Antenna Engineering

Parabolic Reflector Antenna Gain Vs. Diameter, Focal Length, And Efficiency Calculator

Compute gain (dBi) of a parabolic reflector antenna given reflector diameter (m), focal length (m), operating frequency (Hz), and aperture efficiency (unitless, 0–1), using standard geometric optics-based gain expression.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Parabolic Reflector Antenna Gain vs. Diameter, Focal Length, and Efficiency

Calculator

Antenna Gain
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Result Interpretation

Parabolic Reflector Antenna Gain Vs. Diameter, Focal Length, And Efficiency Calculator computes Antenna Gain in 1 using the defined engineering formula and the input values provided. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Reflector Diameter = 2
  • Focal Length = 0.5
  • Aperture Efficiency = 0.55
  • Operating Frequency = 10000000000
  • Speed of Light = 299792458

Expected Result:

  • Antenna Gain = 12079.557479109

Engineering Interpretation:

Under the given input conditions, the calculated result is: Antenna Gain = 12079.557479109.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

antenna gain = aperture efficiency * pow(3.14159265358979 * reflector diameter / (speed of light / operating frequency), 2) * (1.0 / (1.0 + pow(reflector diameter / (4.0 * focal length), 2)))

Formula family: formula_antenna_parabolic_reflector_antenna_gain_vs_diameter_focal_length_and_efficiency_calculator

Variables

SymbolLabelRoleDescription
diameter Reflector Diameter INPUT Reflector Diameter
focal_length Focal Length INPUT Focal Length
efficiency Aperture Efficiency INPUT Aperture Efficiency
frequency Operating Frequency INPUT Operating Frequency
c Speed of Light INPUT Speed of Light
antenna_gain Antenna Gain OUTPUT Antenna Gain

Calculation Steps

  1. Enter the reflector diameter in m.
  2. Enter the focal length in m.
  3. Enter the aperture efficiency in 1.
  4. Enter the operating frequency in Hz.
  5. Enter the speed of light in m/s.
  6. Step 1: Compute antenna gain.
  7. Read the antenna gain (1) from the results.

Engineering Summary

Calculate Parabolic Reflector Antenna Gain vs. Diameter, Focal Length, and Efficiency

Frequently Asked Questions

What does this calculator calculate?

The Parabolic Reflector Antenna Gain Vs. Diameter, Focal Length, And Efficiency Calculator estimates Antenna Gain based on the input parameters you provide

Why is reflector diameter important in this calculation?

reflector diameter is used directly in the calculation of antenna gain. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter reflector diameter in m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result antenna gain?

The calculator outputs antenna gain. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Reflector Diameter (m), Focal Length (m), Operating Frequency (Hz), Speed of Light (m/s). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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