Synthesis of Non-Mirror-Symmetrical Far-Field Patterns Using Two Parallel Current Sheets

This paper shows that the radiation patterns and polarizations on the two sides of the source plane can be controlled separately if two parallel current sheets are used. An efficient algorithm is proposed to determine the propagation components of the currents on the two sheets directly from the specified radiation pattern. Numerical examples demonstrate that the algorithm is effective for synthesizing radiation patterns with complex footprints and beam-wise polarizations. Although the resultant continuous current distribution is not easy to implement in practical applications, it provides a useful base for further designs. If proper feeding techniques are developed, it will also be possible to spatially sample the continuous current distribution and realize the radiation pattern with large scale antenna arrays.