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This is my version of explanation. I would suggest you to come up with your own explanation. The best way would be for you to try explain this to somebody else in your own words.

 

Following is my version of explanation, but this is just an example. You may come up with a better version.

 

 

Antenna Array - URA(Uniform Rectangular Array) : Nx2

 

In this tutorial, you will see 3D radiation pattern with various radiation pattern. In all of these array, the number of elements in horizontal direction does not change(fixed to 2) and only the number of elements in vertical direction changes. Pay attention to how the radiation pattern changes as the number of elements in the vertical direction increases. You would see as the number of elements increases the beam pattern is compressed more in that direction(i.e, the width of beam in vertical direction gets narrower).

 

The principle here is the more antenna elements in a direction, the narrower the beam width gets in that direction.

 

Click on Next and Prev button so that some intuitive images forms in your head.

 

For more theoretical explanation related to these slides, I would suggest you to look into another form of my notes listed below.

 

 

 

 

Followings are the code that I wrote in Matlab Phased Array System Toolbox  to creates all the plots shown in this page. You may copy these code and play with these codes. Change variables and try yourself until you get your own intuitive understanding.

 

< Code 1 >

 

c = 3e8;        % propagation speed

fc = 26e9;      % carrier frequency

lambda = c/fc;  % wavelength

 

ArrayDim = [16 2];

txarray = phased.URA('Size',ArrayDim,'ElementSpacing',[lambda/2 lambda/2]);

txarray.Element.BackBaffled = true;

 

steer_ang = [0;0];

stv = phased.SteeringVector('SensorArray',txarray);

w = stv(fc,steer_ang);

 

hFig = figure(1);

pattern(txarray,fc,[-180:180],[-90:90],...

    'PropagationSpeed',c,...

    'CoordinateSystem','polar',...

    'Type','powerdB',...

    'Weight',w);

set(gcf,'color','w');

 

axis([-50 50 -50 50 -50 50]);

axis off;

%view(90,15);

view(135,15);

 

sTitle = sprintf("Antenna Array = %d by %d, Steering Angle=[%d %d]", ...

                     ArrayDim(1),ArrayDim(2),steer_ang(1),steer_ang(2));

title(sTitle);

set(hFig,'Position',[300 100 800 700]);