Currently, the development of methods and means of data transmission through absorbing media and shielding obstacles for organizing wireless communication and remote control of technological equipment and industrial robots, including those in the mining industry, is an urgent area of research. As experimental studies in mine workings have shown, radio systems with high-quality tuned resonant antennas from hundreds of kHz to several of MHz with a narrow operating frequency band suitable for transmitting low-speed signals turned out to be promising. In this article, a model of a resonant helical electrically small antenna (ESA) with an electrical size of 0.025 is considered. An equivalent circuit of this antenna is presented using an analytical description of its components. The results of a full-wave finite element analysis of a helical ESA using finite conductivity boundary are presented. Graphs are constructed that explain the resonant increase in the efficiency of the antenna. The obtained values of the efficiency of the spiral ESA are sufficient to create means of data transmission through absorbing media and imperfectly shielding obstacles.
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