The results of developments of materials and structures used for generation and detection of terahertz radiation having applied photoconductive antennas are presented. The developments were carried out in three directions: optimization of parameters of nanoplasmonic antennas, formation of superlattice heterostructures based on InGaAs, and use of layered and two-dimensional semiconductors. The necessity and ways for further improvement in characteristics of the terahertz antennas for expanding the field of application of this radiation in spectroscopy of materials, biomedical diagnostics, metrology, spintronics, wireless communications, etc., are shown.