Antenna Aperture Efficiency Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Effective Area of Receiving Antenna is a fundamental parameter that characterizes the ability of the antenna to capture electromagnetic radiation and convert it into an electrical signal.ⓘ Effective Area of Receiving Antenna [A_eff]			+10% -10%
✖Antenna Area refers to the actual physical size of an antenna. It is the physical cross-sectional area of the radiating or receiving elements of the antenna.ⓘ Antenna Area [A_a]			+10% -10%

✖Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently.ⓘ Antenna Aperture Efficiency [η_a]

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Formula

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Antenna Aperture Efficiency

Formula

`"η"_{"a"} = "A"_{"eff"}/"A"_{"a"} `

Example

`"0.7"="17.5875m²"/"25.125m²" `

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Download Radar & Antenna Specifications Formulas PDF

Antenna Aperture Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area
η_a = A_eff/A_a
This formula uses 3 Variables

Variables Used

Antenna Aperture Efficiency - Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently.
Effective Area of Receiving Antenna - (Measured in Square Meter) - Effective Area of Receiving Antenna is a fundamental parameter that characterizes the ability of the antenna to capture electromagnetic radiation and convert it into an electrical signal.
Antenna Area - (Measured in Square Meter) - Antenna Area refers to the actual physical size of an antenna. It is the physical cross-sectional area of the radiating or receiving elements of the antenna.

STEP 1: Convert Input(s) to Base Unit

Effective Area of Receiving Antenna: 17.5875 Square Meter --> 17.5875 Square Meter No Conversion Required
Antenna Area: 25.125 Square Meter --> 25.125 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_a = A_eff/A_a --> 17.5875/25.125

Evaluating ... ...

η_a = 0.7

STEP 3: Convert Result to Output's Unit

0.7 --> No Conversion Required

FINAL ANSWER

0.7 <-- Antenna Aperture Efficiency

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 24 Radar & Antenna Specifications Calculators

Maximum Range of Radar

Go Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25

Minimum Detectable Signal

Go Minimum Detectable Signal = (Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Target Range^4)

N Scans

Go N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))

Transmitted Gain

Go Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2

Transmitted Frequency

Go Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity)

Power Density Radiated by Lossless Antenna

Go Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna

Maximum Power Density Radiated by Antenna

Go Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna

Maximum Gain of Antenna

Go Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density

Target Height

Go Target Height = (Range Resolution*Range)/(2*Antenna Height)

Radar Antenna Height

Go Antenna Height = (Range Resolution*Range)/(2*Target Height)

Probability of Detection

Go Detection Probability of Radar = 1-(1-Cumulative Probability of Detection)^(1/N Scans)

Cumulative Probability of Detection

Go Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans

Antenna Aperture Efficiency

Go Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area

Antenna Area

Go Antenna Area = Effective Area of Receiving Antenna/Antenna Aperture Efficiency

Effective Area of Receiving Antenna

Go Effective Area of Receiving Antenna = Antenna Area*Antenna Aperture Efficiency

Pulse Repetition Frequency

Go Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range)

Maximum Unambiguous Range

Go Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2

Pulse Repetition Time

Go Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]

Target Velocity

Go Target Velocity = (Doppler Frequency Shift*Wavelength)/2

Doppler Frequency

Go Doppler Frequency = Doppler Angular Frequency/(2*pi)

Doppler Angular Frequency

Go Doppler Angular Frequency = 2*pi*Doppler Frequency

Radial Velocity

Go Radial Velocity = (Doppler Frequency*Wavelength)/2

Measured Runtime

Go Measured Runtime = 2*Target Range/[c]

Range of Target

Go Target Range = ([c]*Measured Runtime)/2

Antenna Aperture Efficiency Formula

Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area
η_a = A_eff/A_a

Define antenna and its parameters

An Antenna or Aerial is a transducer, which converts electrical power into electromagnetic waves and vice versa.
An Antenna parameters include, Directivity, Aperture Efficiency, Antenna Efficiency and Gain

How to Calculate Antenna Aperture Efficiency?

Antenna Aperture Efficiency calculator uses Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area to calculate the Antenna Aperture Efficiency, The Antenna Aperture Efficiency formula is defined as the ratio of the effective radiating area (or effective area) to the physical area of the aperture. Antenna Aperture Efficiency is denoted by η_a symbol.

How to calculate Antenna Aperture Efficiency using this online calculator? To use this online calculator for Antenna Aperture Efficiency, enter Effective Area of Receiving Antenna (A_eff) & Antenna Area (A_a) and hit the calculate button. Here is how the Antenna Aperture Efficiency calculation can be explained with given input values -> 0.69998 = 17.5875/25.125 .

FAQ

What is Antenna Aperture Efficiency?

The Antenna Aperture Efficiency formula is defined as the ratio of the effective radiating area (or effective area) to the physical area of the aperture and is represented as η_a = A_eff/A_a or Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area. Effective Area of Receiving Antenna is a fundamental parameter that characterizes the ability of the antenna to capture electromagnetic radiation and convert it into an electrical signal & Antenna Area refers to the actual physical size of an antenna. It is the physical cross-sectional area of the radiating or receiving elements of the antenna.

How to calculate Antenna Aperture Efficiency?

The Antenna Aperture Efficiency formula is defined as the ratio of the effective radiating area (or effective area) to the physical area of the aperture is calculated using Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area. To calculate Antenna Aperture Efficiency, you need Effective Area of Receiving Antenna (A_eff) & Antenna Area (A_a). With our tool, you need to enter the respective value for Effective Area of Receiving Antenna & Antenna Area 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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