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Normalised Propagation Constant Formula

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Normalised Propagation Constant is used to describe the behavior of electromagnetic waves or modes within optical waveguides or other guiding structures. Check FAQs

b = \frac{η eff - η clad}{η core - η clad}

b - Normalised Propagation Constant?η_eff - Effective Index of Mode?η_clad - Refractive Index of Cladding?η_core - Refractive Index of Core?

Normalised Propagation Constant Example

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Here is how the Normalised Propagation Constant equation looks like with Values.

Here is how the Normalised Propagation Constant equation looks like with Units.

Here is how the Normalised Propagation Constant equation looks like.

0.2742 = \frac{1.29 - 1.273}{1.335 - 1.273}

0.2742 = \frac{1.29 - 1.273}{1.335 - 1.273}

0.2742 = \frac{1.29 - 1.273}{1.335 - 1.273}

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Normalised Propagation Constant Solution

Follow our step by step solution on how to calculate Normalised Propagation Constant?

FIRST Step Consider the formula

b = \frac{η eff - η clad}{η core - η clad}

Next Step Substitute values of Variables

∴

b = \frac{1.29 - 1.273}{1.335 - 1.273}

Next Step Prepare to Evaluate

∴

b = \frac{1.29 - 1.273}{1.335 - 1.273}

Next Step Evaluate

∴

b = 0.274193548387099

LAST Step Rounding Answer

∴

b = 0.2742

Normalised Propagation Constant Formula Elements

Variables

Normalised Propagation Constant

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

Symbol: b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Normalised Propagation Constant

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.

Symbol: η_eff

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Index of Mode

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.

Symbol: η_clad

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index of Cladding

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.

Symbol: η_core

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index of Core

Other formulas in Fiber Design Characteristics category

Go Numerical Aperture

NA = \sqrt{({η core}^{2}) - ({η clad}^{2})}

Go Refractive Index of Fiber Core

η core = \sqrt{{NA}^{2} + {η clad}^{2}}

Go Refractive Index of Cladding

η clad = \sqrt{{η core}^{2} - {NA}^{2}}

Go Ray Optics Critical Angle

θ = {\sin (\frac{η r}{η i})}^{- 1}

How to Evaluate Normalised Propagation Constant?

Normalised Propagation Constant evaluator uses Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding) to evaluate 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 evaluate Normalised Propagation Constant using this online evaluator? To use this online evaluator 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.

FAQs on Normalised Propagation Constant

What is the formula to find Normalised Propagation Constant?

The formula of Normalised Propagation Constant is expressed as Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding). Here is an example- 0.274194 = (1.29-1.273)/(1.335-1.273).

How to calculate Normalised Propagation Constant?

With Effective Index of Mode (η_eff), Refractive Index of Cladding (η_clad) & Refractive Index of Core (η_core) we can find Normalised Propagation Constant using the formula - Normalised Propagation Constant = (Effective Index of Mode-Refractive Index of Cladding)/(Refractive Index of Core-Refractive Index of Cladding).

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Normalised Propagation Constant Formula

Normalised Propagation Constant Example

Normalised Propagation Constant Solution

Normalised Propagation Constant Formula Elements

Other formulas in Fiber Design Characteristics category

How to Evaluate Normalised Propagation Constant?

FAQs on Normalised Propagation Constant

Variable Name