Power Penalty Arising from Chromatic Dispersion Calculator

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Fiber Optic Parameters

C-V Actions of Optics Transmission

Optical Detectors

Transmission Measurements

✖Bit rate is a measure of the amount of data that is transferred per unit of time.ⓘ Bit Rate [B_opt]			+10% -10%
✖Length of Optical Fiber is the total length of the optical fiber used.ⓘ Length of Optical Fiber [L_opt]			+10% -10%
✖Chromatic Dispersion Coefficient represents the type of fiber being used.ⓘ Chromatic Dispersion Coefficient [D_cd]			+10% -10%
✖Free Spectral Range Wavelength or FSR is the distance between adjacent peaks in the optical wave.ⓘ Free Spectral Range Wavelength [FSR]			+10% -10%

✖Chromatic Dispersion Power Penalty in dB is a phenomenon that occurs in optical fiber communication systems due to chromatic dispersion.ⓘ Power Penalty Arising from Chromatic Dispersion [P_cd]

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Formula

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Power Penalty Arising from Chromatic Dispersion

Formula

`"P"_{"cd"} = -5*log10(1-(4*"B"_{"opt"}*"L"_{"opt"}*"D"_{"cd"}*"FSR")^2)`

Example

`"0.939774"=-5*log10(1-(4*"0.04Gb/s"*"500m"*"13.23"*"0.56pm")^2)`

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Power Penalty Arising from Chromatic Dispersion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chromatic Dispersion Power Penalty in dB = -5*log10(1-(4*Bit Rate*Length of Optical Fiber*Chromatic Dispersion Coefficient*Free Spectral Range Wavelength)^2)
P_cd = -5*log10(1-(4*B_opt*L_opt*D_cd*FSR)^2)
This formula uses 1 Functions, 5 Variables

Functions Used

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., log10(Number)

Variables Used

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.
Bit Rate - (Measured in Bit Per Second) - Bit rate is a measure of the amount of data that is transferred per unit of time.
Length of Optical Fiber - (Measured in Meter) - Length of Optical Fiber is the total length of the optical fiber used.
Chromatic Dispersion Coefficient - Chromatic Dispersion Coefficient represents the type of fiber being used.
Free Spectral Range Wavelength - (Measured in Meter) - Free Spectral Range Wavelength or FSR is the distance between adjacent peaks in the optical wave.

STEP 1: Convert Input(s) to Base Unit

Bit Rate: 0.04 Gigabit per Second --> 40000000 Bit Per Second (Check conversion here)
Length of Optical Fiber: 500 Meter --> 500 Meter No Conversion Required
Chromatic Dispersion Coefficient: 13.23 --> No Conversion Required
Free Spectral Range Wavelength: 0.56 Picometer --> 5.6E-13 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_cd = -5*log10(1-(4*B_opt*L_opt*D_cd*FSR)^2) --> -5*log10(1-(4*40000000*500*13.23*5.6E-13)^2)

Evaluating ... ...

P_cd = 0.939773921347691

STEP 3: Convert Result to Output's Unit

0.939773921347691 --> No Conversion Required

FINAL ANSWER

0.939773921347691 ≈ 0.939774 <-- Chromatic Dispersion Power Penalty in dB

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Fiber Optic Transmission » Fiber Optic Parameters » Power Penalty Arising from Chromatic Dispersion

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Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

Vaidehi Singh has created this Calculator and 25+ more calculators!

Verified by Priyanka Patel

Lalbhai Dalpatbhai College of engineering (LDCE), Ahmedabad

Priyanka Patel has verified this Calculator and 10+ more calculators!

< 10+ Fiber Optic Parameters Calculators

Total System Rise Time

Go Total System Rise Time = sqrt(Transmitter Rise Time^2+Modal Dispersion Time^2+Fiber Rise Time^2+Pulse Spreading Time^2+Receiver Rise Time^2)

Power Penalty Arising from Chromatic Dispersion

Go Chromatic Dispersion Power Penalty in dB = -5*log10(1-(4*Bit Rate*Length of Optical Fiber*Chromatic Dispersion Coefficient*Free Spectral Range Wavelength)^2)

Reflected Power

Go Reflected Power of the Fiber = Incident Power*((Refractive Index of Core-Refractive Index of Air)/(Refractive Index of Core+Refractive Index of Air))^2

Refractive Index of Material Given Optical Power

Go Refractive Index of Core = Ordinary Refractive Index+Non Linear Index Coefficient*(Incident Optical Power/Effective Area)

Carrier to Noise Ratio

Go Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power)

Maximum Nominal Channel Power

Go Maximum Nominal Channel Power in dB = Class 3A Laser Output Power in dB-10*log10(Wavelength Division Multiplexing Channels)

Total Dispersion

Go Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2)

Fourth Intermodulation Product in Four Wave Mixing

Go Intermodulation Product = First Frequency+Second Frequency-Third Frequency

Fiber Length Given Time Difference

Go Fiber Length = ([c]*Time Difference)/(2*Refractive Index of Core)

Number of Mixing Products in Four Wave Mixing

Go Number of Mixing Products = Number of Frequencies^2/2*(Number of Frequencies-1)

Power Penalty Arising from Chromatic Dispersion Formula

what is the significance of Chromatic Dispersion Power Penalty?

Chromatic dispersion causes the pulses of light (“bits”) on the fiber to stretch out in time and reduce in amplitude. This stretching, known as pulse broadening, can lead to a reduction in the signal-to-noise ratio (SNR), causing errors in data transmission. Pulse broadening can cause the signal for one bit to overlap with the signal for the next bit, a phenomenon known as Inter-Symbol Interference (ISI). This can also lead to errors in data transmission. High levels of chromatic dispersion can severely limit the fiber-link transmission distance, particularly in high-speed digital systems and analog video systems.

How to Calculate Power Penalty Arising from Chromatic Dispersion?

Power Penalty Arising from Chromatic Dispersion calculator 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 calculate 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 calculate Power Penalty Arising from Chromatic Dispersion using this online calculator? To use this online calculator 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. Here is how the Power Penalty Arising from Chromatic Dispersion calculation can be explained with given input values -> 0.939774 = -5*log10(1-(4*40000000*500*13.23*5.6E-13)^2).

FAQ

What is Power Penalty Arising from Chromatic Dispersion?

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 and is represented as P_cd = -5*log10(1-(4*B_opt*L_opt*D_cd*FSR)^2) or Chromatic Dispersion Power Penalty in dB = -5*log10(1-(4*Bit Rate*Length of Optical Fiber*Chromatic Dispersion Coefficient*Free Spectral Range Wavelength)^2). Bit rate is a measure of the amount of data that is transferred per unit of time, Length of Optical Fiber is the total length of the optical fiber used, Chromatic Dispersion Coefficient represents the type of fiber being used & Free Spectral Range Wavelength or FSR is the distance between adjacent peaks in the optical wave.

How to calculate Power Penalty Arising from Chromatic Dispersion?

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 is calculated using 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 calculate Power Penalty Arising from Chromatic Dispersion, you need Bit Rate (B_opt), Length of Optical Fiber (L_opt), Chromatic Dispersion Coefficient (D_cd) & Free Spectral Range Wavelength (FSR). With our tool, you need to enter the respective value for Bit Rate, Length of Optical Fiber, Chromatic Dispersion Coefficient & Free Spectral Range Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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