Effective Interaction Length Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖Attenuation loss in fiber optics refers to the reduction in the strength or intensity of an optical signal as it propagates through an optical fiber.ⓘ Attenuation Loss [α]			+10% -10%
✖Length of Fiber is defined as the total length of fiber cable.ⓘ Length of Fiber [L]			+10% -10%

✖Effective Interaction Length used to describe the distance over which light can interact with or propagate through the fiber before certain optical effects become significant.ⓘ Effective Interaction Length [L_eff]

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Formula

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Effective Interaction Length

Formula

`"L"_{"eff"} = (1-exp(-("α"*"L")))/"α"`

Example

`"0.348575m"=(1-exp(-("2.78"*"1.25m")))/"2.78"`

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Effective Interaction Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss
L_eff = (1-exp(-(α*L)))/α
This formula uses 1 Functions, 3 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

Effective Interaction Length - (Measured in Meter) - Effective Interaction Length used to describe the distance over which light can interact with or propagate through the fiber before certain optical effects become significant.
Attenuation Loss - Attenuation loss in fiber optics refers to the reduction in the strength or intensity of an optical signal 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

Attenuation Loss: 2.78 --> No Conversion Required
Length of Fiber: 1.25 Meter --> 1.25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_eff = (1-exp(-(α*L)))/α --> (1-exp(-(2.78*1.25)))/2.78

Evaluating ... ...

L_eff = 0.348574879919721

STEP 3: Convert Result to Output's Unit

0.348574879919721 Meter --> No Conversion Required

FINAL ANSWER

0.348574879919721 ≈ 0.348575 Meter <-- Effective Interaction Length

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Optical Fiber Design » Fiber Modelling Parameters » Effective Interaction Length

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!

< 19 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))

Photo Current Generated to Incident Optical Power

Go Photo Current Generated to Incident Optical Power = Photodetector Responsivity for Channel M*Power of Mth Channel+sum(x,1,Number of Channels,Photodetector Responsivity for Channel N*Filter Transmittivity for Channel N*Power in Nth Channel)

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

Effective Interaction Length Formula

Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss
L_eff = (1-exp(-(α*L)))/α

Why is Effective Interaction Length significant?

The Effective Interaction Length of an optical fiber or photonic device is a critical parameter that depends on the specific application and the nature of optical interactions involved. It can be influenced by factors like attenuation, dispersion, nonlinearity, and the design of the device or system. Optimizing the effective interaction length is essential for achieving desired optical performance and functionality in a wide range of applications.

How to Calculate Effective Interaction Length?

Effective Interaction Length calculator uses Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss to calculate the Effective Interaction Length, Effective Interaction Length of an optical fiber, sometimes referred to as the "interaction length" or "interaction region," is a term used to describe the distance over which light can interact with or propagate through the fiber before certain optical effects become significant. This concept is relevant in various optical and photonic devices and systems. Effective Interaction Length is denoted by L_eff symbol.

How to calculate Effective Interaction Length using this online calculator? To use this online calculator for Effective Interaction Length, enter Attenuation Loss (α) & Length of Fiber (L) and hit the calculate button. Here is how the Effective Interaction Length calculation can be explained with given input values -> 0.348575 = (1-exp(-(2.78*1.25)))/2.78.

FAQ

What is Effective Interaction Length?

Effective Interaction Length of an optical fiber, sometimes referred to as the "interaction length" or "interaction region," is a term used to describe the distance over which light can interact with or propagate through the fiber before certain optical effects become significant. This concept is relevant in various optical and photonic devices and systems and is represented as L_eff = (1-exp(-(α*L)))/α or Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss. Attenuation loss in fiber optics refers to the reduction in the strength or intensity of an optical signal as it propagates through an optical fiber & Length of Fiber is defined as the total length of fiber cable.

How to calculate Effective Interaction Length?

Effective Interaction Length of an optical fiber, sometimes referred to as the "interaction length" or "interaction region," is a term used to describe the distance over which light can interact with or propagate through the fiber before certain optical effects become significant. This concept is relevant in various optical and photonic devices and systems is calculated using Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss. To calculate Effective Interaction Length, you need Attenuation Loss (α) & Length of Fiber (L). With our tool, you need to enter the respective value for Attenuation Loss & 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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