Maximum Gain of Antenna given Antenna Diameter 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%
✖Antenna Diameter specifically represents the cross-sectional size or the physical width of the antenna.ⓘ Antenna Diameter [D]			+10% -10%
✖Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field.ⓘ Dielectric Constant of Artificial Dielectric [e]			+10% -10%

✖Maximum Gain of Antenna s a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator.ⓘ Maximum Gain of Antenna given Antenna Diameter [G_max]

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Formula

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Maximum Gain of Antenna given Antenna Diameter

Formula

`"G"_{"max"} = ("η"_{"a"}/43)*("D"/"e")^2`

Example

`"1.500001dB"=("0.7"/43)*("9.6951m"/"1.01")^2`

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Maximum Gain of Antenna given Antenna Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
G_max = (η_a/43)*(D/e)^2
This formula uses 4 Variables

Variables Used

Maximum Gain of Antenna - (Measured in Decibel) - Maximum Gain of Antenna s a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator.
Antenna Aperture Efficiency - Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently.
Antenna Diameter - (Measured in Meter) - Antenna Diameter specifically represents the cross-sectional size or the physical width of the antenna.
Dielectric Constant of Artificial Dielectric - Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field.

STEP 1: Convert Input(s) to Base Unit

Antenna Aperture Efficiency: 0.7 --> No Conversion Required
Antenna Diameter: 9.6951 Meter --> 9.6951 Meter No Conversion Required
Dielectric Constant of Artificial Dielectric: 1.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_max = (η_a/43)*(D/e)^2 --> (0.7/43)*(9.6951/1.01)^2

Evaluating ... ...

G_max = 1.50000056553963

STEP 3: Convert Result to Output's Unit

1.50000056553963 Decibel --> No Conversion Required

FINAL ANSWER

1.50000056553963 ≈ 1.500001 Decibel <-- Maximum Gain of Antenna

(Calculation completed in 00.004 seconds)

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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

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< 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

Maximum Gain of Antenna given Antenna Diameter Formula

Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
G_max = (η_a/43)*(D/e)^2

What is the significance of Maximum Gain of Antenna?

The maximum gain of an antenna is crucial because it indicates the antenna's ability to focus or direct electromagnetic waves in a specific direction. A higher gain implies that more energy is concentrated in the desired direction, increasing the antenna's effective range and signal strength. This is particularly important in communication systems, where a stronger signal can improve data transmission and reception quality.

How to Calculate Maximum Gain of Antenna given Antenna Diameter?

Maximum Gain of Antenna given Antenna Diameter calculator uses Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2 to calculate the Maximum Gain of Antenna, Maximum Gain of Antenna given Antenna Diameter and Dielectric Constant is a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator. Maximum Gain of Antenna is denoted by G_max symbol.

How to calculate Maximum Gain of Antenna given Antenna Diameter using this online calculator? To use this online calculator for Maximum Gain of Antenna given Antenna Diameter, enter Antenna Aperture Efficiency (η_a), Antenna Diameter (D) & Dielectric Constant of Artificial Dielectric (e) and hit the calculate button. Here is how the Maximum Gain of Antenna given Antenna Diameter calculation can be explained with given input values -> 1.49997 = (0.7/43)*(9.6951/1.01)^2.

FAQ

What is Maximum Gain of Antenna given Antenna Diameter?

Maximum Gain of Antenna given Antenna Diameter and Dielectric Constant is a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator and is represented as G_max = (η_a/43)*(D/e)^2 or Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2. Antenna Aperture Efficiency is defined as the efficiency of the antenna to radiate efficiently, Antenna Diameter specifically represents the cross-sectional size or the physical width of the antenna & Dielectric Constant of Artificial Dielectric is a measure of a material's ability to store electrical energy in an electric field.

How to calculate Maximum Gain of Antenna given Antenna Diameter?

Maximum Gain of Antenna given Antenna Diameter and Dielectric Constant is a measure of how much the antenna can concentrate the radiation it receives or transmits in a particular direction compared to an isotropic radiator is calculated using Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2. To calculate Maximum Gain of Antenna given Antenna Diameter, you need Antenna Aperture Efficiency (η_a), Antenna Diameter (D) & Dielectric Constant of Artificial Dielectric (e). With our tool, you need to enter the respective value for Antenna Aperture Efficiency, Antenna Diameter & Dielectric Constant of Artificial Dielectric 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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