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2D beam steering formula

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yefj

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Hello i have sucseeded in 1D beamsteering by applying phase into the formula of phase=(2p/lambda)*d*sin(alfa)
if i have an 1X4 array then we add phase as following:
1st phase : 0
2nd phase : phase
3rd phase : 2*phase
4th phase : 3*phase
this method works like a charm.

now i want to implement 2D beam steering.
how do i calculate the phase in 4X4 elements array
so the main beam will shift 10 degrees left and 20 degrees up?
What is the mathematical logic to do it?
Thanks.
 

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