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Example1

QUEST tool example one

Beam shaping

Figure 1 shows the excitation of a linear array antenna with a half wavelength element spacing (i.e.,  ) and four elements of amplitude , , , .

Figure 1  Geometry of the problem

 

1. Find the position of the pattern nulls.

The nulls are at

 

 

 

 

 

2. Modify the elements voltage excitations so that the pattern has nulls at -45° and 30°.

Let  the amplitude of the i-th element voltage excitation

  

 

 

 

 

3. Sketch the original and new array factors as a function of γ.

Original array factor

New array factor

 

 

Score = 0/4

 

 
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