LCM of three numbers

Numerical Aperture Calculator

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Fiber Design Characteristics Fiber Modelling Parameters

✖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 Core [η_core]			+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%

✖Numerical Aperture is a measure of the light-gathering or light-capturing ability of an optical fiber or an optical system.ⓘ Numerical Aperture [NA]

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Numerical Aperture Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 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.
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

Refractive Index of Core: 1.335 --> No Conversion Required
Refractive Index of Cladding: 1.273 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

NA = sqrt((η_core^2)-(η_clad^2)) --> sqrt((1.335^2)-(1.273^2))

Evaluating ... ...

NA = 0.40211441157959

STEP 3: Convert Result to Output's Unit

0.40211441157959 --> No Conversion Required

FINAL ANSWER

0.40211441157959 ≈ 0.402114 <-- Numerical Aperture

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< Fiber Design Characteristics Calculators

Ray Optics Critical Angle

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

Numerical Aperture

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

Refractive Index of Fiber Core

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

Refractive Index of Cladding

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

Numerical Aperture Formula

LaTeX Go

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

Why is numerical aperture important?

Numerical aperture (abbreviated as 'NA') is an important consideration when trying to distinguish detail in a specimen viewed down the microscope. NA is a number without units and is related to the angles of light which are collected by a lens.

How to Calculate Numerical Aperture?

Numerical Aperture calculator uses Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2)) to calculate the Numerical Aperture, The Numerical Aperture formula is defined as the product of the refractive index of the beam from which the light input is received and the sine of the maximum ray angle against the axis, for which light can be transmitted through the system based on purely geometric considerations. Numerical Aperture is denoted by NA symbol.

How to calculate Numerical Aperture using this online calculator? To use this online calculator for Numerical Aperture, enter Refractive Index of Core (η_core) & Refractive Index of Cladding (η_clad) and hit the calculate button. Here is how the Numerical Aperture calculation can be explained with given input values -> 0.402114 = sqrt((1.335^2)-(1.273^2)).

FAQ

What is Numerical Aperture?

The Numerical Aperture formula is defined as the product of the refractive index of the beam from which the light input is received and the sine of the maximum ray angle against the axis, for which light can be transmitted through the system based on purely geometric considerations and is represented as NA = sqrt((η_core^2)-(η_clad^2)) or Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2)). 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 Cladding is the measure of bending of a ray of light when passing from one medium(surrounding) into another.

How to calculate Numerical Aperture?

The Numerical Aperture formula is defined as the product of the refractive index of the beam from which the light input is received and the sine of the maximum ray angle against the axis, for which light can be transmitted through the system based on purely geometric considerations is calculated using Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2)). To calculate Numerical Aperture, you need Refractive Index of Core (η_core) & Refractive Index of Cladding (η_clad). With our tool, you need to enter the respective value for Refractive Index of Core & 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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