Total Dispersion Calculator

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Fiber Optic Parameters

C-V Actions of Optics Transmission

Optical Detectors

Transmission Measurements

✖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.ⓘ Fiber Rise Time [t_cd]			+10% -10%
✖Pulse Spreading Time is the time which results as the polarisation mode dispersion takes place.ⓘ Pulse Spreading Time [t_pmd]			+10% -10%
✖Modal Dispersion Time is a type of dispersion that occurs in multimode fibers.ⓘ Modal Dispersion Time [t_mod]			+10% -10%

✖Dispersion in optical fibers refers to the spreading of light pulses as they travel along the fiber.ⓘ Total Dispersion [t_t]

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Formula

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Total Dispersion

Formula

`"t"_{"t"} = sqrt("t"_{"cd"}^2+"t"_{"pmd"}^2+"t"_{"mod"}^2)`

Example

`"320.7609s"=sqrt(("319.10s")^2+("32.60s")^2+("0.01s")^2)`

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Total Dispersion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2)
t_t = sqrt(t_cd^2+t_pmd^2+t_mod^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Dispersion - (Measured in Second) - Dispersion in optical fibers refers to the spreading of light pulses as they travel along the fiber.
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.
Pulse Spreading Time - (Measured in Second) - Pulse Spreading Time is the time which results as the polarisation mode dispersion takes place.
Modal Dispersion Time - (Measured in Second) - Modal Dispersion Time is a type of dispersion that occurs in multimode fibers.

STEP 1: Convert Input(s) to Base Unit

Fiber Rise Time: 319.1 Second --> 319.1 Second No Conversion Required
Pulse Spreading Time: 32.6 Second --> 32.6 Second No Conversion Required
Modal Dispersion Time: 0.01 Second --> 0.01 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_t = sqrt(t_cd^2+t_pmd^2+t_mod^2) --> sqrt(319.1^2+32.6^2+0.01^2)

Evaluating ... ...

t_t = 320.760923586399

STEP 3: Convert Result to Output's Unit

320.760923586399 Second --> No Conversion Required

FINAL ANSWER

320.760923586399 ≈ 320.7609 Second <-- Dispersion

(Calculation completed in 00.004 seconds)

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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)

Total Dispersion Formula

Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2)
t_t = sqrt(t_cd^2+t_pmd^2+t_mod^2)

What are the effects of total dispersion on the fiber optic communication system?

Total dispersion can limit the data rate of a fiber optic communication system. As the data rate increases, the pulse width decreases. If the pulse width becomes comparable to or less than the total dispersion, the pulses can overlap, causing inter-symbol interference (ISI). This can degrade the signal quality and limit the system’s data rate. Total dispersion can also limit the reach of a fiber optic system. Even if the data rate is not very high, for long-haul systems, the accumulated total dispersion can become significant and lead to system impairments. Unlike chromatic dispersion, which is deterministic and can be compensated for, total dispersion is a stochastic phenomenon, which means it varies randomly. This makes it challenging to compensate for total dispersion in a fiber optic system.

How to Calculate Total Dispersion?

Total Dispersion calculator uses Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2) to calculate the Dispersion, Total Dispersion refers to the cumulative effect of all types of dispersion present in the fiber, which can cause the spreading of optical pulses as they travel along the fiber. The total dispersion is often calculated as the sum of, “Total Dispersion” refers to the cumulative effect of all types of dispersion present in the fiber, which can cause the spreading of optical pulses as they travel along the fiber. The total dispersion is often calculated as the sum of Modal Dispersion, Chromatic Dispersion and Polarization Mode Dispersion. Dispersion is denoted by t_t symbol.

How to calculate Total Dispersion using this online calculator? To use this online calculator for Total Dispersion, enter Fiber Rise Time (t_cd), Pulse Spreading Time (t_pmd) & Modal Dispersion Time (t_mod) and hit the calculate button. Here is how the Total Dispersion calculation can be explained with given input values -> 320.7609 = sqrt(319.1^2+32.6^2+0.01^2).

FAQ

What is Total Dispersion?

Total Dispersion refers to the cumulative effect of all types of dispersion present in the fiber, which can cause the spreading of optical pulses as they travel along the fiber. The total dispersion is often calculated as the sum of, “Total Dispersion” refers to the cumulative effect of all types of dispersion present in the fiber, which can cause the spreading of optical pulses as they travel along the fiber. The total dispersion is often calculated as the sum of Modal Dispersion, Chromatic Dispersion and Polarization Mode Dispersion and is represented as t_t = sqrt(t_cd^2+t_pmd^2+t_mod^2) or Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2). 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, Pulse Spreading Time is the time which results as the polarisation mode dispersion takes place & Modal Dispersion Time is a type of dispersion that occurs in multimode fibers.

How to calculate Total Dispersion?

Total Dispersion refers to the cumulative effect of all types of dispersion present in the fiber, which can cause the spreading of optical pulses as they travel along the fiber. The total dispersion is often calculated as the sum of, “Total Dispersion” refers to the cumulative effect of all types of dispersion present in the fiber, which can cause the spreading of optical pulses as they travel along the fiber. The total dispersion is often calculated as the sum of Modal Dispersion, Chromatic Dispersion and Polarization Mode Dispersion is calculated using Dispersion = sqrt(Fiber Rise Time^2+Pulse Spreading Time^2+Modal Dispersion Time^2). To calculate Total Dispersion, you need Fiber Rise Time (t_cd), Pulse Spreading Time (t_pmd) & Modal Dispersion Time (t_mod). With our tool, you need to enter the respective value for Fiber Rise Time, Pulse Spreading Time & Modal Dispersion Time 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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