Extended Higher-Order Array Decomposition Method for Fully Populated or Thinned Array Antennas and Scatterers With Connected Elements

The Higher-Order Array Decomposition Method (HO-ADM) is extended to handle fully populated or thinned finite array antennas and scatterers which can be modeled as arrays with connected elements lying on a regular lattice. The discontinuous Galerkin method (DGM) is employed to retain the multilevel block-Toeplitz (MBT) method of moments (MoMs) matrix structure even for connected elements. Moreover, by zeroing a selected subset of unknowns in the iterative solution process, thinned arrays can be handled as well. The presented method yields more than an order of magnitude shorter solution times for both a
$32\times32$
-element square- and a 793-element circular-thinned array with a memory consumption comparable to existing fast methods such as the multilevel fast multipole method (MLFMM).