Phased Array Gain Calculator
Full 2D planar/1D linear phased array solver: computes realized gain, scan loss, EIRP, 3D beamwidths, aperture efficiency, grating lobe boundaries, and far-field distances.
10
Inputs
Live
Math
3
Related
Enter parameters and click Calculate to view results
Formula & Theory
G(θ) = G_0 + 10log10(N) + 10log10(η) + 10log10(cos^k(θ_scan)) | R_ff = 2D^2 / λThis formula is used to calculate antenna parameters for phased array gain calculator.
Overview
Phased Array Gain helps you calculate design values for a antenna arrays project from Center Frequency (f), Array Rows (N_y), Array Columns (N_x), X Element Spacing (d_x/λ), Y Element Spacing (d_y/λ), Single Element Directivity, Array Efficiency (η), Scan Angle (θ_scan), Element Scan Loss Exponent (k), Power per Element (Tx Module). Full 2D planar/1D linear phased array solver: computes realized gain, scan loss, EIRP, 3D beamwidths, aperture efficiency, grating lobe boundaries, and far-field distances. Use the result to make an informed first design decision before choosing hardware, setting dimensions, or evaluating the RF system in its final environment.
Input Guide
Enter Center Frequency (f), Array Rows (N_y), Array Columns (N_x), X Element Spacing (d_x/λ), Y Element Spacing (d_y/λ), Single Element Directivity, Array Efficiency (η), Scan Angle (θ_scan), Element Scan Loss Exponent (k), Power per Element (Tx Module) exactly in the units shown by this phased array gain. Check the operating band, unit prefix, and decimal position before calculating; these are the inputs used by the formula.
- Center Frequency (f) — use GHz.
- Array Rows (N_y) — use elements.
- Array Columns (N_x) — use elements.
- X Element Spacing (d_x/λ) — use λ.
- Y Element Spacing (d_y/λ) — use λ.
- Single Element Directivity — use dBi.
- Array Efficiency (η) — use %.
- Scan Angle (θ_scan) — use °.
- Element Scan Loss Exponent (k).
- Power per Element (Tx Module) — use dBm.
Output Guide
The results describe the calculated phased array gain 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.
How This Calculator Works
The Phased Array Gain uses G(θ) = G_0 + 10log10(N) + 10log10(η) + 10log10(cos^k(θ_scan)) | R_ff = 2D^2 / λ. Supply Center Frequency (f) (GHz), Array Rows (N_y) (elements), Array Columns (N_x) (elements), X Element Spacing (d_x/λ) (λ), Y Element Spacing (d_y/λ) (λ), Single Element Directivity (dBi), Array Efficiency (η) (%), Scan Angle (θ_scan) (°), Element Scan Loss Exponent (k), Power per Element (Tx Module) (dBm) in the displayed units, then use the calculated values as the first engineering target for this antenna arrays design or analysis.
Design Notes
This antenna arrays calculation is based on G(θ) = G_0 + 10log10(N) + 10log10(η) + 10log10(cos^k(θ_scan)) | R_ff = 2D^2 / λ. Real-world accuracy depends on factors such as material properties, losses, mounting, nearby conductors, ground interaction, feed-line effects, and construction tolerance. Confirm the final system with measurement or simulation.
Build and Tuning Notes
Apply the phased array gain result as an initial target, then validate it in the intended installation. Keep the physical layout and feed arrangement consistent while testing, change one parameter at a time, and record the measured outcome before making another adjustment.
Frequently Asked Questions
What does the Phased Array Gain calculate?
Full 2D planar/1D linear phased array solver: computes realized gain, scan loss, EIRP, 3D beamwidths, aperture efficiency, grating lobe boundaries, and far-field distances. The calculation provides an initial design value based on Center Frequency (f) (GHz), Array Rows (N_y) (elements), Array Columns (N_x) (elements), X Element Spacing (d_x/λ) (λ), Y Element Spacing (d_y/λ) (λ), Single Element Directivity (dBi), Array Efficiency (η) (%), Scan Angle (θ_scan) (°), Element Scan Loss Exponent (k), Power per Element (Tx Module) (dBm).
Which inputs are needed for the Phased Array Gain?
Enter Center Frequency (f) (GHz), Array Rows (N_y) (elements), Array Columns (N_x) (elements), X Element Spacing (d_x/λ) (λ), Y Element Spacing (d_y/λ) (λ), Single Element Directivity (dBi), Array Efficiency (η) (%), Scan Angle (θ_scan) (°), Element Scan Loss Exponent (k), Power per Element (Tx Module) (dBm) using the displayed units. Each value directly affects the calculated result, so confirm the unit and operating conditions before running the calculation.
How accurate is this phased array gain?
It follows G(θ) = G_0 + 10log10(N) + 10log10(η) + 10log10(cos^k(θ_scan)) | R_ff = 2D^2 / λ. It is accurate for the formula assumptions, but installed performance can change because of materials, loss, environment, mounting, nearby objects, and measurement uncertainty.
What should I do after using the Phased Array Gain?
Compare the result with the practical constraints of your antenna arrays system, then validate the completed design with appropriate measurement equipment or simulation.
Alex Warren
B.Sc. in Electrical & Electronic Engineering (EEE)
Alex specialises in antenna design and wave propagation. His expertise helps ensure these calculators present practical RF concepts, useful design estimates, and clear engineering guidance for students, HAM operators, and wireless professionals.