Synthesis of Antenna Arrays and Parasitic Antenna Arrays with Mutual Couplings

Table 5

Weightings for the coupled radiation patterns and reactive loads that are to connected to the non-fed dipoles.

Dipoles 𝑖	𝑎𝑖 (weights for the coupled radiation patterns)	Reactive loads (jXi) and input impedance (ZE) that produce the beam steering at 2.45 GHz
		𝑗𝑋𝑖/𝑍𝐸	Inductances 𝐿𝑖	Capacitors 𝐶𝑖
1 (reflector)	0.214⋅exp^(𝑗∗77∘)	𝑗𝑋1=𝑗∗49	3.18 nH
2 (reflector)	0.342⋅exp^(𝑗∗58.5∘)	𝑗𝑋2=𝑗∗59.8	3.88 nH
3 (feeder)	1.	𝑍𝐸=26.7−𝑗∗0.5	—	—
4 (director)	0.382⋅exp^(−𝑗∗64.5∘)	𝑗𝑋4=−𝑗∗83.1		0.78 pF
5 (director)	0.329⋅exp^(−𝑗∗97.5∘)	𝑗𝑋5=−𝑗∗105		0.62 pF
6 (director)	0.276⋅exp^(−𝑗∗142∘)	𝑗𝑋6=−𝑗∗113		0.57 pF
7 (director)	0.249⋅exp^(𝑗∗156∘)	𝑗𝑋7=−𝑗∗107		0.61 pF
8 (director)	0.273⋅exp^(𝑗∗110∘)	𝑗𝑋8=−𝑗∗156		0.42 pF
9 (director)	0.274⋅exp^(𝑗∗66.3∘)	𝑗𝑋9=−𝑗∗143		0.45 pF
10 (director)	0.23⋅exp^(𝑗∗10.6∘)	𝑗𝑋10=−𝑗∗117		0.55 pF
11 (director)	0.233⋅exp^(−𝑗∗44.7∘)	𝑗𝑋11=−𝑗∗167		0.39 pF
12 (director)	0.273⋅exp^(−𝑗∗93.6∘)	𝑗𝑋12=−𝑗∗129		0.50 pF
13 (director)	0.244⋅exp^(−𝑗∗148∘)	𝑗𝑋13=−𝑗∗78.9		0.82 pF
14 (director)	0.191⋅exp^(𝑗∗148∘)	𝑗𝑋14=−𝑗∗107		0.61 pF
15 (director)	0.292⋅exp^(𝑗∗78.9∘)	𝑗𝑋15=−𝑗∗71.1		0.91 pF