Synthesis of Antenna Arrays and Parasitic Antenna Arrays with Mutual Couplings

Table 3

Results of the synthesis procedure for the 6 patch-array.

Excitation Probe 𝑖	𝛽𝑖 (=weights for the coupled radiation patterns)	Normalized incident waves (𝑎𝑖) and load impedances (ZLi) that optimize the axial ratio (couplings included)
		𝑎𝑖	ZEi
1	0.388⋅exp^(𝑗∗155∘)	0.309⋅exp^(𝑗∗2∘)	41+𝑗∗47
2	0.335⋅exp^(−𝑗∗90∘)	0.262⋅exp^(𝑗∗117∘)	76+𝑗∗65
3	0.354⋅exp^(−𝑗∗123∘)	0.306⋅exp^(𝑗∗70∘)	37+𝑗∗22
4	0.325⋅exp^(−𝑗∗19∘)	0.272⋅exp^(𝑗∗180∘)	69+𝑗∗43
5	0.359⋅exp^(−𝑗∗66∘)	0.309⋅exp^(𝑗∗127∘)	35+𝑗∗21
6	0.315⋅exp^(𝑗∗39∘)	0.267⋅exp^(𝑗∗237∘)	60+𝑗∗38
7	0.388⋅exp^(−𝑗∗24∘)	0.310⋅exp^(𝑗∗182∘)	41+𝑗∗47
8	0.335⋅exp^(𝑗∗90∘)	0.262⋅exp^(𝑗∗297∘)	77+𝑗∗65
9	0.355⋅exp^(𝑗∗56∘)	0.306⋅exp^(𝑗∗250∘)	37+𝑗∗22
10	0.325⋅exp^(𝑗∗161∘)	0.272⋅exp^(𝑗∗0∘)	69+𝑗∗43
11	0.360⋅exp^(𝑗∗114∘)	0.309⋅exp^(𝑗∗307∘)	35+𝑗∗21
12	0.314⋅exp^(−𝑗∗141∘)	0.266⋅exp^(𝑗∗57∘)	60+𝑗∗38