Power Loss in Fiber Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖Input Power refers to the power of the signal at the beginning of fiber at time t=0.ⓘ Input Power [P_in]			+10% -10%
✖Attenuation coefficient is a measure of the rate at which an optical signal decreases in power as it propagates through an optical fiber.ⓘ Attenuation Coefficient [α_p]			+10% -10%
✖Length of Fiber is defined as the total length of fiber cable.ⓘ Length of Fiber [L]			+10% -10%

✖Power Loss Fiber is attenuation loss in fiber.ⓘ Power Loss in Fiber [P_α]

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Formula

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Power Loss in Fiber

Formula

`"P"_{"α"} = "P"_{"in"}*exp("α"_{"p"}*"L")`

Example

`"12.24048W"="5.5W"*exp("0.64"*"1.25m")`

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Download Optical Fiber Design Formulas PDF

Power Loss in Fiber Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber)
P_α = P_in*exp(α_p*L)
This formula uses 1 Functions, 4 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Power Loss Fiber - (Measured in Watt) - Power Loss Fiber is attenuation loss in fiber.
Input Power - (Measured in Watt) - Input Power refers to the power of the signal at the beginning of fiber at time t=0.
Attenuation Coefficient - Attenuation coefficient is a measure of the rate at which an optical signal decreases in power as it propagates through an optical fiber.
Length of Fiber - (Measured in Meter) - Length of Fiber is defined as the total length of fiber cable.

STEP 1: Convert Input(s) to Base Unit

Input Power: 5.5 Watt --> 5.5 Watt No Conversion Required
Attenuation Coefficient: 0.64 --> No Conversion Required
Length of Fiber: 1.25 Meter --> 1.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_α = P_in*exp(α_p*L) --> 5.5*exp(0.64*1.25)

Evaluating ... ...

P_α = 12.2404751067086

STEP 3: Convert Result to Output's Unit

12.2404751067086 Watt --> No Conversion Required

FINAL ANSWER

12.2404751067086 ≈ 12.24048 Watt <-- Power Loss Fiber

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 18 Fiber Modelling Parameters Calculators

Total Amplifier Gain for EDFA

Go Total Amplifier Gain for an EDFA = Confinement Factor*exp(int((Emission Cross Section*Population Density of Higher Energy Level-Absorption Cross Section*Population Density of Lower Energy Level)*x,x,0,Length of Fiber))

Phase Shift of Jth Channel

Go Phase Shift Jth Channel = Non Linear Parameter*Effective Interaction Length*(Power of Jth signal+2*sum(x,1,Range of Other Channels Except J,Power of Mth signal))

External Quantum Efficiency

Go External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle)

Effective Interaction Length

Go Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss

Non Linear Phase Shift

Go Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber)

Optical Dispersion

Go Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2

Diameter of Fiber

Go Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture)

Number of Modes

Go Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light

Power Loss in Fiber

Go Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber)

Gaussian Pulse

Go Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion)

Brillouin Shift

Go Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength

Modal Birefringence Degree

Go Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y)

Rayleigh Scattering

Go Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4)

Beat Length

Go Beat Length = Wavelength of Light/Modal Birefringence Degree

Group Velocity

Go Group Velocity = Length of Fiber/Group Delay

Fiber Length

Go Length of Fiber = Group Velocity*Group Delay

Fiber Attenuation Coefficient

Go Attenuation Coefficient = Attenuation Loss/4.343

Number of Modes using Normalized Frequency

Go Number of Modes = Normalized Frequency^2/2

Power Loss in Fiber Formula

Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber)
P_α = P_in*exp(α_p*L)

Is the loss of power introduced by the fiber?

Optical fiber is a fantastic medium for propagating light signals, and it rarely needs amplification in contrast to copper cables. High-quality single mode fiber will often exhibit attenuation (loss of power) as low as 0.1dB per kilometer.

How to Calculate Power Loss in Fiber?

Power Loss in Fiber calculator uses Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber) to calculate the Power Loss Fiber, Power Loss in Fiber formula refers to the reduction in the power of an optical signal as it propagates through an optical fiber at any particular length L, or it is the loss of power in light in an optical fiber is measured in decibels (dB). Power Loss Fiber is denoted by P_α symbol.

How to calculate Power Loss in Fiber using this online calculator? To use this online calculator for Power Loss in Fiber, enter Input Power (P_in), Attenuation Coefficient (α_p) & Length of Fiber (L) and hit the calculate button. Here is how the Power Loss in Fiber calculation can be explained with given input values -> 12.24048 = 5.5*exp(0.64*1.25).

FAQ

What is Power Loss in Fiber?

Power Loss in Fiber formula refers to the reduction in the power of an optical signal as it propagates through an optical fiber at any particular length L, or it is the loss of power in light in an optical fiber is measured in decibels (dB) and is represented as P_α = P_in*exp(α_p*L) or Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber). Input Power refers to the power of the signal at the beginning of fiber at time t=0, Attenuation coefficient is a measure of the rate at which an optical signal decreases in power as it propagates through an optical fiber & Length of Fiber is defined as the total length of fiber cable.

How to calculate Power Loss in Fiber?

Power Loss in Fiber formula refers to the reduction in the power of an optical signal as it propagates through an optical fiber at any particular length L, or it is the loss of power in light in an optical fiber is measured in decibels (dB) is calculated using Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber). To calculate Power Loss in Fiber, you need Input Power (P_in), Attenuation Coefficient (α_p) & Length of Fiber (L). With our tool, you need to enter the respective value for Input Power, Attenuation Coefficient & Length of Fiber 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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