a Matlab package for phased array beam shape inspection

58 A FIGURES TO CHAPTERS 2–7
ARRAY Mx=12 My=4 Dx=1.40 Dy=1.40
ELEMENT φ=0° θ=35° W=52° Ge=11.5 dBi
BEAM W(0°)=3.03° Gref=28.3 dBi D(16.7°)=28.8 D(35.0°)=28.1
0
D / G ref
(dB)
−2
−4
−6
−8
Vertical width (°)
−10
20
15
10
5
0
−10 0 10 20 30 40 50 60 70 80 90
Zenith angle (°)
−10 0 10 20 30 40 50 60 70 80 90
Zenith angle (°)
Figure 26: TA: Directivity as a function of the beam’s zenith angle. The plot is produced
by plot maxgain.m, based on Eq. (71) and the simplified element gain of
Eq. (73), with assumed element directivity G e = 11.5 dBi, and element zenith
angle θ = 35 ◦ . The dark portion of the curve corresponds to directivity that
is at most 3 dB below the reference directivity G ref = 48 × G e = 28.3 dBi.
The bottom panel gives the half power beam width in the vertical plane. The
markers in the top panel are at zenith angles 13.0 ◦ , 20.0 ◦ , 35.0 ◦ and 60.1 ◦ ,
corresponding to common volume altitudes 1000 km, 600 km, 300 km and
120 km. The directivities in these directions are 26.1 dBi, 28.7 dBi, 28.1 dBi
and 25.4 dBi. The plot was produced by plot maxgain.m.