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Power Penalty Arising from Chromatic Dispersion Formula

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Chromatic Dispersion Power Penalty in dB is a phenomenon that occurs in optical fiber communication systems due to chromatic dispersion. Check FAQs

P cd = - 5 \cdot \log 10 (1 - {(4 \cdot B opt \cdot L opt \cdot D cd \cdot FSR)}^{2})

P_cd - Chromatic Dispersion Power Penalty in dB?B_opt - Bit Rate?L_opt - Length of Optical Fiber?D_cd - Chromatic Dispersion Coefficient?FSR - Free Spectral Range Wavelength?

Power Penalty Arising from Chromatic Dispersion Example

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Here is how the Power Penalty Arising from Chromatic Dispersion equation looks like with Values.

Here is how the Power Penalty Arising from Chromatic Dispersion equation looks like with Units.

Here is how the Power Penalty Arising from Chromatic Dispersion equation looks like.

0.9398 = - 5 \cdot \log 10 (1 - {(4 \cdot 0.04 \cdot 500 \cdot 13.23 \cdot 0.56)}^{2})

0.9398 = - 5 \cdot \log 10 (1 - {(4 \cdot 0.04Gb/s \cdot 500m \cdot 13.23 \cdot 0.56pm)}^{2})

0.9398 = - 5 \cdot \log 10 (1 - {(4 \cdot 0.04 \cdot 500 \cdot 13.23 \cdot 0.56)}^{2})

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Power Penalty Arising from Chromatic Dispersion Solution

Follow our step by step solution on how to calculate Power Penalty Arising from Chromatic Dispersion?

FIRST Step Consider the formula

P cd = - 5 \cdot \log 10 (1 - {(4 \cdot B opt \cdot L opt \cdot D cd \cdot FSR)}^{2})

Next Step Substitute values of Variables

∴

P cd = - 5 \cdot \log 10 (1 - {(4 \cdot 0.04Gb/s \cdot 500m \cdot 13.23 \cdot 0.56pm)}^{2})

Next Step Convert Units

∴

P cd = - 5 \cdot \log 10 (1 - {(4 \cdot 4E+7b/s \cdot 500m \cdot 13.23 \cdot 5.6E-13m)}^{2})

Next Step Prepare to Evaluate

∴

P cd = - 5 \cdot \log 10 (1 - {(4 \cdot 4E+7 \cdot 500 \cdot 13.23 \cdot 5.6E-13)}^{2})

Next Step Evaluate

∴

P cd = 0.939773921347691

LAST Step Rounding Answer

∴

P cd = 0.9398

Power Penalty Arising from Chromatic Dispersion Formula Elements

Variables

Functions

Chromatic Dispersion Power Penalty in dB

Chromatic Dispersion Power Penalty in dB is a phenomenon that occurs in optical fiber communication systems due to chromatic dispersion.

Symbol: P_cd

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Chromatic Dispersion Power Penalty in dB

Bit Rate

Bit rate is a measure of the amount of data that is transferred per unit of time.

Symbol: B_opt

Measurement: BandwidthUnit: Gb/s

Note: Value should be greater than 0.

Formulas to find Bit Rate

Length of Optical Fiber

Length of Optical Fiber is the total length of the optical fiber used.

Symbol: L_opt

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Optical Fiber

Chromatic Dispersion Coefficient

Chromatic Dispersion Coefficient represents the type of fiber being used.

Symbol: D_cd

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chromatic Dispersion Coefficient

Free Spectral Range Wavelength

Free Spectral Range Wavelength or FSR is the distance between adjacent peaks in the optical wave.

Symbol: FSR

Measurement: LengthUnit: pm

Note: Value should be greater than 0.

Formulas to find Free Spectral Range Wavelength

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 Fiber Optic Parameters category

Go Carrier to Noise Ratio

CNR = \frac{P car}{P rin + P shot + P the}

Go Fiber Length Given Time Difference

l = \frac{[c] \cdot t dif}{2 \cdot η core}

Go Total Dispersion

t t = \sqrt{{t cd}^{2} + {t pmd}^{2} + {t mod}^{2}}

Go Refractive Index of Material Given Optical Power

η core = n 0 + n 2 \cdot (\frac{P i}{A eff})

How to Evaluate Power Penalty Arising from Chromatic Dispersion?

Power Penalty Arising from Chromatic Dispersion evaluator uses Chromatic Dispersion Power Penalty in dB = -5*log10(1-(4*Bit Rate*Length of Optical Fiber*Chromatic Dispersion Coefficient*Free Spectral Range Wavelength)^2) to evaluate the Chromatic Dispersion Power Penalty in dB, Power Penalty Arising from Chromatic Dispersion is a phenomenon that occurs in optical fiber communication systems due to chromatic dispersion. Chromatic dispersion is a property of optical fibers that causes different colors (or wavelengths) of light to travel at slightly different speeds. This can cause a broadening of optical pulses as they travel along the fiber. The power penalty arises because this pulse broadening can lead to a reduction in the amplitude of the pulses, which can degrade the signal-to-noise ratio (SNR) and cause errors in data transmission. This is particularly problematic in high-speed digital systems and analog video systems. Chromatic Dispersion Power Penalty in dB is denoted by P_cd symbol.

How to evaluate Power Penalty Arising from Chromatic Dispersion using this online evaluator? To use this online evaluator for Power Penalty Arising from Chromatic Dispersion, enter Bit Rate (B_opt), Length of Optical Fiber (L_opt), Chromatic Dispersion Coefficient (D_cd) & Free Spectral Range Wavelength (FSR) and hit the calculate button.

FAQs on Power Penalty Arising from Chromatic Dispersion

What is the formula to find Power Penalty Arising from Chromatic Dispersion?

The formula of Power Penalty Arising from Chromatic Dispersion is expressed as Chromatic Dispersion Power Penalty in dB = -5*log10(1-(4*Bit Rate*Length of Optical Fiber*Chromatic Dispersion Coefficient*Free Spectral Range Wavelength)^2). Here is an example- 0.939774 = -5*log10(1-(4*40000000*500*13.23*5.6E-13)^2).

How to calculate Power Penalty Arising from Chromatic Dispersion?

With Bit Rate (B_opt), Length of Optical Fiber (L_opt), Chromatic Dispersion Coefficient (D_cd) & Free Spectral Range Wavelength (FSR) we can find Power Penalty Arising from Chromatic Dispersion using the formula - Chromatic Dispersion Power Penalty in dB = -5*log10(1-(4*Bit Rate*Length of Optical Fiber*Chromatic Dispersion Coefficient*Free Spectral Range Wavelength)^2). This formula also uses Common Logarithm (log10) function(s).

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Power Penalty Arising from Chromatic Dispersion Formula

Power Penalty Arising from Chromatic Dispersion Example

Power Penalty Arising from Chromatic Dispersion Solution

Power Penalty Arising from Chromatic Dispersion Formula Elements

Other formulas in Fiber Optic Parameters category

How to Evaluate Power Penalty Arising from Chromatic Dispersion?

FAQs on Power Penalty Arising from Chromatic Dispersion

Variable Name