Normalised Propagation Constant Calculator

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Fiber Design Characteristics

Fiber Modelling Parameters

✖Effective Index of Mode is a way to describe the propagation characteristics of a specific mode (or electromagnetic wave) within a waveguide.ⓘ Effective Index of Mode [η_eff]			+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 Core [η_core]			+10% -10%

✖Normalised Propagation Constant is used to describe the behavior of electromagnetic waves or modes within optical waveguides or other guiding structures.ⓘ Normalised Propagation Constant [b]

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Formula

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Normalised Propagation Constant

Formula

`"b" = ("η"_{"eff"}-"η"_{"clad"})/("η"_{"core"}-"η"_{"clad"})`

Example

`"0.274194"=("1.29"-"1.273")/("1.335"-"1.273")`

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Normalised Propagation Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding)
b = (η_eff-η_clad)/(η_core-η_clad)
This formula uses 4 Variables

Variables Used

Normalised Propagation Constant - Normalised Propagation Constant is used to describe the behavior of electromagnetic waves or modes within optical waveguides or other guiding structures.
Effective Index of Mode - Effective Index of Mode is a way to describe the propagation characteristics of a specific mode (or electromagnetic wave) within a waveguide.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Effective Index of Mode: 1.29 --> No Conversion Required
Refractive Index of Cladding: 1.273 --> No Conversion Required
Refractive Index of Core: 1.335 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (η_eff-η_clad)/(η_core-η_clad) --> (1.29-1.273)/(1.335-1.273)

Evaluating ... ...

b = 0.274193548387099

STEP 3: Convert Result to Output's Unit

0.274193548387099 --> No Conversion Required

FINAL ANSWER

0.274193548387099 ≈ 0.274194 <-- Normalised Propagation Constant

(Calculation completed in 00.004 seconds)

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Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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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

Normalised Propagation Constant Formula

Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding)
b = (η_eff-η_clad)/(η_core-η_clad)

How is Normalised Propagation Constant helpful?

The normalized propagation constant (b) provides insights into the mode structure, confinement, and propagation characteristics of guided modes in optical waveguides. It is particularly useful for comparing different modes in waveguides of varying dimensions and refractive indices.

How to Calculate Normalised Propagation Constant?

Normalised Propagation Constant calculator uses Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding) to calculate the Normalised Propagation Constant, Normalised Propagation Constant is used to describe the behavior of electromagnetic waves or modes within optical waveguides or other guiding structures. It is particularly useful when analyzing and comparing waveguide modes with different wavelengths or in different types of waveguides. Normalised Propagation Constant is denoted by b symbol.

How to calculate Normalised Propagation Constant using this online calculator? To use this online calculator for Normalised Propagation Constant, enter Effective Index of Mode (η_eff), Refractive Index of Cladding (η_clad) & Refractive Index of Core (η_core) and hit the calculate button. Here is how the Normalised Propagation Constant calculation can be explained with given input values -> 0.274194 = (1.29-1.273)/(1.335-1.273).

FAQ

What is Normalised Propagation Constant?

Normalised Propagation Constant is used to describe the behavior of electromagnetic waves or modes within optical waveguides or other guiding structures. It is particularly useful when analyzing and comparing waveguide modes with different wavelengths or in different types of waveguides and is represented as b = (η_eff-η_clad)/(η_core-η_clad) or Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding). Effective Index of Mode is a way to describe the propagation characteristics of a specific mode (or electromagnetic wave) within a waveguide, Refractive Index of Cladding is the measure of bending of a ray of light when passing from one medium(surrounding) into another & 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.

How to calculate Normalised Propagation Constant?

Normalised Propagation Constant is used to describe the behavior of electromagnetic waves or modes within optical waveguides or other guiding structures. It is particularly useful when analyzing and comparing waveguide modes with different wavelengths or in different types of waveguides is calculated using Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding). To calculate Normalised Propagation Constant, you need Effective Index of Mode (η_eff), Refractive Index of Cladding (η_clad) & Refractive Index of Core (η_core). With our tool, you need to enter the respective value for Effective Index of Mode, Refractive Index of Cladding & Refractive Index of Core 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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