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Graded Index Length of Fiber Formula

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Grade index fiber is the measurement of fiber grade. Check FAQs

n gr = L \cdot η core

n_gr - Grade Index Fiber?L - Length of Fiber?η_core - Refractive Index of Core?

Graded Index Length of Fiber Example

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Here is how the Graded Index Length of Fiber equation looks like with Values.

Here is how the Graded Index Length of Fiber equation looks like with Units.

Here is how the Graded Index Length of Fiber equation looks like.

1.6688 = 1.25 \cdot 1.335

1.6688 = 1.25m \cdot 1.335

1.6688 = 1.25 \cdot 1.335

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Graded Index Length of Fiber Solution

Follow our step by step solution on how to calculate Graded Index Length of Fiber?

FIRST Step Consider the formula

n gr = L \cdot η core

Next Step Substitute values of Variables

∴

n gr = 1.25m \cdot 1.335

Next Step Prepare to Evaluate

∴

n gr = 1.25 \cdot 1.335

Next Step Evaluate

∴

n gr = 1.66875

LAST Step Rounding Answer

∴

n gr = 1.6688

Graded Index Length of Fiber Formula Elements

Variables

Grade Index Fiber

Grade index fiber is the measurement of fiber grade.

Symbol: n_gr

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Grade Index Fiber

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

Refractive Index of Core

The Refractive Index of Core is defined as how the light travels through that medium. It defines how much a light ray can bend when it enters from one medium to the other.

Symbol: η_core

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index of Core

Other formulas in Fiber Design Characteristics category

Go Numerical Aperture

NA = \sqrt{({η core}^{2}) - ({η clad}^{2})}

Go Refractive Index of Fiber Core

η core = \sqrt{{NA}^{2} + {η clad}^{2}}

Go Refractive Index of Cladding

η clad = \sqrt{{η core}^{2} - {NA}^{2}}

Go Ray Optics Critical Angle

θ = {\sin (\frac{η r}{η i})}^{- 1}

How to Evaluate Graded Index Length of Fiber?

Graded Index Length of Fiber evaluator uses Grade Index Fiber = Length of Fiber*Refractive Index of Core to evaluate the Grade Index Fiber, The Graded Index Length of Fiber formula is defined as a characteristic parameter of graded-index fibers, which have a refractive index that gradually decreases from the center (core) to the outer region (cladding) of the fiber. The graded index profile helps reduce the modal dispersion and improves the performance of the fiber in terms of bandwidth and pulse dispersion. Grade Index Fiber is denoted by n_gr symbol.

How to evaluate Graded Index Length of Fiber using this online evaluator? To use this online evaluator for Graded Index Length of Fiber, enter Length of Fiber (L) & Refractive Index of Core (η_core) and hit the calculate button.

FAQs on Graded Index Length of Fiber

What is the formula to find Graded Index Length of Fiber?

The formula of Graded Index Length of Fiber is expressed as Grade Index Fiber = Length of Fiber*Refractive Index of Core. Here is an example- 1.66875 = 1.25*1.335.

How to calculate Graded Index Length of Fiber?

With Length of Fiber (L) & Refractive Index of Core (η_core) we can find Graded Index Length of Fiber using the formula - Grade Index Fiber = Length of Fiber*Refractive Index of Core.

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