The modeling of an antenna device with frequency scanning, mathematical modeling of microwave antenna devices, and optimization of a broadband microstrip antenna device for 5G wireless communication systems were carried out. An antenna system for transmitting and receiving information in satellite systems was designed. Modeling of the electromagnetic field of a microwave waveguide taking into account the anisotropy of the medium, computer modeling, visualization and synthesis of a digital antenna array used for transmitting and receiving signals in industrial applications, modeling of microwave signal attenuation taking into account the terrain features for unmanned aerial vehicles, modeling of a telecommunication optical waveguide with anisotropic medium were carried out. A technique for increasing the directivity of an antenna array in the microwave range was developed. A new approach to modeling and synthesis of a digital antenna array operating in the microwave range was made. It was revealed that this antenna array with a transmitter of 85 dBWt is guaranteed to solve the target problem of providing mobile satellite communications with both one global beam and a plurality of beams with a width of 0,7 × 0,7°. It should be added that the advantages of forming multiple beams compared to a global beam with a single-phased antenna array are higher data rate, relatively low requirements for antenna systems of ground stations, greater noise immunity of the radio link, and the ability to dynamically control the signal power in each beam.