Fast computation of the impedance matrix for the periodic Method of Moments using a plane wave decomposition

Interpolation of impedance matrices for varying quasi-periodic boundary conditions in 2D periodic Method of Moments

“…It should be emphasized that the computation of the reference impedance matrices and the extraction of the dominant Floquet modes only needs to be performed once. Last, the interpolation technique has been used to compute the radiation pattern of the leaky-wave antenna proposed in [14] and used in [3] to validate the periodic MoM solver. The leaky wave antenna is made of a ground plane and a periodic array of patches located 19 mm above the ground plane.…”

“…3. In both cases, the code of [3] was used to compute the periodic impedance matrices. The first radiation pattern was obtained by computing explicitly the periodic impedance matrix for each different phase shift.…”

“…This condition is always met in planar geometries, so that we will restrain ourselves to this particular case for the rest of the paper. Then, using the notations of [3], the corresponding entry of the periodic impedance matrix reads…”

“…One drawback of the periodic Method of Moments is that the response of the structure must be computed for each frequency and relative phase-shift between consecutive unit cells. This problem becomes critical when using the ASM, for which a large number of phase shifts may be required to get accuracte results [3]. One way to counter this drawback is to use interpolation techniques [4], [5], [6].…”

Characterization of power absorption response of periodic three-dimensional structures to partially coherent fields

“…The periodicity of the structure is handled through the use of the periodic Green's function [22]. The implementation of the code is described in [23]. The sphere and the interfaces between the layer and the air are discretized using 690 Rao-Wilton-Glisson (RWG) [24] and 800 rooftop basis functions, respectively.…”