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a Matlab package for phased array beam shape inspection

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55<br />

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

ELEMENT JITTER ∆t=500 ps ∆ψ=40.5° ∆a/a=19.9%<br />

∆AF=−25.1%±1.0 ∆θ=−0.000°±0.010 ∆W=−0.000°±0.004<br />

(a) Beam amplitude jitter<br />

(b) Beam direction jitter<br />

% / bin<br />

10<br />

5<br />

% / bin<br />

40<br />

20<br />

0<br />

−28 −26 −24 −22<br />

∆ AF max<br />

[%]<br />

(c) Beam width jitter<br />

0<br />

−0.05 0 0.05<br />

∆θ [°]<br />

% / bin<br />

60<br />

40<br />

20<br />

0<br />

−0.05 0 0.05<br />

∆W [°]<br />

Figure 23: Jitter simulation 3. Simulated <strong>array</strong> factor jitter in a 50 × 20 element <strong>array</strong><br />

in x-direction, when element timing jitter is ∆t = 500 ps, the corresponding<br />

element phase jitter 24 ◦ , 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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