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Arrays of point sources

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Arrays of point sources

n Elements Uniform Linear Arrays of point sources

Geometric series

CASE 1:- n Elements Uniform Linear Arrays of point sources – BROADSIDE ARRARY

For example

Let /2 ;

= 60 or 120

For example

Let /2 ;

Then

if m=1

Thus +41.4 , -41.4 are the 4 minor lobe maxima of the array of 4 Isotropic sources, in phase, spaced /2 apart.

CASE 2:- n Elements Uniform Linear Arrays of point sources – END-FIRE ARRAY

Same Equation of Normalize resultant Field Pattern

For an array to be end fire, the phase angles is such that makes the maximum

radiation in the of array i.e. Thus for an array to be and

or 180

For example if

n=4, d=/2,

Thus +75.5 & -75.5 are the 4 minor lobe maxima of the array of 4 Isotropic sources, 180 deg out of phase, spaced /2 apart.

NOTE:- Here the complementary angle , as has been used in broadside case, is not

required. Because the beam width of a end fire array is larger than broadside.