Refractive Index of Fiber Core Calculator

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Fiber Design Characteristics

Fiber Modelling Parameters

✖Numerical Aperture is a measure of the light-gathering or light-capturing ability of an optical fiber or an optical system.ⓘ Numerical Aperture [NA]			+10% -10%
✖Refractive Index of Cladding is the measure of bending of a ray of light when passing from one medium(surrounding) into another.ⓘ Refractive Index of Cladding [η_clad]			+10% -10%

✖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.ⓘ Refractive Index of Fiber Core [η_core]

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Formula

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Refractive Index of Fiber Core

Formula

`"η"_{"core"} = sqrt("NA"^2+"η"_{"clad"}^2)`

Example

`"1.334365"=sqrt(("0.4")^2+("1.273")^2)`

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Refractive Index of Fiber Core Solution

STEP 0: Pre-Calculation Summary

Formula Used

Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2)
η_core = sqrt(NA^2+η_clad^2)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Numerical Aperture: 0.4 --> No Conversion Required
Refractive Index of Cladding: 1.273 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_core = sqrt(NA^2+η_clad^2) --> sqrt(0.4^2+1.273^2)

Evaluating ... ...

η_core = 1.33436464281695

STEP 3: Convert Result to Output's Unit

1.33436464281695 --> No Conversion Required

FINAL ANSWER

1.33436464281695 ≈ 1.334365 <-- Refractive Index of Core

(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!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 12 Fiber Design Characteristics Calculators

Normalised Propagation Constant

Go Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding)

Delta Parameter

Go Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^2)

Ray Optics Critical Angle

Go Critical Angle = sin(Refractive Index Releasing Medium/Refractive Index Incident Medium)^-1

Numerical Aperture

Go Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2))

Refractive Index of Fiber Core

Go Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2)

Refractive Index of Cladding

Go Refractive Index of Cladding = sqrt(Refractive Index of Core^2-Numerical Aperture^2)

Optical Pulse Duration

Go Optical Pulse Duration = Length of Fiber*Optical Fiber Dispersion*Gaussian Pulse

Graded Index Length of Fiber

Go Grade Index Fiber = Length of Fiber*Refractive Index of Core

Plane Wave Velocity

Go Plane Wave Velocity = Angular Velocity/Propagation Constant

Phase Velocity in Optic Fiber

Go Phase Velocity = [c]/Effective Index of Mode

Normalized Frequency

Go Normalized Frequency = sqrt(2*Number of Modes)

Group Delay

Go Group Velocity = Length of Fiber/Group Delay

Refractive Index of Fiber Core Formula

Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2)
η_core = sqrt(NA^2+η_clad^2)

How does the refractive index of the core vary in step index fiber?

The refractive index of the core is maximum along the fibre axis and it gradually decreases. Here the refractive index varies radially from the axis of the fibre. Hence it is called graded index fibre.

How to Calculate Refractive Index of Fiber Core?

Refractive Index of Fiber Core calculator uses Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2) to calculate 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 calculate Refractive Index of Fiber Core using this online calculator? To use this online calculator for Refractive Index of Fiber Core, enter Numerical Aperture (NA) & Refractive Index of Cladding (η_clad) and hit the calculate button. Here is how the Refractive Index of Fiber Core calculation can be explained with given input values -> 1.334365 = sqrt(0.4^2+1.273^2).

FAQ

What is Refractive Index of Fiber 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 and is represented as η_core = sqrt(NA^2+η_clad^2) or Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2). Numerical Aperture is a measure of the light-gathering or light-capturing ability of an optical fiber or an optical system & Refractive Index of Cladding is the measure of bending of a ray of light when passing from one medium(surrounding) into another.

How to calculate Refractive Index of Fiber 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 is calculated using Refractive Index of Core = sqrt(Numerical Aperture^2+Refractive Index of Cladding^2). To calculate Refractive Index of Fiber Core, you need Numerical Aperture (NA) & Refractive Index of Cladding (η_clad). With our tool, you need to enter the respective value for Numerical Aperture & Refractive Index of Cladding 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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