Iterative approach to study of plane periodic arrays in microstrip technology with application to scattering and phased arrays

Analysis of plane periodic surfaces appearing in phased arrays and scatterers using grounded dielectric‐slab Green function and iterative methods

“…In phased arrays of patches, finer discretizations are needed to obtain accurate results. Nevertheless, the scanning performance of the array is well reproduced since, as shown inFigures 7 and 8and in a previous work[Cuevas, 1989;Cuevas and Sierra, 1989], the frequency and scan variations of…”

“…One of the most common iterative methods is the conjugate gradient method (CGM) [Van der Berg, 1984] that has guaranteed convergence in a finite number of steps when applied to continuous operators. The inclu-sion of discretization processes, the intrinsic ill conditioning of convolution operators (worsened by the fact that CGM squares the condition number of the operator), the round-off errors, and some other reasons make the CGM in the practice converge slowly or even diverge when the problem is difficult enough (i.e., in some cases of coaxial-fed phased arrays [Cuevas and Sierra, 1989] Berg, 1984Berg, , 1989]. For these two choices the operator LA is self-adjoint regardless of L and the GCGM may be used.…”