Fiber Rise Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fiber Rise Time = modulus(Chromatic Dispersion Coefficient)*Length Of Cable*Half Power Spectral Width
tcd = modulus(Dcd)*L1*Δλ
This formula uses 1 Functions, 4 Variables
Functions Used
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus
Variables Used
Fiber Rise Time - (Measured in Second) - Fiber Rise Time of a signal is essentially the time it takes for the signal to transition from a lower voltage level to a higher voltage level.
Chromatic Dispersion Coefficient - Chromatic Dispersion Coefficient represents the type of fiber being used.
Length Of Cable - (Measured in Meter) - Length Of Cable is the usually the measurement used to measure how long the cable is.
Half Power Spectral Width - (Measured in Meter) - Half Power Spectral Width is a measure of the bandwidth or spectral width of a light source.
STEP 1: Convert Input(s) to Base Unit
Chromatic Dispersion Coefficient: 13.23 --> No Conversion Required
Length Of Cable: 2.01 Meter --> 2.01 Meter No Conversion Required
Half Power Spectral Width: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tcd = modulus(Dcd)*L1*Δλ --> modulus(13.23)*2.01*12
Evaluating ... ...
tcd = 319.1076
STEP 3: Convert Result to Output's Unit
319.1076 Second --> No Conversion Required
FINAL ANSWER
319.1076 Second <-- Fiber Rise Time
(Calculation completed in 00.020 seconds)

Credits

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Created by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
Santhosh Yadav has created this Calculator and 50+ more calculators!
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Verified by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
Ritwik Tripathi has verified this Calculator and 100+ more calculators!

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​ Go Time Constant = (Time Instance 2-Time Instance 1)/(ln(Maximum Temperature Rise-Temperature At Time t1)-ln(Maximum Temperature Rise-Temperature At Time t2))
Optical Attenuation
​ Go Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length)
Optical Return Loss
​ Go Optical Return Loss = 10*log10((Output Power*Reflected Power)/(Source Power*(Power at Port 2-Power at Port 4)))
Guided Modes Number
​ Go Guided Modes Number = ((pi*Radius of Core)/Wavelength of Light)^2*(Refractive Index of Core^2-Refractive Index of Cladding^2)
Bit Error Rate given SNR
​ Go Bit Error Rate = (1/sqrt(2*pi))*(exp(-Signal to Noise Ratio of Photodetector^2/2))/Signal to Noise Ratio of Photodetector
Fiber Rise Time
​ Go Fiber Rise Time = modulus(Chromatic Dispersion Coefficient)*Length Of Cable*Half Power Spectral Width
Ideal Etalon Transmission
​ Go Transmission of Etalon = (1+(4*Reflectivity)/(1-Reflectivity)^2*sin(Single-Pass Phase Shift/2)^2)^-1
3dB Pulse Broadening
​ Go 3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable)
Absorption Loss
​ Go Absorption Loss = (Thermal Capacity*Maximum Temperature Rise)/(Optical Power*Time Constant)
Free Spectral Range of Etalon
​ Go Free Spectral Range Wavelength = Wavelength of Light^2/(2*Refractive Index of Core*Slab Thickness)
Scattering Loss
​ Go Scattering Loss = ((4.343*10^5)/Fiber Length)*(Constant Output Optical Power/Output Optical Power)
Refractive Index Difference
​ Go Difference Refractive Index = (Fringe Displacements Number*Wavelength of Light)/Slab Thickness
Pulse Spreading Time
​ Go Pulse Spreading Time = Polarisation Mode Dispersion Coefficient*sqrt(Length Of Cable)
Finesse of Etalon
​ Go Finesse = (pi*sqrt(Reflectivity))/(1-Reflectivity)
Power Penalty
​ Go Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1))
Relative Attenuation
​ Go Relative Attenuation = 10*log10(Total Power/Spectral Power)
Bend Attenuation
​ Go Bend Attenuation = 10*log10(Total Power/Small Power)
Modal Rise Time
​ Go Modal Rise Time = (440*Length Of Cable)/Modal Dispersion Bandwidth
Optical Modulation Index
​ Go Modulation Index = Incident Power/Optical Power at Bias Current
Receiver Front End Rise Time
​ Go Received Rise Time = 350/Receiver Bandwidth

Fiber Rise Time Formula

Fiber Rise Time = modulus(Chromatic Dispersion Coefficient)*Length Of Cable*Half Power Spectral Width
tcd = modulus(Dcd)*L1*Δλ

Why is Fiber Rise Time important?

The rise time resulting from chromatic dispersion in optical fibers is of significant importance in high-speed data transmission systems. Chromatic dispersion occurs due to the fact that different wavelengths of light travel at slightly different speeds through the fiber, causing the signal to spread out in time.

How to Calculate Fiber Rise Time?

Fiber Rise Time calculator uses Fiber Rise Time = modulus(Chromatic Dispersion Coefficient)*Length Of Cable*Half Power Spectral Width to calculate the Fiber Rise Time, Fiber Rise Time is the time measured between the source signal transition from a lower voltage level (e.g., 10% of the maximum amplitude) to a higher voltage level (e.g., 90% of the maximum amplitude). Fiber Rise Time is denoted by tcd symbol.

How to calculate Fiber Rise Time using this online calculator? To use this online calculator for Fiber Rise Time, enter Chromatic Dispersion Coefficient (Dcd), Length Of Cable (L1) & Half Power Spectral Width (Δλ) and hit the calculate button. Here is how the Fiber Rise Time calculation can be explained with given input values -> 319.1076 = modulus(13.23)*2.01*12.

FAQ

What is Fiber Rise Time?
Fiber Rise Time is the time measured between the source signal transition from a lower voltage level (e.g., 10% of the maximum amplitude) to a higher voltage level (e.g., 90% of the maximum amplitude) and is represented as tcd = modulus(Dcd)*L1*Δλ or Fiber Rise Time = modulus(Chromatic Dispersion Coefficient)*Length Of Cable*Half Power Spectral Width. Chromatic Dispersion Coefficient represents the type of fiber being used, Length Of Cable is the usually the measurement used to measure how long the cable is & Half Power Spectral Width is a measure of the bandwidth or spectral width of a light source.
How to calculate Fiber Rise Time?
Fiber Rise Time is the time measured between the source signal transition from a lower voltage level (e.g., 10% of the maximum amplitude) to a higher voltage level (e.g., 90% of the maximum amplitude) is calculated using Fiber Rise Time = modulus(Chromatic Dispersion Coefficient)*Length Of Cable*Half Power Spectral Width. To calculate Fiber Rise Time, you need Chromatic Dispersion Coefficient (Dcd), Length Of Cable (L1) & Half Power Spectral Width (Δλ). With our tool, you need to enter the respective value for Chromatic Dispersion Coefficient, Length Of Cable & Half Power Spectral Width 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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