Focal Length of Reflector Calculator

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Transmission Line & Antenna Theory

Transmission Line Characteristics

✖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 depth of parabola is a characteristic associated with parabolic reflector antennas, which affects their gain and beamwidth.ⓘ Depth of Parabola [c]			+10% -10%

✖Focal Length of Reflector refers to the distance from the vertex (the deepest point of the reflector) to the focal point.ⓘ Focal Length of Reflector [f_ref]

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Formula

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Focal Length of Reflector

Formula

`"f"_{"ref"} = (("D"^2)/(16*"c"))`

Example

`"0.046875m"=((("3m")^2)/(16*"12m"))`

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Focal Length of Reflector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola))
f_ref = ((D^2)/(16*c))
This formula uses 3 Variables

Variables Used

Focal Length of Reflector - (Measured in Meter) - Focal Length of Reflector refers to the distance from the vertex (the deepest point of the reflector) to the focal point.
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.
Depth of Parabola - (Measured in Meter) - The depth of parabola is a characteristic associated with parabolic reflector antennas, which affects their gain and beamwidth.

STEP 1: Convert Input(s) to Base Unit

Parabolic Reflector Diameter: 3 Meter --> 3 Meter No Conversion Required
Depth of Parabola: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_ref = ((D^2)/(16*c)) --> ((3^2)/(16*12))

Evaluating ... ...

f_ref = 0.046875

STEP 3: Convert Result to Output's Unit

0.046875 Meter --> No Conversion Required

FINAL ANSWER

0.046875 Meter <-- Focal Length of Reflector

(Calculation completed in 00.004 seconds)

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Created by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

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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))

Focal Length of Reflector Formula

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

What is the significance of focal length in the parabolic reflector antenna theory?

To ensure that the antenna operates correctly, it is necessary to ensure that the radiating element is placed at the focal point. To determine this it is necessary to know the focal length.

How to Calculate Focal Length of Reflector?

Focal Length of Reflector calculator uses Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola)) to calculate the Focal Length of Reflector, Focal Length of Reflector refers to the distance from the vertex (the deepest point of the reflector) to the focal point. It is a critical parameter that characterizes the reflective properties of the surface and determines the degree of convergence or divergence of the reflected rays. Focal Length of Reflector is denoted by f_ref symbol.

How to calculate Focal Length of Reflector using this online calculator? To use this online calculator for Focal Length of Reflector, enter Parabolic Reflector Diameter (D) & Depth of Parabola (c) and hit the calculate button. Here is how the Focal Length of Reflector calculation can be explained with given input values -> 0.046875 = ((3^2)/(16*12)).

FAQ

What is Focal Length of Reflector?

Focal Length of Reflector refers to the distance from the vertex (the deepest point of the reflector) to the focal point. It is a critical parameter that characterizes the reflective properties of the surface and determines the degree of convergence or divergence of the reflected rays and is represented as f_ref = ((D^2)/(16*c)) or Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola)). Parabolic Reflector Diameter refers to the width of the reflector from one edge to the opposite edge, passing through the center & The depth of parabola is a characteristic associated with parabolic reflector antennas, which affects their gain and beamwidth.

How to calculate Focal Length of Reflector?

Focal Length of Reflector refers to the distance from the vertex (the deepest point of the reflector) to the focal point. It is a critical parameter that characterizes the reflective properties of the surface and determines the degree of convergence or divergence of the reflected rays is calculated using Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola)). To calculate Focal Length of Reflector, you need Parabolic Reflector Diameter (D) & Depth of Parabola (c). With our tool, you need to enter the respective value for Parabolic Reflector Diameter & Depth of Parabola 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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