Fiber Length Given Time Difference Calculator

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Fiber Optic Parameters

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✖Time Difference refers to the concept of latency or delay.ⓘ Time Difference [t_dif]			+10% -10%
✖The Refractive Index of Core is defined as how the light travels through that medium. It defines how much a light ray can bend when it enters from one medium to the other.ⓘ Refractive Index of Core [η_core]			+10% -10%

✖Fiber Length refers to the measure of how long the fiber is.ⓘ Fiber Length Given Time Difference [l]

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Formula

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Fiber Length Given Time Difference

Formula

`"l" = ("[c]"*"t"_{"dif"})/(2*"η"_{"core"})`

Example

`"442.3904m"=("[c]"*"3.94μs")/(2*"1.335")`

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Fiber Length Given Time Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fiber Length = ([c]*Time Difference)/(2*Refractive Index of Core)
l = ([c]*t_dif)/(2*η_core)
This formula uses 1 Constants, 3 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Fiber Length - (Measured in Meter) - Fiber Length refers to the measure of how long the fiber is.
Time Difference - (Measured in Second) - Time Difference refers to the concept of latency or delay.
Refractive Index of Core - The Refractive Index of Core is defined as how the light travels through that medium. It defines how much a light ray can bend when it enters from one medium to the other.

STEP 1: Convert Input(s) to Base Unit

Time Difference: 3.94 Microsecond --> 3.94E-06 Second (Check conversion here)
Refractive Index of Core: 1.335 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = ([c]*t_dif)/(2*η_core) --> ([c]*3.94E-06)/(2*1.335)

Evaluating ... ...

l = 442.390368734082

STEP 3: Convert Result to Output's Unit

442.390368734082 Meter --> No Conversion Required

FINAL ANSWER

442.390368734082 ≈ 442.3904 Meter <-- Fiber Length

(Calculation completed in 00.004 seconds)

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Credits

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)

Fiber Length Given Time Difference Formula

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

What is the length of optical fiber typically used for telecommunications?

In telecommunications, single-mode fibers are used for most communication links longer than 1,050 meters (3,440 ft). These fibers can span many miles for long-distance transmission. However, the length of the fiber can also be much shorter for applications such as fiber optic sensors and fiber lasers.

How to Calculate Fiber Length Given Time Difference?

Fiber Length Given Time Difference calculator uses Fiber Length = ([c]*Time Difference)/(2*Refractive Index of Core) to calculate the Fiber Length, Fiber Length Given Time Difference is the formula to calculate the length of the optical fiber using the delay or latency of the light wave. Optical fiber length refers to the physical length of the fiber optic cable. The length of an optical fiber can vary widely depending on its application. Fiber Length is denoted by l symbol.

How to calculate Fiber Length Given Time Difference using this online calculator? To use this online calculator for Fiber Length Given Time Difference, enter Time Difference (t_dif) & Refractive Index of Core (η_core) and hit the calculate button. Here is how the Fiber Length Given Time Difference calculation can be explained with given input values -> 442.3904 = ([c]*3.94E-06)/(2*1.335).

FAQ

What is Fiber Length Given Time Difference?

Fiber Length Given Time Difference is the formula to calculate the length of the optical fiber using the delay or latency of the light wave. Optical fiber length refers to the physical length of the fiber optic cable. The length of an optical fiber can vary widely depending on its application and is represented as l = ([c]*t_dif)/(2*η_core) or Fiber Length = ([c]*Time Difference)/(2*Refractive Index of Core). Time Difference refers to the concept of latency or delay & The Refractive Index of Core is defined as how the light travels through that medium. It defines how much a light ray can bend when it enters from one medium to the other.

How to calculate Fiber Length Given Time Difference?

Fiber Length Given Time Difference is the formula to calculate the length of the optical fiber using the delay or latency of the light wave. Optical fiber length refers to the physical length of the fiber optic cable. The length of an optical fiber can vary widely depending on its application is calculated using Fiber Length = ([c]*Time Difference)/(2*Refractive Index of Core). To calculate Fiber Length Given Time Difference, you need Time Difference (t_dif) & Refractive Index of Core (η_core). With our tool, you need to enter the respective value for Time Difference & Refractive Index of Core 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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