# Aperture Antennas Electric Field Calculation

The calculator will calculate the electric field radiated by the aperture antennas at two different angle based on given values.

 Electric Current Density (j) : Wave Length (λ) : Electric Current Density for 1st element (J1) : Coordinate Angle 1 (θ) : Radius of Circular Aperture (a) : Coordinate Angle 2 (φ) : Distance of the observation point from the Origin (r) :

 Electric Field of coordinate Angle1 (Eθ) : Electric Field of coordinate Angle 2 (Eφ) :

Antenna Aperture is the measurement of the antennas efficiency at its transmitting and receiving radio waves. The formula used as follows:

## Formula:

Eθ= [ ( j ×k ×a2×E0×e-jkr ) / r ] × Sin φ [ ( J1×k×a×Sinθ) / k×a ×Sinθ] φ
= [ ( j×k×a2×E0×e-jkr ) / r ] ×(Cosθ×Cosφ) [(J1×k×a×Sinθ) / k×a×Sinθ]

Where,

k = 2 π / λ

λ = Wave Length

E0 = 8.8541878176 ×10-12F/m (electric constant)

θ = Coordinate Angle 1

φ = Coordinate Angle 2

a = Radius of Circular Aperture

r = Distance of the observation point from the Origin

j = Electric Current Density

J1 = Electric Current Density for 1st element