Maximum Gain of Antenna Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Maximum Radiated Power Density represents the maximum level of electromagnetic energy per unit area that is transmitted by the radar system in a specific direction.ⓘ Maximum Radiated Power Density [ρ_max]			+10% -10%
✖Lossless Isotropic Power Density represents the idealized electromagnetic energy distribution from an isotropic antenna radiating in a lossless medium.ⓘ Lossless Isotropic Power Density [ρ]			+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 [G_max]

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Formula

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Maximum Gain of Antenna

Formula

`"G"_{"max"} = "ρ"_{"max"}/"ρ" `

Example

`"1.5dB"="15kW/m³"/"10kW/m³" `

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Download Radar & Antenna Specifications Formulas PDF

Maximum Gain of Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density
G_max = ρ_max/ρ
This formula uses 3 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.
Maximum Radiated Power Density - (Measured in Watt Per Cubic Meter) - Maximum Radiated Power Density represents the maximum level of electromagnetic energy per unit area that is transmitted by the radar system in a specific direction.
Lossless Isotropic Power Density - (Measured in Watt Per Cubic Meter) - Lossless Isotropic Power Density represents the idealized electromagnetic energy distribution from an isotropic antenna radiating in a lossless medium.

STEP 1: Convert Input(s) to Base Unit

Maximum Radiated Power Density: 15 Kilowatt Per Cubic Meter --> 15000 Watt Per Cubic Meter (Check conversion here)
Lossless Isotropic Power Density: 10 Kilowatt Per Cubic Meter --> 10000 Watt Per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_max = ρ_max/ρ --> 15000/10000

Evaluating ... ...

G_max = 1.5

STEP 3: Convert Result to Output's Unit

1.5 Decibel --> No Conversion Required

FINAL ANSWER

1.5 Decibel <-- Maximum Gain of Antenna

(Calculation completed in 00.020 seconds)

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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

Maximum Gain of Antenna Formula

Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density
G_max = ρ_max/ρ

Is higher antenna gain better?

If you want to focus all of the signal to direct it to a distant target, then the high gain antenna is definitely the best choice. High gain antennas need to be pointed in a preferred direction to send RF signal so that limited signal can be intensified in desired location.

How to Calculate Maximum Gain of Antenna?

Maximum Gain of Antenna calculator uses Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density to calculate the Maximum Gain of Antenna, The Maximum Gain of Antenna formula is defined as how well the antenna converts input power into radio waves headed in a specified direction. Maximum Gain of Antenna is denoted by G_max symbol.

How to calculate Maximum Gain of Antenna using this online calculator? To use this online calculator for Maximum Gain of Antenna, enter Maximum Radiated Power Density (ρ_max) & Lossless Isotropic Power Density (ρ) and hit the calculate button. Here is how the Maximum Gain of Antenna calculation can be explained with given input values -> 1.5 = 15000/10000 .

FAQ

What is Maximum Gain of Antenna?

The Maximum Gain of Antenna formula is defined as how well the antenna converts input power into radio waves headed in a specified direction and is represented as G_max = ρ_max/ρ or Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density. Maximum Radiated Power Density represents the maximum level of electromagnetic energy per unit area that is transmitted by the radar system in a specific direction & Lossless Isotropic Power Density represents the idealized electromagnetic energy distribution from an isotropic antenna radiating in a lossless medium.

How to calculate Maximum Gain of Antenna?

The Maximum Gain of Antenna formula is defined as how well the antenna converts input power into radio waves headed in a specified direction is calculated using Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density. To calculate Maximum Gain of Antenna, you need Maximum Radiated Power Density (ρ_max) & Lossless Isotropic Power Density (ρ). With our tool, you need to enter the respective value for Maximum Radiated Power Density & Lossless Isotropic Power Density 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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