Effective Path Length Calculator

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Radio Wave Propagation

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✖Total Attenuation refers to the reduction in signal strength or intensity as a signal travels through a medium, often due to factors like absorption, scattering, and diffraction.ⓘ Total Attenuation [A]			+10% -10%
✖Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.ⓘ Specific Attenuation [α]			+10% -10%

✖Effective Path Length refers to the total distance that a radio signal travels between a transmitter and a receiver, taking into account the effects of multipath propagation.ⓘ Effective Path Length [L_eff]

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Effective Path Length

Formula

`"L"_{"eff"} = "A"/"α"`

Example

`"12km"="360dB"/"0.03dB"`

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Effective Path Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Path Length = Total Attenuation/Specific Attenuation
L_eff = A/α
This formula uses 3 Variables

Variables Used

Effective Path Length - (Measured in Meter) - Effective Path Length refers to the total distance that a radio signal travels between a transmitter and a receiver, taking into account the effects of multipath propagation.
Total Attenuation - (Measured in Decibel) - Total Attenuation refers to the reduction in signal strength or intensity as a signal travels through a medium, often due to factors like absorption, scattering, and diffraction.
Specific Attenuation - (Measured in Decibel) - Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.

STEP 1: Convert Input(s) to Base Unit

Total Attenuation: 360 Decibel --> 360 Decibel No Conversion Required
Specific Attenuation: 0.03 Decibel --> 0.03 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_eff = A/α --> 360/0.03

Evaluating ... ...

L_eff = 12000

STEP 3: Convert Result to Output's Unit

12000 Meter -->12 Kilometer (Check conversion here)

FINAL ANSWER

12 Kilometer <-- Effective Path Length

(Calculation completed in 00.004 seconds)

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 14 Radio Wave Propagation Calculators

Rain Attenuation in Decibels

Go Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor

Specific Attenuation in Clouds or Fogs

Go Specific Attenuation due to Clouds = (Total Content of Liquid Water*Specific Attenuation Coefficient)/sin(Angle of Elevation)

Regression of Nodes

Go Regression Node = (Mean Motion*SCOM Constant)/(Semi Major Axis^2*(1-Eccentricity^2)^2)

Earth Station Altitude

Go Earth Station Altitude = Height of Rain-Slant Length*sin(Angle of Elevation)

Rain Height

Go Height of Rain = Slant Length*sin(Angle of Elevation)+Earth Station Altitude

Distribution of Rain Attenuation

Go Distribution of Rain Attenuation = 1+((2*Horizontal Projection Length)/(pi*Diameter of Rain Cell))

Horizontal Projection of Slant Length

Go Horizontal Projection Length = Slant Length*cos(Angle of Elevation)

Effective Path Length

Go Effective Path Length = Total Attenuation/Specific Attenuation

Specific Attenuation

Go Specific Attenuation = Total Attenuation/Effective Path Length

Total Attenuation

Go Total Attenuation = Effective Path Length*Specific Attenuation

Effective Path Length using Reduction Factor

Go Effective Path Length = Slant Length*Reduction Factor

Reduction Factor using Slant Length

Go Reduction Factor = Effective Path Length/Slant Length

Slant Length

Go Slant Length = Effective Path Length/Reduction Factor

Plasma Frequency Terms of Electronic Density

Go Plasma Frequency = 9*sqrt(Electron Density)

Effective Path Length Formula

Effective Path Length = Total Attenuation/Specific Attenuation
L_eff = A/α

What is Attenuation?

δ = (2π/λ)(OPD)
Attenuation refers to the reduction in the intensity, power, or magnitude of a signal or wave as it travels through a medium. This reduction can occur due to various factors, including absorption, scattering, reflection, diffraction, and other interactions between the signal and the medium. Attenuation is a common phenomenon in various fields, including telecommunications, acoustics, optics, and electromagnetic propagation.
where π is a constant (3.14159265) and λ is the wavelength of light illuminating the specimen. The optical path difference is the product of two terms: the thickness (t) and the difference in refractive index (n). The OPD can often be quite large even though the thickness of the object is quite thin.

How to Calculate Effective Path Length?

Effective Path Length calculator uses Effective Path Length = Total Attenuation/Specific Attenuation to calculate the Effective Path Length, The Effective Path Length generally refers to the distance that a signal or wave travels through a medium, accounting for any deviations or variations from a straight-line path. Effective Path Length is denoted by L_eff symbol.

How to calculate Effective Path Length using this online calculator? To use this online calculator for Effective Path Length, enter Total Attenuation (A) & Specific Attenuation (α) and hit the calculate button. Here is how the Effective Path Length calculation can be explained with given input values -> 0.000667 = 360/0.03.

FAQ

What is Effective Path Length?

The Effective Path Length generally refers to the distance that a signal or wave travels through a medium, accounting for any deviations or variations from a straight-line path and is represented as L_eff = A/α or Effective Path Length = Total Attenuation/Specific Attenuation. Total Attenuation refers to the reduction in signal strength or intensity as a signal travels through a medium, often due to factors like absorption, scattering, and diffraction & Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.

How to calculate Effective Path Length?

The Effective Path Length generally refers to the distance that a signal or wave travels through a medium, accounting for any deviations or variations from a straight-line path is calculated using Effective Path Length = Total Attenuation/Specific Attenuation. To calculate Effective Path Length, you need Total Attenuation (A) & Specific Attenuation (α). With our tool, you need to enter the respective value for Total Attenuation & Specific Attenuation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Effective Path Length?

In this formula, Effective Path Length uses Total Attenuation & Specific Attenuation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Effective Path Length = Slant Length*Reduction Factor

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