Gain of Parabolic Reflector Antenna Calculator

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Transmission Line & Antenna Theory

Transmission Line Characteristics

✖The efficiency factor of parabolic reflector in a transmission line is the fraction of power that is effectively radiated by the reflector compared to the total power incident on the reflector.ⓘ Efficiency Factor of Parabolic Reflector [k]			+10% -10%
✖Parabolic Reflector Diameter refers to the width of the reflector from one edge to the opposite edge, passing through the center.ⓘ Parabolic Reflector Diameter [D]			+10% -10%
✖The wavelength of an electromagnetic wave is an important parameter in the design and operation of transmission lines and antennas.ⓘ Wavelength [λ]			+10% -10%

✖The gain of parabolic reflector antenna in a transmission line depends on the efficiency of the antenna, the size of the reflector, and the operating frequency.ⓘ Gain of Parabolic Reflector Antenna [G_pr]

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Formula

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Gain of Parabolic Reflector Antenna

Formula

`"G"_{"pr"} = 10*log10("k"*(pi*"D"/"λ")^2)`

Example

`"0.394143dB"=10*log10("0.75"*(pi*"3m"/"7.8m")^2)`

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Download Transmission Line & Antenna Theory Formulas PDF

Gain of Parabolic Reflector Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2)
G_pr = 10*log10(k*(pi*D/λ)^2)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Gain of Parabolic Reflector Antenna - (Measured in Decibel) - The gain of parabolic reflector antenna in a transmission line depends on the efficiency of the antenna, the size of the reflector, and the operating frequency.
Efficiency Factor of Parabolic Reflector - The efficiency factor of parabolic reflector in a transmission line is the fraction of power that is effectively radiated by the reflector compared to the total power incident on the reflector.
Parabolic Reflector Diameter - (Measured in Meter) - Parabolic Reflector Diameter refers to the width of the reflector from one edge to the opposite edge, passing through the center.
Wavelength - (Measured in Meter) - The wavelength of an electromagnetic wave is an important parameter in the design and operation of transmission lines and antennas.

STEP 1: Convert Input(s) to Base Unit

Efficiency Factor of Parabolic Reflector: 0.75 --> No Conversion Required
Parabolic Reflector Diameter: 3 Meter --> 3 Meter No Conversion Required
Wavelength: 7.8 Meter --> 7.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_pr = 10*log10(k*(pi*D/λ)^2) --> 10*log10(0.75*(pi*3/7.8)^2)

Evaluating ... ...

G_pr = 0.394143128383319

STEP 3: Convert Result to Output's Unit

0.394143128383319 Decibel --> No Conversion Required

FINAL ANSWER

0.394143128383319 ≈ 0.394143 Decibel <-- Gain of Parabolic Reflector Antenna

(Calculation completed in 00.004 seconds)

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Created by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

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Verified by Saiju Shah

Jayawantrao Sawant College of Engineering (JSCOE), Pune

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< 15 Transmission Line & Antenna Theory Calculators

Gain of Parabolic Reflector Antenna

Go Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2)

Velocity of Propagation in Telephonic Cable

Go Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance))

Phase Constant in Telephone Cable

Go Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)

Return Loss(dB)

Go Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna)

Parallel Waveguide Distance from Cutoff Wavenumber

Go Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber

Cutoff Wavenumber in TM and TE Mode

Go Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance

Focal Length of Reflector

Go Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola))

Polarization Mismatch Loss

Go Polarization Mismatch Loss = -20*log10(cos(Theta))

Minimum Distance from Antenna

Go Minimum Distance from Antenna = (2*Parabolic Reflector Diameter^2)/Wavelength

Beamwidth of Reflector

Go Beamwidth = (70*Wavelength)/Parabolic Reflector Diameter

Voltage Maxima

Go Voltage Maxima = Incident Voltage+Reflected Voltage

Voltage Minima

Go Voltage Minima = Incident Voltage-Reflected Voltage

Current Maxima

Go Current Maxima = Incident Current+Reflected Current

Current Minima

Go Current Minima = Incident Current-Reflected Current

Velocity Factor

Go Velocity Factor = 1/(sqrt(Dielectric Constant))

Gain of Parabolic Reflector Antenna Formula

Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2)
G_pr = 10*log10(k*(pi*D/λ)^2)

What factors affect the calculation of gain of parabolic reflector antenna?

The parabolic reflector antenna gain is calculated as the gain over an isotropic source, i.e. relative to a source that radiates equally in all directions. This is a theoretical source that is used as the benchmark against which most antennas are compared. The gain is quoted in this manner is denoted as dB.

How to Calculate Gain of Parabolic Reflector Antenna?

Gain of Parabolic Reflector Antenna calculator uses Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2) to calculate the Gain of Parabolic Reflector Antenna, The Gain of Parabolic Reflector Antenna formula is defined as the gain of an isotropic source, i.e. relative to a source that radiates equally in all directions. This is a theoretical source that is used as the benchmark against which most antennas are compared. Gain of Parabolic Reflector Antenna is denoted by G_pr symbol.

How to calculate Gain of Parabolic Reflector Antenna using this online calculator? To use this online calculator for Gain of Parabolic Reflector Antenna, enter Efficiency Factor of Parabolic Reflector (k), Parabolic Reflector Diameter (D) & Wavelength (λ) and hit the calculate button. Here is how the Gain of Parabolic Reflector Antenna calculation can be explained with given input values -> 0.394143 = 10*log10(0.75*(pi*3/7.8)^2).

FAQ

What is Gain of Parabolic Reflector Antenna?

The Gain of Parabolic Reflector Antenna formula is defined as the gain of an isotropic source, i.e. relative to a source that radiates equally in all directions. This is a theoretical source that is used as the benchmark against which most antennas are compared and is represented as G_pr = 10*log10(k*(pi*D/λ)^2) or Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2). The efficiency factor of parabolic reflector in a transmission line is the fraction of power that is effectively radiated by the reflector compared to the total power incident on the reflector, Parabolic Reflector Diameter refers to the width of the reflector from one edge to the opposite edge, passing through the center & The wavelength of an electromagnetic wave is an important parameter in the design and operation of transmission lines and antennas.

How to calculate Gain of Parabolic Reflector Antenna?

The Gain of Parabolic Reflector Antenna formula is defined as the gain of an isotropic source, i.e. relative to a source that radiates equally in all directions. This is a theoretical source that is used as the benchmark against which most antennas are compared is calculated using Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2). To calculate Gain of Parabolic Reflector Antenna, you need Efficiency Factor of Parabolic Reflector (k), Parabolic Reflector Diameter (D) & Wavelength (λ). With our tool, you need to enter the respective value for Efficiency Factor of Parabolic Reflector, Parabolic Reflector Diameter & Wavelength 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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