## 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
Ae = ηa*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
Ae = ηa*A --> 0.7*31
Evaluating ... ...
Ae = 21.7
STEP 3: Convert Result to Output's Unit
21.7 --> No Conversion Required
21.7 <-- Effective Aperture of Lossless Antenna
(Calculation completed in 00.004 seconds)
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Omnidirectional SIR
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
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
Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
Metal-Plate Lens Refractive Index
Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)
Spacing between Centers of Metallic Sphere
Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2))
Overall Noise Figure of Cascaded Networks
Overall Noise Figure = Noise Figure Network 1+(Noise Figure Network 2-1)/Gain of Network 1
Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
Luneburg Lens Refractive Index
Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise
Frequency Reuse Ratio
Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent)
Directive Gain
Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)
Signal to Co-channel Interference Ratio
Signal to Co-channel Interference Ratio = (1/6)*Frequency Reuse Ratio^Propagation Path Loss Exponent
Effective Aperture of Lossless Antenna
Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna
Effective Noise Temperature
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
Ae = ηa*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 Ae 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 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 Ae = ηa*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 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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