Antenna Array Calculator

Antenna Array Diagram
Antenna Array Configuration Elements: 4 Spacing: 0.5λ

Antenna Array Calculator

The Formula

The array factor (AF) for a uniform linear array is given by:

\[AF(\theta) = \sum_{n=0}^{N-1} e^{jn(kd\cos\theta + \beta)}\]

Where:

  • N: Number of elements
  • k: Wave number (2π/λ)
  • d: Element spacing
  • θ: Angle from broadside
  • β: Progressive phase shift

The directivity can be approximated as:

\[D \approx 10 \log_{10}(N)\]

Calculation Steps

  1. Input the number of elements, element spacing, and phase shift
  2. Calculate the array factor (simplified in this calculator)
  3. Calculate the directivity using the approximation formula

Example Calculation

For an array with 4 elements:

\[D \approx 10 \log_{10}(4) \approx 6.02 \text{ dB}\]

Visual Representation

Simplified Antenna Pattern

This visual shows a simplified representation of an antenna array pattern. The actual pattern would depend on various factors including the number of elements, spacing, and phase shift.