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((ηcore^2)-(ηclad^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((ηcore^2)-(ηclad^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)

Credits

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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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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

Numerical Aperture Formula

Numerical Aperture = sqrt((Refractive Index of Core^2)-(Refractive Index of Cladding^2))
NA = sqrt((ηcore^2)-(ηclad^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 core) & Refractive Index of Cladding 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((ηcore^2)-(ηclad^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 core) & Refractive Index of Cladding 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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