Phase-Array Antenna Simulation Lab

Interactive Simulation of Antenna Array Radiation Patterns

Laboratory Instructions

Radiation Pattern Visualization

Antenna Array Configuration

Main Beam Direction: 0°

Phase-Array Antenna Theory

Phase-array antennas consist of multiple radiating elements with phase shifters that electronically steer the radiation pattern without physically moving the antenna. The array factor (AF) for an N-element linear array with uniform spacing d and progressive phase shift β is given by:

AF(θ) = |sin(Nψ/2) / sin(ψ/2)|

where ψ = (2πd/λ)sin(θ) + β, λ is the wavelength, and θ is the angle from broadside.

The main beam direction can be controlled by adjusting the phase shift β between elements. The beam steering angle θ₀ is related to β by:

θ₀ = arcsin(βλ / (2πd))

Simulation Controls

Typical spacing: 0.5λ to avoid grating lobes
Controls beam steering direction
Adjusts the directivity of the pattern
Broadside: β=0°, End-fire: β=±180°, Steering: adjustable β

Simulation Results

Parameter Value Effect on Pattern
Main Beam Direction Broadside
Beamwidth (3dB) 25° Angular width of main lobe
Sidelobe Level -13.5 dB Relative to main lobe peak
Grating Lobes None Appear when d/λ > 0.5

Lab Questions

  1. How does increasing the number of elements affect the radiation pattern?
  2. What happens to the main beam direction when you change the phase shift?
  3. At what spacing do grating lobes appear? Why?
  4. Compare broadside and end-fire array configurations.