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a Matlab package for phased array beam shape inspection

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36 A FIGURES TO CHAPTERS 2–7<br />

D=0.1; θ = 60, θ = 60<br />

0 g<br />

90 1.5<br />

120<br />

60<br />

1<br />

150<br />

30<br />

0.5<br />

180 0<br />

Directivity<br />

1.16<br />

1.14<br />

1.12<br />

1.1<br />

1.08<br />

210<br />

330<br />

1.06<br />

1.04<br />

240<br />

270<br />

300<br />

1.02<br />

0 20 40 60 80 100<br />

elevation polar angle<br />

(a)<br />

(b)<br />

150<br />

D=0.4; θ =60, θ = 60<br />

0 g<br />

90<br />

2.5<br />

120<br />

60<br />

2<br />

1.5<br />

1<br />

30<br />

2.5<br />

2.4<br />

2.3<br />

2.2<br />

0.5<br />

180 0<br />

Directivity<br />

2.1<br />

2<br />

1.9<br />

210<br />

330<br />

1.8<br />

1.7<br />

240<br />

270<br />

300<br />

1.6<br />

0 20 40 60 80 100<br />

elevation polar angle<br />

(c)<br />

(d)<br />

Figure 2: Gain pattern and directivity of an vertical <strong>array</strong> of two isotropic elements.<br />

Panels (a) and (b) are <strong>for</strong> element separation d = 0.1λ, panels (c) and (d) are<br />

<strong>for</strong> d = 0.4λ. The <strong>beam</strong> steering in panels (a) and (c) has been to 60 ◦ from<br />

boresight (horizontal <strong>beam</strong>). The 3D gain pattern is obtained from the curves<br />

shown by rotating them around the vertical axis, which is also the direction<br />

of the <strong>array</strong> axis. The polar plots are labeled by the <strong>beam</strong> elevation angle,<br />

and the gain is in absolute units. Both of these <strong>array</strong>s are dense (D < 0.5λ),<br />

so there are no grating lobes apart the main lobe, but there nevertheless is a<br />

rather well-developed ordinary side lobe in (c).

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