Power Density Radiated by Lossless 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%
✖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]			+10% -10%

✖Lossless Isotropic Power Density represents the idealized electromagnetic energy distribution from an isotropic antenna radiating in a lossless medium.ⓘ Power Density Radiated by Lossless Antenna [ρ]

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Formula

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Power Density Radiated by Lossless Antenna

Formula

`"ρ" = "ρ"_{"max"}/"G"_{"max"}`

Example

`"10kW/m³"="15kW/m³"/"1.5dB"`

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Download Radar & Antenna Specifications Formulas PDF

Power Density Radiated by Lossless Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna
ρ = ρ_max/G_max
This formula uses 3 Variables

Variables Used

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.
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.
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.

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)
Maximum Gain of Antenna: 1.5 Decibel --> 1.5 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = ρ_max/G_max --> 15000/1.5

Evaluating ... ...

ρ = 10000

STEP 3: Convert Result to Output's Unit

10000 Watt Per Cubic Meter -->10 Kilowatt Per Cubic Meter (Check conversion here)

FINAL ANSWER

10 Kilowatt Per Cubic Meter <-- Lossless Isotropic Power Density

(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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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Radar Antenna Height

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

Target Height

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

Effective Area of Receiving Antenna

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

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

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

Range of Target

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

Measured Runtime

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

Power Density Radiated by Lossless Antenna Formula

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

What is Antenna gain?

In electromagnetics, an antenna's power gain or simply gain is a key performance number that combines the antenna's directivity and electrical efficiency.

How to Calculate Power Density Radiated by Lossless Antenna?

Power Density Radiated by Lossless Antenna calculator uses Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna to calculate the Lossless Isotropic Power Density, The Power Density Radiated by Lossless Antenna formula is defined as the lossless antenna that radiates power uniformly in all directions. Lossless Isotropic Power Density is denoted by ρ symbol.

How to calculate Power Density Radiated by Lossless Antenna using this online calculator? To use this online calculator for Power Density Radiated by Lossless Antenna, enter Maximum Radiated Power Density (ρ_max) & Maximum Gain of Antenna (G_max) and hit the calculate button. Here is how the Power Density Radiated by Lossless Antenna calculation can be explained with given input values -> 0.0003 = 15000/1.5.

FAQ

What is Power Density Radiated by Lossless Antenna?

The Power Density Radiated by Lossless Antenna formula is defined as the lossless antenna that radiates power uniformly in all directions and is represented as ρ = ρ_max/G_max or Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna. 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 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.

How to calculate Power Density Radiated by Lossless Antenna?

The Power Density Radiated by Lossless Antenna formula is defined as the lossless antenna that radiates power uniformly in all directions is calculated using Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna. To calculate Power Density Radiated by Lossless Antenna, you need Maximum Radiated Power Density (ρ_max) & Maximum Gain of Antenna (G_max). With our tool, you need to enter the respective value for Maximum Radiated Power Density & Maximum Gain of 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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