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a Matlab package for phased array beam shape inspection

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53<br />

ARRAY 50×20 1.50×1.50 δx=0.0° θ=0.00° W=0.68°<br />

ELEMENT JITTER ∆t=100 ps ∆ψ=8.1° ∆a/a=20.2%<br />

∆AF=−4.7%±0.6 ∆θ=0.000°±0.002 ∆W=−0.000°±0.002<br />

20<br />

(a) Beam amplitude jitter<br />

100<br />

(b) Beam direction jitter<br />

% / bin<br />

10<br />

% / bin<br />

50<br />

0<br />

−8 −6 −4 −2<br />

∆ AF max<br />

[%]<br />

0<br />

−0.05 0 0.05<br />

∆θ [°]<br />

100<br />

(c) Beam width jitter<br />

% / bin<br />

50<br />

0<br />

−0.05 0 0.05<br />

∆W [°]<br />

Figure 21: Jitter simulation 1. Simulated <strong>array</strong> factor jitter in a 50 × 20 element <strong>array</strong><br />

in x-direction, when element timing jitter is ∆t = 100 ps, the corresponding<br />

element phase jitter 8.1 ◦ , and the element amplitude jitter is 20% around<br />

1. The undistorted <strong>beam</strong> has been directed in vertical direction, and has<br />

half-power width of 0.68 ◦ in the x-direction.

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