Phased Array Antenna Calculator

The Phased Array Antenna Calculator helps RF engineers, antenna designers, radar engineers, satellite communication specialists, wireless network planners, researchers, and students estimate the performance of phased array antenna systems. By entering the operating frequency, number of antenna elements, array configuration, and individual element gain, the calculator determines the free-space wavelength, array dimensions, element spacing, array gain, estimated total antenna gain, and horizontal and vertical beamwidth. Phased array antennas are widely used in 5G massive MIMO, radar systems, satellite communication, electronic warfare, radio astronomy, airborne communication, defence applications, beamforming networks, and modern wireless communication systems.

Enter Frequency, Element Count, Rows, Element Gain exactly in the units shown by this phased array antenna. Check the operating band, unit prefix, and decimal position before calculating; these are the inputs used by the formula.

• Frequency — use MHz.
• Element Count.
• Rows.
• Element Gain — use dBi.

The results describe the calculated phased array antenna values for the inputs you entered. Check each value against the available space, selected components, feed system, and operating conditions before making a final design decision.

The Phased Array Antenna uses Array Gain = 10log10(N) Total Gain = Element Gain + Array Gain HPBW≈50.8/(N×d/λ) . Supply Frequency (MHz), Element Count, Rows, Element Gain (dBi) in the displayed units, then use the calculated values as the first engineering target for this directional antennas design or analysis.

This calculator is based on the fundamental principles of antenna array theory and coherent electromagnetic wave addition. The free-space wavelength is first calculated using λ = 300 ÷ f, where λ is the wavelength in metres and f is the operating frequency in megahertz. The element spacing is then selected as λ ÷ 2, which is the most common spacing used in phased arrays because it maximises array performance while preventing grating lobes during beam steering. The array gain is calculated using Array Gain = 10log₁₀(N), where N is the total number of antenna elements. This equation assumes that all antenna elements radiate coherently with equal amplitude and phase, causing their radiated power to combine constructively. The estimated total antenna gain is then determined by adding the individual element gain to the calculated array gain. Beamwidth is approximated using HPBW ≈ 50.8 ÷ (N × d ÷ λ), which shows that increasing the number of antenna elements or enlarging the electrical aperture produces a narrower beam. Narrower beamwidth improves antenna directivity, spatial resolution, interference rejection, and communication range. The calculator also estimates the horizontal and vertical beamwidth from the number of array columns and rows, providing a practical approximation of the overall radiation pattern. These equations represent the theoretical foundation of phased array antennas, adaptive beamforming, massive MIMO systems, electronically scanned arrays (ESA), active electronically scanned arrays (AESA), radar engineering, and modern wireless communication.

Use the calculated array dimensions and gain as the initial design reference before implementing the antenna system. Maintain approximately half-wavelength element spacing to reduce mutual coupling and avoid grating lobes during beam steering. Accurate phase and amplitude control across all antenna elements is essential because even small phase errors can broaden the main beam, increase sidelobe levels, and reduce overall array gain. During prototype evaluation, verify return loss (S11), element matching, radiation pattern, beam steering accuracy, sidelobe suppression, scan loss, cross-polarisation, and overall antenna gain using a vector network analyser (VNA), anechoic chamber, near-field scanner, or antenna measurement range. Electromagnetic simulation using CST Studio Suite, Ansys HFSS, FEKO, MATLAB Phased Array Toolbox, Keysight ADS, or Altair Feko is recommended to optimise array geometry, feed network design, phase distribution, and beamforming performance before manufacturing.