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Optical Attenuation Formula

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Attenuation Per Unit Length is defined as the rate at which the intensity of light or any electromagnetic wave decreases as it propagates through a medium. Check FAQs

α dB = \frac{10}{L 1 - L 2} \cdot \log 10 (\frac{V 2}{V 1})

α_dB - Attenuation Per Unit Length?L₁ - Length Of Cable?L₂ - Cut Length?V₂ - Photoreceiver Voltage At Cut Length?V₁ - Photoreceiver Voltage At Full Length?

Optical Attenuation Example

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Here is how the Optical Attenuation equation looks like with Values.

Here is how the Optical Attenuation equation looks like with Units.

Here is how the Optical Attenuation equation looks like.

20.2034 = \frac{10}{2.01 - 2} \cdot \log 10 (\frac{2.2}{2.1})

20.2034dB/m = \frac{10}{2.01m - 2m} \cdot \log 10 (\frac{2.2V}{2.1V})

20.2034 = \frac{10}{2.01 - 2} \cdot \log 10 (\frac{2.2}{2.1})

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Optical Attenuation Solution

Follow our step by step solution on how to calculate Optical Attenuation?

FIRST Step Consider the formula

α dB = \frac{10}{L 1 - L 2} \cdot \log 10 (\frac{V 2}{V 1})

Next Step Substitute values of Variables

∴

α dB = \frac{10}{2.01m - 2m} \cdot \log 10 (\frac{2.2V}{2.1V})

Next Step Prepare to Evaluate

∴

α dB = \frac{10}{2.01 - 2} \cdot \log 10 (\frac{2.2}{2.1})

Next Step Evaluate

∴

α dB = 20.2033860882874dB/m

LAST Step Rounding Answer

∴

α dB = 20.2034dB/m

Optical Attenuation Formula Elements

Variables

Functions

Attenuation Per Unit Length

Attenuation Per Unit Length is defined as the rate at which the intensity of light or any electromagnetic wave decreases as it propagates through a medium.

Symbol: α_dB

Measurement: AttenuationUnit: dB/m

Note: Value should be greater than 0.

Formulas to find Attenuation Per Unit Length

Length Of Cable

Length Of Cable is the usually the measurement used to measure how long the cable is.

Symbol: L₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length Of Cable

Cut Length

Cut Length is the measurement of fiber length which is cut.

Symbol: L₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cut Length

Photoreceiver Voltage At Cut Length

Photoreceiver Voltage At Cut Length is the voltage measured at receiver side when the fiber length is cut.

Symbol: V₂

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Photoreceiver Voltage At Cut Length

Photoreceiver Voltage At Full Length

Photoreceiver Voltage At Full Length is the voltage at the receiver side when the length of the fiber is maximum.

Symbol: V₁

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Photoreceiver Voltage At Full Length

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.

Syntax: log10(Number)

Other formulas in Transmission Measurements category

Go Absorption Loss

α abs = \frac{C \cdot T ∞}{P opt \cdot t c}

Go Time Constant of Calorimeter

t c = \frac{t 2 - t 1}{\ln (T ∞ - T t1) - \ln (T ∞ - T t2)}

Go Scattering Loss

α sc = (\frac{4.343 \cdot 10^{5}}{l}) \cdot (\frac{V sc}{V opt})

Go 3dB Pulse Broadening

τ 3dB = \frac{\sqrt{{τ o}^{2} - {τ i}^{2}}}{L 1}

How to Evaluate Optical Attenuation?

Optical Attenuation evaluator uses Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length) to evaluate the Attenuation Per Unit Length, Optical Attenuation per unit length is the rate at which light intensity decreases as it propagates through a medium. This attenuation can occur due to various factors, including absorption, scattering, and other interactions with the medium. Attenuation Per Unit Length is denoted by α_dB symbol.

How to evaluate Optical Attenuation using this online evaluator? To use this online evaluator for Optical Attenuation, enter Length Of Cable (L₁), Cut Length (L₂), Photoreceiver Voltage At Cut Length (V₂) & Photoreceiver Voltage At Full Length (V₁) and hit the calculate button.

FAQs on Optical Attenuation

What is the formula to find Optical Attenuation?

The formula of Optical Attenuation is expressed as Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length). Here is an example- 20.20339 = 10/(2.01-2)*log10(2.2/2.1).

How to calculate Optical Attenuation?

With Length Of Cable (L₁), Cut Length (L₂), Photoreceiver Voltage At Cut Length (V₂) & Photoreceiver Voltage At Full Length (V₁) we can find Optical Attenuation using the formula - Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length). This formula also uses Common Logarithm Function function(s).

Can the Optical Attenuation be negative?

No, the Optical Attenuation, measured in Attenuation cannot be negative.

Which unit is used to measure Optical Attenuation?

Optical Attenuation is usually measured using the Decibel per Meter[dB/m] for Attenuation. Neper per Meter[dB/m], Decibel per Kilometer[dB/m] are the few other units in which Optical Attenuation can be measured.

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Optical Attenuation Formula

Optical Attenuation Example

Optical Attenuation Solution

Optical Attenuation Formula Elements

Other formulas in Transmission Measurements category

How to Evaluate Optical Attenuation?

FAQs on Optical Attenuation

Variable Name