibitory arcs. Due to the use of timed CPN, we obtained the dependence of the average queue length on the intensity of the flow.

The paper deals with the problem of modeling of parallel spatial switching systems. We propose a new crossbar switch structure with adaptive control of interconnection. The set-theoretic, automata model, and a model based on Petri net has been presented.