Uniform Linear Array Factor Calculator
Calculate ideal normalized array power for a steered equal-amplitude linear array of isotropic elements.
YOUR CALCULATION
Result
—
Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Sum complex element phasors directly, including exact steering direction and possible grating lobes.
AF=(1/N)Σexp(i n 2π(d/λ)(sinθ−sinθsteer)); normalized power=|AF|²
Worked example
At the entered steering angle, ideal normalized power equals one for every element count.
Assumptions and input details
Isotropic identical uncoupled elements, narrowband phase steering, no element pattern, scan loss, mutual coupling, sidelobe taper or realized gain. Spacing can produce grating lobes; this is an array factor only.
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
Estimate the conventional large-aperture Fraunhofer boundary from aperture dimension and wavelength.
Calculate first-Fresnel-zone radius at an entered point between two radio endpoints.
Calculate wave speed, frequency or wavelength from the other two. Convert units, find the period and view an illustrative normalized wave.
Reserved advertising space.