Optical Attenuation Calculator

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Transmission Measurements

C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

✖Length Of Cable is the usually the measurement used to measure how long the cable is.ⓘ Length Of Cable [L₁]			+10% -10%
✖Cut Length is the measurement of fiber length which is cut.ⓘ Cut Length [L₂]			+10% -10%
✖Photoreceiver Voltage At Cut Length is the voltage measured at receiver side when the fiber length is cut.ⓘ Photoreceiver Voltage At Cut Length [V₂]			+10% -10%
✖Photoreceiver Voltage At Full Length is the voltage at the receiver side when the length of the fiber is maximum.ⓘ Photoreceiver Voltage At Full Length [V₁]			+10% -10%

✖Attenuation Per Unit Length is defined as the rate at which the intensity of light or any electromagnetic wave decreases as it propagates through a medium.ⓘ Optical Attenuation [α_dB]

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Formula

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Optical Attenuation

Formula

`"α"_{"dB"} = 10/("L"_{"1"}-"L"_{"2"})*log10("V"_{"2"}/"V"_{"1"})`

Example

`"20.20339dB/m"=10/("2.01m"-"2.0m")*log10("2.2V"/"2.1V")`

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Optical Attenuation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length)
α_dB = 10/(L₁-L₂)*log10(V₂/V₁)
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

Attenuation Per Unit Length - (Measured in Decibel per Meter) - Attenuation Per Unit Length is defined as the rate at which the intensity of light or any electromagnetic wave decreases as it propagates through a medium.
Length Of Cable - (Measured in Meter) - Length Of Cable is the usually the measurement used to measure how long the cable is.
Cut Length - (Measured in Meter) - Cut Length is the measurement of fiber length which is cut.
Photoreceiver Voltage At Cut Length - (Measured in Volt) - Photoreceiver Voltage At Cut Length is the voltage measured at receiver side when the fiber length is cut.
Photoreceiver Voltage At Full Length - (Measured in Volt) - Photoreceiver Voltage At Full Length is the voltage at the receiver side when the length of the fiber is maximum.

STEP 1: Convert Input(s) to Base Unit

Length Of Cable: 2.01 Meter --> 2.01 Meter No Conversion Required
Cut Length: 2 Meter --> 2 Meter No Conversion Required
Photoreceiver Voltage At Cut Length: 2.2 Volt --> 2.2 Volt No Conversion Required
Photoreceiver Voltage At Full Length: 2.1 Volt --> 2.1 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_dB = 10/(L₁-L₂)*log10(V₂/V₁) --> 10/(2.01-2)*log10(2.2/2.1)

Evaluating ... ...

α_dB = 20.2033860882874

STEP 3: Convert Result to Output's Unit

20.2033860882874 Decibel per Meter --> No Conversion Required

FINAL ANSWER

20.2033860882874 ≈ 20.20339 Decibel per Meter <-- Attenuation Per Unit Length

(Calculation completed in 00.004 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

Optical Attenuation Formula

Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length)
α_dB = 10/(L₁-L₂)*log10(V₂/V₁)

Why is Attenuation important?

Attenuation per unit length is important in optics because it helps us understand how light weakens as it travels through different materials. This knowledge is vital for designing optical systems, such as fiber optics for data transmission and medical imaging devices, where maintaining light intensity is crucial.

How to Calculate Optical Attenuation?

Optical Attenuation calculator uses Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length) to calculate the Attenuation Per Unit Length, Optical Attenuation per unit length is the rate at which light intensity decreases as it propagates through a medium. This attenuation can occur due to various factors, including absorption, scattering, and other interactions with the medium. Attenuation Per Unit Length is denoted by α_dB symbol.

How to calculate Optical Attenuation using this online calculator? To use this online calculator for Optical Attenuation, enter Length Of Cable (L₁), Cut Length (L₂), Photoreceiver Voltage At Cut Length (V₂) & Photoreceiver Voltage At Full Length (V₁) and hit the calculate button. Here is how the Optical Attenuation calculation can be explained with given input values -> 20.20339 = 10/(2.01-2)*log10(2.2/2.1).

FAQ

What is Optical Attenuation?

Optical Attenuation per unit length is the rate at which light intensity decreases as it propagates through a medium. This attenuation can occur due to various factors, including absorption, scattering, and other interactions with the medium and is represented as α_dB = 10/(L₁-L₂)*log10(V₂/V₁) or Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length). Length Of Cable is the usually the measurement used to measure how long the cable is, Cut Length is the measurement of fiber length which is cut, Photoreceiver Voltage At Cut Length is the voltage measured at receiver side when the fiber length is cut & Photoreceiver Voltage At Full Length is the voltage at the receiver side when the length of the fiber is maximum.

How to calculate Optical Attenuation?

Optical Attenuation per unit length is the rate at which light intensity decreases as it propagates through a medium. This attenuation can occur due to various factors, including absorption, scattering, and other interactions with the medium is calculated using Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length). To calculate Optical Attenuation, you need Length Of Cable (L₁), Cut Length (L₂), Photoreceiver Voltage At Cut Length (V₂) & Photoreceiver Voltage At Full Length (V₁). With our tool, you need to enter the respective value for Length Of Cable, Cut Length, Photoreceiver Voltage At Cut Length & Photoreceiver Voltage At Full Length 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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