Array Decomposition Method for Arbitrary-Element Regular Arrays using Higher-Order Basis Functions

The full-wave Array Decomposition Method for regular antenna arrays with arbitrary elements using higher-order hierarchical basis functions is investigated. We show that the use of higher-order basis functions results in significantly reduced
memory consumption and computation time for a 10 × 10 element conical horn array with an aperture size of 22λ × 22λ, without the need for analytical nor numerical approximations. In addition, we demonstrate that by employing higher-order basis functions, the far-field error is considerably lower than by using common first-order basis functions for the same total number of unknowns.