Antenna Array Calculator  

Where,
φ = ( k×d×Cos θ) + β
k = 2π / λ
Example:
Calculate the antenna array factor for the given details.
Polar Angle (θ) = 5
Wave Length (λ) = 10
Difference Phase of two Elements (β) = 15
Distance between each two Elements (d) = 20
Number of Elements in Array (N) = 2
Solution:
Apply Formula:
AF = [ ( Sin (N×φ / 2 ) / ( Sin (φ / 2 ) ]
k = 2π / λ
k = 2*3.14/10
k = 6.28/10
k = 0.628
φ = ( k×d×Cos θ) + β
φ = (0.628*20*cos5) +15
φ = (0.628*20*0.283) + 15
φ = 3.554 +15
φ = 18.554
AF = [ ( Sin (N×φ / 2 ) / ( Sin (φ / 2 ) ]
AF = [(sin(2*18.554/2) /(sin(18.554/2)]
AF = 0.7379222793164559
Array Factor (AF) = 0.7379222793164559