a Matlab package for phased array beam shape inspection

46 A FIGURES TO CHAPTERS 2–7
1
W = 63.2° and 40.0°
20
Ge = 10.0 dBi and 13.7 dBi
0.8
10
G/Ge
0.6
0.4
G (dBi)
0
−10
0.2
0
−90 −60 −30 0 30 60 90
θ (°)
−20
−30
−90 −60 −30 0 30 60 90
θ (°)
Figure 13: The cos n (θ/2) gain pattern. The left panel shows the gain in linear units,
the right panel in dBi. The blue solid line represents a beam with directivity
10.0 dBi and beam-width 63.2 ◦ . The dashed red line represents a beam with
directivity 13.7 dBi and beam-width 40.0 ◦ .
ARRAY Mx=50 My=20 Dx=1.50 Dy=1.50
ELEMENT φ=0° θ=40° W=63° Ge=10.0 dBi
BEAM W(0°)=0.68° Gref=40.0 dBi Dmax=40.9 dBi
D / G ref
(dB)
0
−5
−10
Vertical width (°)
4
2
0
−10 0 10 20 30 40 50 60 70 80 90
Polar angle (°)
−10 0 10 20 30 40 50 60 70 80 90
Polar angle (°)
Figure 14: Directivity and vertical beam width of an array. The 50 × 20, 1.5 × 1.5
rectangular plane array uses 10 dBi elements, tilted 40 ◦ from the vertical.
The directive has been normalized by the arrays reference gain. In addition
to the directivity, the top panel shows the element’s gain pattern, normalized
to unity at its maximum. All the plots are for the vertical plane that contains
the element’s direction. The figure was produced with plot maxgain.