Relative Attenuation Calculator

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Transmission Measurements

C-V Actions of Optics Transmission

Fiber Optic Parameters

Optical Detectors

✖Total Power is the measurement of all the power transmitted through the fiber.ⓘ Total Power [P_s]			+10% -10%
✖Spectral Power refers to the distribution of power or intensity of electromagnetic radiation as a function of its wavelength or frequency.ⓘ Spectral Power [P_m]			+10% -10%

✖Relative Attenuation is defined as the reduction in the intensity or power of light as it passes through a material or medium, often in comparison to a reference material or medium.ⓘ Relative Attenuation [α_m]

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Formula

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Relative Attenuation

Formula

`"α"_{"m"} = 10*log10("P"_{"s"}/"P"_{"m"})`

Example

`"3.424227dB/m"=10*log10("5.5W"/"2.5W")`

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Relative Attenuation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Relative Attenuation = 10*log10(Total Power/Spectral Power)
α_m = 10*log10(P_s/P_m)
This formula uses 1 Functions, 3 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

Relative Attenuation - (Measured in Decibel per Meter) - Relative Attenuation is defined as the reduction in the intensity or power of light as it passes through a material or medium, often in comparison to a reference material or medium.
Total Power - (Measured in Watt) - Total Power is the measurement of all the power transmitted through the fiber.
Spectral Power - (Measured in Watt) - Spectral Power refers to the distribution of power or intensity of electromagnetic radiation as a function of its wavelength or frequency.

STEP 1: Convert Input(s) to Base Unit

Total Power: 5.5 Watt --> 5.5 Watt No Conversion Required
Spectral Power: 2.5 Watt --> 2.5 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_m = 10*log10(P_s/P_m) --> 10*log10(5.5/2.5)

Evaluating ... ...

α_m = 3.42422680822206

STEP 3: Convert Result to Output's Unit

3.42422680822206 Decibel per Meter --> No Conversion Required

FINAL ANSWER

3.42422680822206 ≈ 3.424227 Decibel per Meter <-- Relative Attenuation

(Calculation completed in 00.021 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 Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ 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

Relative Attenuation Formula

Relative Attenuation = 10*log10(Total Power/Spectral Power)
α_m = 10*log10(P_s/P_m)

What is the significance of Relative Attenuation?

Relative attenuation in optics is crucial because it measures the reduction in the intensity of light or any electromagnetic wave as it passes through a medium. This parameter helps us understand how much the light is absorbed or scattered, which is essential for various applications, such as telecommunications, medical imaging, and material characterization.

How to Calculate Relative Attenuation?

Relative Attenuation calculator uses Relative Attenuation = 10*log10(Total Power/Spectral Power) to calculate the Relative Attenuation, Relative Attenuation in optics refers to the reduction in the intensity or power of light as it passes through a material or medium, often in comparison to a reference material or medium. It is a measure of how much the light is absorbed, scattered, or otherwise diminished as it travels through the substance. Relative Attenuation is denoted by α_m symbol.

How to calculate Relative Attenuation using this online calculator? To use this online calculator for Relative Attenuation, enter Total Power (P_s) & Spectral Power (P_m) and hit the calculate button. Here is how the Relative Attenuation calculation can be explained with given input values -> 3.424227 = 10*log10(5.5/2.5).

FAQ

What is Relative Attenuation?

Relative Attenuation in optics refers to the reduction in the intensity or power of light as it passes through a material or medium, often in comparison to a reference material or medium. It is a measure of how much the light is absorbed, scattered, or otherwise diminished as it travels through the substance and is represented as α_m = 10*log10(P_s/P_m) or Relative Attenuation = 10*log10(Total Power/Spectral Power). Total Power is the measurement of all the power transmitted through the fiber & Spectral Power refers to the distribution of power or intensity of electromagnetic radiation as a function of its wavelength or frequency.

How to calculate Relative Attenuation?

Relative Attenuation in optics refers to the reduction in the intensity or power of light as it passes through a material or medium, often in comparison to a reference material or medium. It is a measure of how much the light is absorbed, scattered, or otherwise diminished as it travels through the substance is calculated using Relative Attenuation = 10*log10(Total Power/Spectral Power). To calculate Relative Attenuation, you need Total Power (P_s) & Spectral Power (P_m). With our tool, you need to enter the respective value for Total Power & Spectral Power 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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