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Refractive Index of Fiber Core Formula

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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. Check FAQs

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

η_core - Refractive Index of Core?NA - Numerical Aperture?η_clad - Refractive Index of Cladding?

Refractive Index of Fiber Core Example

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Here is how the Refractive Index of Fiber Core equation looks like with Values.

Here is how the Refractive Index of Fiber Core equation looks like with Units.

Here is how the Refractive Index of Fiber Core equation looks like.

1.3344 = \sqrt{{0.4}^{2} + {1.273}^{2}}

1.3344 = \sqrt{{0.4}^{2} + {1.273}^{2}}

1.3344 = \sqrt{{0.4}^{2} + {1.273}^{2}}

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Refractive Index of Fiber Core Solution

Follow our step by step solution on how to calculate Refractive Index of Fiber Core?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η core = \sqrt{{0.4}^{2} + {1.273}^{2}}

Next Step Prepare to Evaluate

∴

η core = \sqrt{{0.4}^{2} + {1.273}^{2}}

Next Step Evaluate

∴

η core = 1.33436464281695

LAST Step Rounding Answer

∴

η core = 1.3344

Refractive Index of Fiber Core Formula Elements

Variables

Functions

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

Numerical Aperture

Numerical Aperture is a measure of the light-gathering or light-capturing ability of an optical fiber or an optical system.

Symbol: NA

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Numerical Aperture

Refractive Index of Cladding

Refractive Index of Cladding is the measure of bending of a ray of light when passing from one medium(surrounding) into another.

Symbol: η_clad

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index of Cladding

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Fiber Design Characteristics category

Go Numerical Aperture

NA = \sqrt{({η core}^{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}

Go Normalized Frequency

V = \sqrt{2 \cdot N M}

How to Evaluate Refractive Index of Fiber Core?

Refractive Index of Fiber Core evaluator uses Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2) to evaluate the Refractive Index of Core, The Refractive Index of Fiber Core formula is refers to the optical property that describes how light propagates through the core of an optical fiber. It is a measure of the speed at which light travels in the core material compared to its speed in a vacuum. Refractive Index of Core is denoted by η_core symbol.

How to evaluate Refractive Index of Fiber Core using this online evaluator? To use this online evaluator for Refractive Index of Fiber Core, enter Numerical Aperture (NA) & Refractive Index of Cladding (η_clad) and hit the calculate button.

FAQs on Refractive Index of Fiber Core

What is the formula to find Refractive Index of Fiber Core?

The formula of Refractive Index of Fiber Core is expressed as Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2). Here is an example- 1.334365 = sqrt(0.4^2+1.273^2).

How to calculate Refractive Index of Fiber Core?

With Numerical Aperture (NA) & Refractive Index of Cladding (η_clad) we can find Refractive Index of Fiber Core using the formula - Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2). This formula also uses Square Root Function function(s).

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Refractive Index of Fiber Core Formula

Refractive Index of Fiber Core Example

Refractive Index of Fiber Core Solution

Refractive Index of Fiber Core Formula Elements

Other formulas in Fiber Design Characteristics category

How to Evaluate Refractive Index of Fiber Core?

FAQs on Refractive Index of Fiber Core

Variable Name