Effective Aperture of Lossless Antenna Calculator

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Radar Antennas Reception

Radar & Antenna Specifications

Special Purpose Radars

✖Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently.ⓘ Antenna Aperture Efficiency [η_a]			+10% -10%
✖Physical Area of an Antenna refers to the actual physical size or cross-sectional area of the antenna structure.ⓘ Physical Area of an Antenna [A]			+10% -10%

✖Effective Aperture of Lossless Antenna represents the portion of the antenna's physical aperture that effectively captures or radiates electromagnetic energy.ⓘ Effective Aperture of Lossless Antenna [A_e]

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Formula

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Effective Aperture of Lossless Antenna

Formula

`"A"_{"e"} = "η"_{"a"}*"A"`

Example

`"21.7"="0.7"*"31m²"`

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Effective Aperture of Lossless Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna
A_e = η_a*A
This formula uses 3 Variables

Variables Used

Effective Aperture of Lossless Antenna - Effective Aperture of Lossless Antenna represents the portion of the antenna's physical aperture that effectively captures or radiates electromagnetic energy.
Antenna Aperture Efficiency - Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently.
Physical Area of an Antenna - (Measured in Square Meter) - Physical Area of an Antenna refers to the actual physical size or cross-sectional area of the antenna structure.

STEP 1: Convert Input(s) to Base Unit

Antenna Aperture Efficiency: 0.7 --> No Conversion Required
Physical Area of an Antenna: 31 Square Meter --> 31 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_e = η_a*A --> 0.7*31

Evaluating ... ...

A_e = 21.7

STEP 3: Convert Result to Output's Unit

21.7 --> No Conversion Required

FINAL ANSWER

21.7 <-- Effective Aperture of Lossless Antenna

(Calculation completed in 00.004 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 14 Radar Antennas Reception Calculators

Omnidirectional SIR

Go Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent))

Dielectric Constant of Artificial Dielectric

Go Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3)

Maximum Gain of Antenna given Antenna Diameter

Go Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2

Metal-Plate Lens Refractive Index

Go Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)

Spacing between Centers of Metallic Sphere

Go Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2))

Overall Noise Figure of Cascaded Networks

Go Overall Noise Figure = Noise Figure Network 1+(Noise Figure Network 2-1)/Gain of Network 1

Receiver Antenna Gain

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

Luneburg Lens Refractive Index

Go Luneburg Lens Refractive Index = sqrt(2-(Radial Distance/Radius of Luneburg Lens)^2)

Likelihood Ratio Receiver

Go Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise

Frequency Reuse Ratio

Go Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent)

Directive Gain

Go Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)

Signal to Co-channel Interference Ratio

Go Signal to Co-channel Interference Ratio = (1/6)*Frequency Reuse Ratio^Propagation Path Loss Exponent

Effective Aperture of Lossless Antenna

Go Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna

Effective Noise Temperature

Go Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1

Effective Aperture of Lossless Antenna Formula

Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna
A_e = η_a*A

What are the applications of Effective Aperture of Lossless Antenna?

This concept is often used in antenna theory and design to calculate parameters like gain, directivity, and effective isotropic radiated power (EIRP) based on the physical characteristics of the antenna. In practice, lossless antennas are an idealization, and real-world antennas may have various losses, such as dielectric losses, conductor losses, and efficiency losses, which reduce their effective aperture and overall performance.

How to Calculate Effective Aperture of Lossless Antenna?

Effective Aperture of Lossless Antenna calculator uses Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna to calculate the Effective Aperture of Lossless Antenna, Effective Aperture of Lossless Antenna represents the portion of the aperture that captures or radiates energy without loss. In a lossless antenna, all the energy that falls on the physical aperture is effectively used for transmitting or receiving signals, and there are no losses within the antenna system. Effective Aperture of Lossless Antenna is denoted by A_e symbol.

How to calculate Effective Aperture of Lossless Antenna using this online calculator? To use this online calculator for Effective Aperture of Lossless Antenna, enter Antenna Aperture Efficiency (η_a) & Physical Area of an Antenna (A) and hit the calculate button. Here is how the Effective Aperture of Lossless Antenna calculation can be explained with given input values -> 21.7 = 0.7*31.

FAQ

What is Effective Aperture of Lossless Antenna?

Effective Aperture of Lossless Antenna represents the portion of the aperture that captures or radiates energy without loss. In a lossless antenna, all the energy that falls on the physical aperture is effectively used for transmitting or receiving signals, and there are no losses within the antenna system and is represented as A_e = η_a*A or Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna. Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently & Physical Area of an Antenna refers to the actual physical size or cross-sectional area of the antenna structure.

How to calculate Effective Aperture of Lossless Antenna?

Effective Aperture of Lossless Antenna represents the portion of the aperture that captures or radiates energy without loss. In a lossless antenna, all the energy that falls on the physical aperture is effectively used for transmitting or receiving signals, and there are no losses within the antenna system is calculated using Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna. To calculate Effective Aperture of Lossless Antenna, you need Antenna Aperture Efficiency (η_a) & Physical Area of an Antenna (A). With our tool, you need to enter the respective value for Antenna Aperture Efficiency & Physical Area of an Antenna 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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