Directivity From Gain

Recover antenna directivity as directivityDbi = gainDbi - 10 * log10(efficiencyFraction), with efficiency defaulting to 0.6.

Description

Recover antenna directivity as directivityDbi = gainDbi - 10 * log10(efficiencyFraction), with efficiency defaulting to 0.6.

Directivity From Gain: Recover antenna directivity as directivityDbi = gainDbi - 10 * log10(efficiencyFraction), with efficiency defaulting to 0.6.

When to use Directivity From Gain

Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Gain (dBi)
Measured antenna gain.
Efficiency Fraction
Radiation efficiency as a fraction strictly between zero and one.

How Directivity From Gain works

Recover antenna directivity as directivityDbi = gainDbi - 10 * log10(efficiencyFraction), with efficiency defaulting to 0.6. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Directivity (dBi)
Antenna directivity.

Limitations and assumptions

  • Antenna formulas assume stated frequency, impedance match, polarization, efficiency, aperture, and propagation geometry. Nearby objects, ground, feed loss, multipath, regulatory averaging, near-field conditions, and pattern variation can make free-space or ideal-aperture results inaccurate.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

References

  1. Antenna — Wikipedia contributors

Similar or alternative tools

  • Antenna Rad Efficiency 2

    Infer antenna radiation efficiency in percent from measured gain and directivity via efficiencyPercent = 10^((gainDbi - directivityDbi) / 10) * 100.

  • Gain From Aperture

    Compute the linear antenna gain as G = 4 x pi x A x eta / lambda^2 with aperture efficiency eta between zero and one, defaulting to 0.55.

  • Parabolic Dish Gain dBi

    Compute parabolic dish gain in dBi as 10 x log10(eta x (pi x D / lambda)^2); eta defaults to 0.55.

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