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Directive Gain Calculator

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Radar Antennas Reception Radar and 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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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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Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

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Vellore Institute of Technology (VIT Vellore), Vellore

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< Radar Antennas Reception Calculators

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Directive Gain

LaTeX Go Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)

Effective Aperture of Lossless Antenna

LaTeX Go Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna

Directive Gain Formula

LaTeX Go

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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