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Optical Return Loss Formula

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Optical Return Loss (ORL) is a measure of the amount of light reflected back toward the source in an optical communication system, such as in optical fibers or other optical components. Check FAQs

ORL = 10 \cdot \log 10 (\frac{P out \cdot P ref}{P in \cdot (P r - P c)})

ORL - Optical Return Loss?P_out - Output Power?P_ref - Reflected Power?P_in - Source Power?P_r - Power at Port 2?P_c - Power at Port 4?

Optical Return Loss Example

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Here is how the Optical Return Loss equation looks like with Values.

Here is how the Optical Return Loss equation looks like with Units.

Here is how the Optical Return Loss equation looks like.

12.2134 = 10 \cdot \log 10 (\frac{13.011 \cdot 13.3}{13.01 \cdot (6.3 - 5.501)})

12.2134dB/m = 10 \cdot \log 10 (\frac{13.011W \cdot 13.3W}{13.01W \cdot (6.3W - 5.501W)})

12.2134 = 10 \cdot \log 10 (\frac{13.011 \cdot 13.3}{13.01 \cdot (6.3 - 5.501)})

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Optical Return Loss Solution

Follow our step by step solution on how to calculate Optical Return Loss?

FIRST Step Consider the formula

ORL = 10 \cdot \log 10 (\frac{P out \cdot P ref}{P in \cdot (P r - P c)})

Next Step Substitute values of Variables

∴

ORL = 10 \cdot \log 10 (\frac{13.011W \cdot 13.3W}{13.01W \cdot (6.3W - 5.501W)})

Next Step Prepare to Evaluate

∴

ORL = 10 \cdot \log 10 (\frac{13.011 \cdot 13.3}{13.01 \cdot (6.3 - 5.501)})

Next Step Evaluate

∴

ORL = 12.2133824195993dB/m

LAST Step Rounding Answer

∴

ORL = 12.2134dB/m

Optical Return Loss Formula Elements

Variables

Functions

Optical Return Loss

Optical Return Loss (ORL) is a measure of the amount of light reflected back toward the source in an optical communication system, such as in optical fibers or other optical components.

Symbol: ORL

Measurement: AttenuationUnit: dB/m

Note: Value should be greater than 0.

Formulas to find Optical Return Loss

Output Power

Output Power is the measurement of power at output side in a four-port coupler.

Symbol: P_out

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Output Power

Reflected Power

Reflected Power is the power incident on the reflector in a four port coupler.

Symbol: P_ref

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Reflected Power

Source Power

Source Power is the measurement of the power at the input side.

Symbol: P_in

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Source Power

Power at Port 2

Power at Port 2 is the measurement of power at port 2.

Symbol: P_r

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power at Port 2

Power at Port 4

Power at Port 4 is the power measured at the port 4 of the 4 port coupler.

Symbol: P_c

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Power at Port 4

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 Optical Attenuation

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

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})

How to Evaluate Optical Return Loss?

Optical Return Loss evaluator uses Optical Return Loss = 10*log10((Output Power*Reflected Power)/(Source Power*(Power at Port 2-Power at Port 4))) to evaluate the Optical Return Loss, Optical Return Loss (ORL) is a measure of the amount of optical power that is reflected back toward the source in an optical system, typically expressed in decibels (dB). In the context of a four-port optical coupler, such as a fiber optic coupler or splitter, ORL refers to the amount of optical power that is reflected back into one or more of the input ports when light is coupled into the device. Optical Return Loss is denoted by ORL symbol.

How to evaluate Optical Return Loss using this online evaluator? To use this online evaluator for Optical Return Loss, enter Output Power (P_out), Reflected Power (P_ref), Source Power (P_in), Power at Port 2 (P_r) & Power at Port 4 (P_c) and hit the calculate button.

FAQs on Optical Return Loss

What is the formula to find Optical Return Loss?

The formula of Optical Return Loss is expressed as Optical Return Loss = 10*log10((Output Power*Reflected Power)/(Source Power*(Power at Port 2-Power at Port 4))). Here is an example- 12.21338 = 10*log10((13.011*13.3)/(13.01*(6.3-5.501))).

How to calculate Optical Return Loss?

With Output Power (P_out), Reflected Power (P_ref), Source Power (P_in), Power at Port 2 (P_r) & Power at Port 4 (P_c) we can find Optical Return Loss using the formula - Optical Return Loss = 10*log10((Output Power*Reflected Power)/(Source Power*(Power at Port 2-Power at Port 4))). This formula also uses Common Logarithm (log10) function(s).

Can the Optical Return Loss be negative?

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

Which unit is used to measure Optical Return Loss?

Optical Return Loss 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 Return Loss can be measured.

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Optical Return Loss Formula

Optical Return Loss Example

Optical Return Loss Solution

Optical Return Loss Formula Elements

Other formulas in Transmission Measurements category

How to Evaluate Optical Return Loss?

FAQs on Optical Return Loss

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