Directive Gain Calculator

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Radar Antennas Reception

Radar & Antenna Specifications

Special Purpose Radars

✖Beam Width in X-plane is the angular width of the main lobe of the radiation pattern of an antenna along X-axis.ⓘ Beam Width in X-plane [θ_b]			+10% -10%
✖Beam Width in Y-plane is the angular width of the main lobe of the radiation pattern of an antenna along Y-axis.ⓘ Beam Width in Y-plane [φ_b]			+10% -10%

✖Directive Gain is measure of the ability of an antenna to concentrate energy in a particular direction.ⓘ Directive Gain [G_d]

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Formula

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Directive Gain

Formula

`"G"_{"d"} = (4*pi)/("θ"_{"b"}*"φ"_{"b"})`

Example

`"66.0367"=(4*pi)/("24.45°"*"25.55°")`

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Directive Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)
G_d = (4*pi)/(θ_b*φ_b)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Directive Gain - Directive Gain is measure of the ability of an antenna to concentrate energy in a particular direction.
Beam Width in X-plane - (Measured in Radian) - Beam Width in X-plane is the angular width of the main lobe of the radiation pattern of an antenna along X-axis.
Beam Width in Y-plane - (Measured in Radian) - Beam Width in Y-plane is the angular width of the main lobe of the radiation pattern of an antenna along Y-axis.

STEP 1: Convert Input(s) to Base Unit

Beam Width in X-plane: 24.45 Degree --> 0.426733002112533 Radian (Check conversion here)
Beam Width in Y-plane: 25.55 Degree --> 0.445931623884467 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_d = (4*pi)/(θ_b*φ_b) --> (4*pi)/(0.426733002112533*0.445931623884467)

Evaluating ... ...

G_d = 66.0366997617805

STEP 3: Convert Result to Output's Unit

66.0366997617805 --> No Conversion Required

FINAL ANSWER

66.0366997617805 ≈ 66.0367 <-- Directive Gain

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Radar System » Radar Antennas Reception » Directive Gain

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

Directive Gain Formula

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

Why is Directive Gain important?

Directivity is a crucial characteristic in antennas because it directly influences the way antennas transmit or receive electromagnetic waves, allowing them to efficiently communicate with other devices or systems

How to Calculate Directive Gain?

Directive Gain calculator uses Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane) to calculate the Directive Gain, Directive Gain is measure of the ability of an antenna to concentrate energy in a particular direction. It is also sometimes referred to as Directive Gain and this is descriptive of the antenna pattern. Directive Gain is denoted by G_d symbol.

How to calculate Directive Gain using this online calculator? To use this online calculator for Directive Gain, enter Beam Width in X-plane (θ_b) & Beam Width in Y-plane (φ_b) and hit the calculate button. Here is how the Directive Gain calculation can be explained with given input values -> 66.0367 = (4*pi)/(0.426733002112533*0.445931623884467).

FAQ

What is Directive Gain?

Directive Gain is measure of the ability of an antenna to concentrate energy in a particular direction. It is also sometimes referred to as Directive Gain and this is descriptive of the antenna pattern and is represented as G_d = (4*pi)/(θ_b*φ_b) or Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane). Beam Width in X-plane is the angular width of the main lobe of the radiation pattern of an antenna along X-axis & Beam Width in Y-plane is the angular width of the main lobe of the radiation pattern of an antenna along Y-axis.

How to calculate Directive Gain?

Directive Gain is measure of the ability of an antenna to concentrate energy in a particular direction. It is also sometimes referred to as Directive Gain and this is descriptive of the antenna pattern is calculated using Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane). To calculate Directive Gain, you need Beam Width in X-plane (θ_b) & Beam Width in Y-plane (φ_b). With our tool, you need to enter the respective value for Beam Width in X-plane & Beam Width in Y-plane 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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