Uniform Linear Antenna Array Calculator

Beamwidth, directivity, sidelobe level, progressive phase and grating lobes of an N-element uniform linear array.

Results

Progressive phase β—
Directivity—
Half-power beamwidth—
First-null beamwidth—
Sidelobe level—
Grating lobes—
Pattern vs. angle from the array axis—

How to use the Uniform Linear Antenna Array Calculator

  1. Enter or select: Number of elements N, Element spacing d, Beam direction θ₀ (90° = broadside).
  2. The results (Progressive phase β, Directivity, Half-power beamwidth, First-null beamwidth, Sidelobe level, Grating lobes, Pattern vs. angle from the array axis) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • AF(ψ) = sin(Nψ/2) / sin(ψ/2), ψ = kd(cosθ − cosθ₀)
  • β = −kd·cosθ₀
  • HPBW ≈ 0.886λ/(N d sinθ₀)
  • Grating lobes absent if d < λ/(1 + |cosθ₀|)
ExpressionApply operationsCalculated result