Directivity of Antenna Calculator

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Antenna Theory Parameters

Special Antennas

Wave Propagation

✖Radiation Intensity refers to the power radiated per unit solid angle by an antenna in a specific direction.ⓘ Radiation Intensity [U]			+10% -10%
✖Average Radiation Intensity is the average component of antenna resistance that accounts for the power radiated into space.ⓘ Average Radiation Intensity [R_avg]			+10% -10%

✖Directivity of antenna measures the degree to which the radiation emitted is concentrated in a single direction.ⓘ Directivity of Antenna [D_a]

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Formula

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Directivity of Antenna

Formula

`"D"_{"a"} = "U"/"R"_{"avg"}`

Example

`"8.653846"="27W/sr"/"3.12W/sr"`

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Directivity of Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Directivity of Antenna = Radiation Intensity/Average Radiation Intensity
D_a = U/R_avg
This formula uses 3 Variables

Variables Used

Directivity of Antenna - Directivity of antenna measures the degree to which the radiation emitted is concentrated in a single direction.
Radiation Intensity - (Measured in Watt per Steradian) - Radiation Intensity refers to the power radiated per unit solid angle by an antenna in a specific direction.
Average Radiation Intensity - (Measured in Watt per Steradian) - Average Radiation Intensity is the average component of antenna resistance that accounts for the power radiated into space.

STEP 1: Convert Input(s) to Base Unit

Radiation Intensity: 27 Watt per Steradian --> 27 Watt per Steradian No Conversion Required
Average Radiation Intensity: 3.12 Watt per Steradian --> 3.12 Watt per Steradian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_a = U/R_avg --> 27/3.12

Evaluating ... ...

D_a = 8.65384615384615

STEP 3: Convert Result to Output's Unit

8.65384615384615 --> No Conversion Required

FINAL ANSWER

8.65384615384615 ≈ 8.653846 <-- Directivity of Antenna

(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 24 Antenna Theory Parameters Calculators

Distance between Transmitting and Receiving Point

Go Transmitter Receiver Distance = (Antenna Current*120*pi*Height of Transmitter*Height of Receiver)/(Strength of Ground Wave Propagation*Wavelength)

Height of Transmitting Antenna

Go Height of Transmitter = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Antenna Current*Height of Receiver)

Height of Receiving Antenna

Go Height of Receiver = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Antenna Current)

Strength of Ground Wave

Go Strength of Ground Wave Propagation = (120*pi*Height of Transmitter*Height of Receiver*Antenna Current)/(Wavelength*Transmitter Receiver Distance)

Antenna Current

Go Antenna Current = (Strength of Ground Wave Propagation*Wavelength*Transmitter Receiver Distance)/(120*pi*Height of Transmitter*Height of Receiver)

Friis Formula

Go Power at Receiving Antenna = Transmitting Power*Gain of Receiving Antenna*Gain of Transmitting Antenna*Wavelength^2/(4*3.14*Transmitter Receiver Distance)^2

Power Density of Antenna

Go Power Density of Antenna = (Total Input Power*Antenna Gain)/(4*pi*Transmitter Receiver Distance)

Effective Area of Antenna

Go Effective Area Antenna = (Thermal Resistance*Incremental Temperature)/Power Density of Antenna

Noise Temperature of Antenna

Go Antenna Temperature = (Power Density of Antenna)/(Thermal Resistance*Bandwidth)

Total Power of Antenna

Go Total Power of Antenna = Thermal Resistance*Antenna Temperature*Bandwidth

Radiation Intensity

Go Radiation Intensity = Isotropic Radiation Intensity*Directivity of Antenna

Average Radiation Intensity

Go Average Radiation Intensity = Radiation Intensity/Directivity of Antenna

Directivity of Antenna

Go Directivity of Antenna = Radiation Intensity/Average Radiation Intensity

Power Per Unit Bandwidth

Go Power per Unit = Thermal Resistance*Resistor Absolute Temperature

Total Antenna Resistance

Go Total Antenna Resistance = Ohmic Resistance+Radiation Resistance

Radiation Resistance

Go Radiation Resistance = Total Antenna Resistance-Ohmic Resistance

Ohmic Resistance

Go Ohmic Resistance = Total Antenna Resistance-Radiation Resistance

Antenna Gain

Go Antenna Gain = Radiation Intensity/Isotropic Radiation Intensity

Length of Binomial Array

Go Length of Binomial Array = (No of Element-1)*Wavelength/2

Isotropic Radiation Intensity

Go Isotropic Radiation Intensity = Radiated Power/(4*pi)

Antenna Efficiency

Go Antenna Efficiency = Radiated Power/Total Input Power

Total Input Power

Go Total Input Power = Radiated Power/Antenna Efficiency

Duct Height

Go Duct Height = (Maximum Duct Wavelength/0.014)^(2/3)

Maximum Duct Wavelength

Go Maximum Duct Wavelength = 0.014*Duct Height^(3/2)

Directivity of Antenna Formula

Directivity of Antenna = Radiation Intensity/Average Radiation Intensity
D_a = U/R_avg

Why is directivity important in antenna?

An antenna's directivity is greater than its gain by an efficiency factor, radiation efficiency. Directivity is an important measure because many antennas and optical systems are designed to radiate electromagnetic waves in a single direction or over a narrow-angle.

How to Calculate Directivity of Antenna?

Directivity of Antenna calculator uses Directivity of Antenna = Radiation Intensity/Average Radiation Intensity to calculate the Directivity of Antenna, The Directivity of Antenna formula is defined as measure of the concentration of an antennas's radiation pattern in a particular direction. Directivity of Antenna is denoted by D_a symbol.

How to calculate Directivity of Antenna using this online calculator? To use this online calculator for Directivity of Antenna, enter Radiation Intensity (U) & Average Radiation Intensity (R_avg) and hit the calculate button. Here is how the Directivity of Antenna calculation can be explained with given input values -> 0.086538 = 27/3.12.

FAQ

What is Directivity of Antenna?

The Directivity of Antenna formula is defined as measure of the concentration of an antennas's radiation pattern in a particular direction and is represented as D_a = U/R_avg or Directivity of Antenna = Radiation Intensity/Average Radiation Intensity. Radiation Intensity refers to the power radiated per unit solid angle by an antenna in a specific direction & Average Radiation Intensity is the average component of antenna resistance that accounts for the power radiated into space.

How to calculate Directivity of Antenna?

The Directivity of Antenna formula is defined as measure of the concentration of an antennas's radiation pattern in a particular direction is calculated using Directivity of Antenna = Radiation Intensity/Average Radiation Intensity. To calculate Directivity of Antenna, you need Radiation Intensity (U) & Average Radiation Intensity (R_avg). With our tool, you need to enter the respective value for Radiation Intensity & Average Radiation Intensity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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