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Effective Interaction Length Formula

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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. Check FAQs

L eff = \frac{1 - \exp (- (α \cdot L))}{α}

L_eff - Effective Interaction Length?α - Attenuation Loss?L - Length of Fiber?

Effective Interaction Length Example

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Here is how the Effective Interaction Length equation looks like with Values.

Here is how the Effective Interaction Length equation looks like with Units.

Here is how the Effective Interaction Length equation looks like.

0.3486 = \frac{1 - \exp (- (2.78 \cdot 1.25))}{2.78}

0.3486m = \frac{1 - \exp (- (2.78 \cdot 1.25m))}{2.78}

0.3486 = \frac{1 - \exp (- (2.78 \cdot 1.25))}{2.78}

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Effective Interaction Length Solution

Follow our step by step solution on how to calculate Effective Interaction Length?

FIRST Step Consider the formula

L eff = \frac{1 - \exp (- (α \cdot L))}{α}

Next Step Substitute values of Variables

∴

L eff = \frac{1 - \exp (- (2.78 \cdot 1.25m))}{2.78}

Next Step Prepare to Evaluate

∴

L eff = \frac{1 - \exp (- (2.78 \cdot 1.25))}{2.78}

Next Step Evaluate

∴

L eff = 0.348574879919721m

LAST Step Rounding Answer

∴

L eff = 0.3486m

Effective Interaction Length Formula Elements

Variables

Functions

Effective Interaction Length

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.

Symbol: L_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Interaction Length

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.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Attenuation Loss

Length of Fiber

Length of Fiber is defined as the total length of fiber cable.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Fiber

exp

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

Syntax: exp(Number)

Other formulas in Fiber Modelling Parameters category

Go Number of Modes using Normalized Frequency

N M = \frac{V^{2}}{2}

Go Diameter of Fiber

D = \frac{λ \cdot N M}{π \cdot NA}

Go Power Loss in Fiber

P α = P in \cdot \exp (α p \cdot L)

Go Fiber Attenuation Coefficient

α p = \frac{α}{4.343}

How to Evaluate Effective Interaction Length?

Effective Interaction Length evaluator uses Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss to evaluate 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 evaluate Effective Interaction Length using this online evaluator? To use this online evaluator for Effective Interaction Length, enter Attenuation Loss (α) & Length of Fiber (L) and hit the calculate button.

FAQs on Effective Interaction Length

What is the formula to find Effective Interaction Length?

The formula of Effective Interaction Length is expressed as Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss. Here is an example- 0.348575 = (1-exp(-(2.78*1.25)))/2.78.

How to calculate Effective Interaction Length?

With Attenuation Loss (α) & Length of Fiber (L) we can find Effective Interaction Length using the formula - Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss. This formula also uses Exponential Growth (exp) function(s).

Can the Effective Interaction Length be negative?

No, the Effective Interaction Length, measured in Length cannot be negative.

Which unit is used to measure Effective Interaction Length?

Effective Interaction Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Effective Interaction Length can be measured.

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