3dB Pulse Broadening Calculator

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Transmission Measurements

C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

✖Optical Output Pulse is the measurement of pulse width at output side.ⓘ Optical Output Pulse [τ_o]			+10% -10%
✖Optical Input Pulse is the measurement of the pulse widths at input side.ⓘ Optical Input Pulse [τ_i]			+10% -10%
✖Length Of Cable is the usually the measurement used to measure how long the cable is.ⓘ Length Of Cable [L₁]			+10% -10%

✖3dB Pulse Broadening is the phenomenon where a well-defined pulse of light becomes broader or stretched out as it propagates through a medium or a transmission system.ⓘ 3dB Pulse Broadening [τ_3dB]

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Formula

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3dB Pulse Broadening

Formula

`"τ"_{"3dB"} = sqrt("τ"_{"o"}^2-"τ"_{"i"}^2)/("L"_{"1"})`

Example

`"6.26688dB/m"=sqrt(("12.6s")^2-("0.3s")^2)/("2.01m")`

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3dB Pulse Broadening Solution

STEP 0: Pre-Calculation Summary

Formula Used

3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable)
τ_3dB = sqrt(τ_o^2-τ_i^2)/(L₁)
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

3dB Pulse Broadening - (Measured in Decibel per Meter) - 3dB Pulse Broadening is the phenomenon where a well-defined pulse of light becomes broader or stretched out as it propagates through a medium or a transmission system.
Optical Output Pulse - (Measured in Second) - Optical Output Pulse is the measurement of pulse width at output side.
Optical Input Pulse - (Measured in Second) - Optical Input Pulse is the measurement of the pulse widths at input side.
Length Of Cable - (Measured in Meter) - Length Of Cable is the usually the measurement used to measure how long the cable is.

STEP 1: Convert Input(s) to Base Unit

Optical Output Pulse: 12.6 Second --> 12.6 Second No Conversion Required
Optical Input Pulse: 0.3 Second --> 0.3 Second No Conversion Required
Length Of Cable: 2.01 Meter --> 2.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_3dB = sqrt(τ_o^2-τ_i^2)/(L₁) --> sqrt(12.6^2-0.3^2)/(2.01)

Evaluating ... ...

τ_3dB = 6.26687963439314

STEP 3: Convert Result to Output's Unit

6.26687963439314 Decibel per Meter --> No Conversion Required

FINAL ANSWER

6.26687963439314 ≈ 6.26688 Decibel per Meter <-- 3dB Pulse Broadening

(Calculation completed in 00.008 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 20 Transmission Measurements Calculators

Time Constant of Calorimeter

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

3dB Pulse Broadening Formula

3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable)
τ_3dB = sqrt(τ_o^2-τ_i^2)/(L₁)

Why do we need to calculate 3dB Pulse Broadening?

In optical communication and signal processing, the 3 dB pulse broadening is a significant parameter because it represents a 3 dB reduction in the peak intensity of the pulse, which is often used as a reference point in signal analysis.

How to Calculate 3dB Pulse Broadening?

3dB Pulse Broadening calculator uses 3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable) to calculate the 3dB Pulse Broadening, 3dB Pulse Broadening refers to the phenomenon where an initially short and well-defined pulse of light or any other electromagnetic signal becomes broader or stretched out as it propagates through a medium or a transmission system. 3dB Pulse Broadening is denoted by τ_3dB symbol.

How to calculate 3dB Pulse Broadening using this online calculator? To use this online calculator for 3dB Pulse Broadening, enter Optical Output Pulse (τ_o), Optical Input Pulse (τ_i) & Length Of Cable (L₁) and hit the calculate button. Here is how the 3dB Pulse Broadening calculation can be explained with given input values -> 0.006298 = sqrt(12.6^2-0.3^2)/(2.01).

FAQ

What is 3dB Pulse Broadening?

3dB Pulse Broadening refers to the phenomenon where an initially short and well-defined pulse of light or any other electromagnetic signal becomes broader or stretched out as it propagates through a medium or a transmission system and is represented as τ_3dB = sqrt(τ_o^2-τ_i^2)/(L₁) or 3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable). Optical Output Pulse is the measurement of pulse width at output side, Optical Input Pulse is the measurement of the pulse widths at input side & Length Of Cable is the usually the measurement used to measure how long the cable is.

How to calculate 3dB Pulse Broadening?

3dB Pulse Broadening refers to the phenomenon where an initially short and well-defined pulse of light or any other electromagnetic signal becomes broader or stretched out as it propagates through a medium or a transmission system is calculated using 3dB Pulse Broadening = sqrt(Optical Output Pulse^2-Optical Input Pulse^2)/(Length Of Cable). To calculate 3dB Pulse Broadening, you need Optical Output Pulse (τ_o), Optical Input Pulse (τ_i) & Length Of Cable (L₁). With our tool, you need to enter the respective value for Optical Output Pulse, Optical Input Pulse & Length Of Cable 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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