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Power Penalty Formula

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Power Penalty is a measure of how much the received optical power deviates from the ideal power level due to various impairments in the system. Check FAQs

P er = - 10 \cdot \log 10 (\frac{r e - 1}{r e + 1})

P_er - Power Penalty?r_e - Extinction Ratio?

Power Penalty Example

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Here is how the Power Penalty equation looks like with Values.

Here is how the Power Penalty equation looks like with Units.

Here is how the Power Penalty equation looks like.

0.7991 = - 10 \cdot \log 10 (\frac{10.9 - 1}{10.9 + 1})

0.7991dB = - 10 \cdot \log 10 (\frac{10.9dB - 1}{10.9dB + 1})

0.7991 = - 10 \cdot \log 10 (\frac{10.9 - 1}{10.9 + 1})

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Power Penalty Solution

Follow our step by step solution on how to calculate Power Penalty?

FIRST Step Consider the formula

P er = - 10 \cdot \log 10 (\frac{r e - 1}{r e + 1})

Next Step Substitute values of Variables

∴

P er = - 10 \cdot \log 10 (\frac{10.9dB - 1}{10.9dB + 1})

Next Step Prepare to Evaluate

∴

P er = - 10 \cdot \log 10 (\frac{10.9 - 1}{10.9 + 1})

Next Step Evaluate

∴

P er = 0.799117667949808dB

LAST Step Rounding Answer

∴

P er = 0.7991dB

Power Penalty Formula Elements

Variables

Functions

Power Penalty

Power Penalty is a measure of how much the received optical power deviates from the ideal power level due to various impairments in the system.

Symbol: P_er

Measurement: NoiseUnit: dB

Note: Value should be greater than 0.

Formulas to find Power Penalty

Extinction Ratio

Extinction Ratio represents the ratio of the average power in a logic 1 to the average power in a logic 0.

Symbol: r_e

Measurement: NoiseUnit: dB

Note: Value should be greater than 0.

Formulas to find Extinction Ratio

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 Power Penalty?

Power Penalty evaluator uses Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1)) to evaluate the Power Penalty, Power penalty is a measure of how much the received optical power deviates from the ideal power level due to various impairments in the system. In the context of nonideal ER, power penalty quantifies the additional power loss or distortion in the received signal caused by an insufficient extinction ratio. Power Penalty is denoted by P_er symbol.

How to evaluate Power Penalty using this online evaluator? To use this online evaluator for Power Penalty, enter Extinction Ratio (r_e) and hit the calculate button.

FAQs on Power Penalty

What is the formula to find Power Penalty?

The formula of Power Penalty is expressed as Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1)). Here is an example- 0.799118 = -10*log10((10.9-1)/(10.9+1)).

How to calculate Power Penalty?

With Extinction Ratio (r_e) we can find Power Penalty using the formula - Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1)). This formula also uses Common Logarithm Function function(s).

Can the Power Penalty be negative?

No, the Power Penalty, measured in Noise cannot be negative.

Which unit is used to measure Power Penalty?

Power Penalty is usually measured using the Decibel[dB] for Noise. Neper[dB], MilliDecibel[dB] are the few other units in which Power Penalty can be measured.

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