Synthesis of the antenna array radiation pattern, adapted to the relief of the trace with a fracture

To ensure reliable operation of radio communications on complex traces, in some cases it is necessary to adapt the directional properties of antennas to a specific trace relief. For a trace with a fracture on the surface, the required idealized antenna pattern is analytically found. A technique for synthesizing the radiation pattern of an equidistant linear phased antenna array adapted to a trace with a fracture has been developed. The technique is based on the use of the method of expansion of the radiation pattern in the Kotelnikov series and preliminary smoothing of the slopes of the required radiation pattern. The synthesis of the radiation pattern of an antenna array with a different number of elements for a given trace with a fracture is performed. It is shown that, based on the secondary indicators of the synthesized radiation patterns, it is possible to select the minimum number of array elements, provided that the key radiation indicators are provided. An amplitude-phase distribution is obtained, which provides a radiation pattern adapted to the relief of a trace with a fracture.