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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%

✖Delta Parameter refers to the phase shift experienced by light as it passes through a thin optical element.ⓘ Delta Parameter [Δ]

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Formula

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Delta Parameter

Formula

`"Δ" = ("η"_{"core"}^2-"η"_{"clad"}^2)/("η"_{"core"}^2)`

Example

`"0.090727"=(("1.335")^2-("1.273")^2)/(("1.335")^2)`

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Delta Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^2)
Δ = (η_core^2-η_clad^2)/(η_core^2)
This formula uses 3 Variables

Variables Used

Delta Parameter - Delta Parameter refers to the phase shift experienced by light as it passes through a thin optical element.
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

Δ = (η_core^2-η_clad^2)/(η_core^2) --> (1.335^2-1.273^2)/(1.335^2)

Evaluating ... ...

Δ = 0.0907270406374057

STEP 3: Convert Result to Output's Unit

0.0907270406374057 --> No Conversion Required

FINAL ANSWER

0.0907270406374057 ≈ 0.090727 <-- Delta Parameter

(Calculation completed in 00.004 seconds)

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Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

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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

Delta Parameter Formula

Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^2)
Δ = (η_core^2-η_clad^2)/(η_core^2)

Why is Delta Parameter significant?

The delta parameter is important in various optical applications, such as interferometry, thin film optics, and the design of optical coatings. For example, in interferometry, the delta parameter plays a crucial role in determining the interference patterns and can be used to measure various parameters, including the thickness of a material or the refractive index of a substance.

How to Calculate Delta Parameter?

Delta Parameter calculator uses Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^2) to calculate the Delta Parameter, Delta Parameter refers to the phase shift experienced by light as it passes through a thin optical element, such as a thin lens or a thin layer of a material. The delta parameter is often used to describe the optical path difference (OPD) or phase delay introduced by the optical element. Delta Parameter is denoted by Δ symbol.

How to calculate Delta Parameter using this online calculator? To use this online calculator for Delta Parameter, enter Refractive Index of Core (η_core) & Refractive Index of Cladding (η_clad) and hit the calculate button. Here is how the Delta Parameter calculation can be explained with given input values -> 0.090727 = (1.335^2-1.273^2)/(1.335^2).

FAQ

What is Delta Parameter?

Delta Parameter refers to the phase shift experienced by light as it passes through a thin optical element, such as a thin lens or a thin layer of a material. The delta parameter is often used to describe the optical path difference (OPD) or phase delay introduced by the optical element and is represented as Δ = (η_core^2-η_clad^2)/(η_core^2) or Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^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 Delta Parameter?

Delta Parameter refers to the phase shift experienced by light as it passes through a thin optical element, such as a thin lens or a thin layer of a material. The delta parameter is often used to describe the optical path difference (OPD) or phase delay introduced by the optical element is calculated using Delta Parameter = (Refractive Index of Core^2-Refractive Index of Cladding^2)/(Refractive Index of Core^2). To calculate Delta Parameter, 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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