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Number of Modes Formula

GoNumber of Modes using Normalized Frequency Formula

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Number of Modes refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber. Check FAQs

N M = \frac{2 \cdot π \cdot r core \cdot NA}{λ}

N_M - Number of Modes?r_core - Radius of Core?NA - Numerical Aperture?λ - Wavelength of Light?π - Archimedes' constant?

Number of Modes Example

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Here is how the Number of Modes equation looks like with Values.

Here is how the Number of Modes equation looks like with Units.

Here is how the Number of Modes equation looks like.

21.0791 = \frac{2 \cdot 3.1416 \cdot 13 \cdot 0.4}{1.55}

21.0791 = \frac{2 \cdot 3.1416 \cdot 13μm \cdot 0.4}{1.55μm}

21.0791 = \frac{2 \cdot 3.1416 \cdot 13 \cdot 0.4}{1.55}

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Number of Modes Solution

Follow our step by step solution on how to calculate Number of Modes?

FIRST Step Consider the formula

N M = \frac{2 \cdot π \cdot r core \cdot NA}{λ}

Next Step Substitute values of Variables

∴

N M = \frac{2 \cdot π \cdot 13μm \cdot 0.4}{1.55μm}

Next Step Substitute values of Constants

∴

N M = \frac{2 \cdot 3.1416 \cdot 13μm \cdot 0.4}{1.55μm}

Next Step Convert Units

∴

N M = \frac{2 \cdot 3.1416 \cdot 1.3E-5m \cdot 0.4}{1.6E-6m}

Next Step Prepare to Evaluate

∴

N M = \frac{2 \cdot 3.1416 \cdot 1.3E-5 \cdot 0.4}{1.6E-6}

Next Step Evaluate

∴

N M = 21.0790732886025

LAST Step Rounding Answer

∴

N M = 21.0791

Number of Modes Formula Elements

Variables

Constants

Number of Modes

Number of Modes refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber.

Symbol: N_M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Modes

Radius of Core

Radius of Core is the length measured from the center of the core to the core-cladding interface.

Symbol: r_core

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Radius of Core

Numerical Aperture

Numerical Aperture is a measure of the light-gathering or light-capturing ability of an optical fiber or an optical system.

Symbol: NA

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Numerical Aperture

Wavelength of Light

Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

Symbol: λ

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Wavelength of Light

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Number of Modes

Go Number of Modes using Normalized Frequency

N M = \frac{V^{2}}{2}

Other formulas in Fiber Modelling Parameters category

Go Diameter of Fiber

D = \frac{λ \cdot N M}{π \cdot NA}

Go Power Loss in Fiber

P α = P in \cdot \exp (α p \cdot L)

Go Fiber Attenuation Coefficient

α p = \frac{α}{4.343}

Go Fiber Length

L = V g \cdot T d

How to Evaluate Number of Modes?

Number of Modes evaluator uses Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light to evaluate the Number of Modes, Number of Modes refers to the different spatial propagation paths or patterns that an optical signal can take within a multimode optical fiber. Multimode fibers are designed to support multiple propagation modes, which are characterized by distinct optical paths that the light can follow as it travels through the fiber. Each mode corresponds to a different pattern of light rays bouncing off the inner walls of the fiber. Number of Modes is denoted by N_M symbol.

How to evaluate Number of Modes using this online evaluator? To use this online evaluator for Number of Modes, enter Radius of Core (r_core), Numerical Aperture (NA) & Wavelength of Light (λ) and hit the calculate button.

FAQs on Number of Modes

What is the formula to find Number of Modes?

The formula of Number of Modes is expressed as Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light. Here is an example- 21.07907 = (2*pi*1.3E-05*0.4)/1.55E-06.

How to calculate Number of Modes?

With Radius of Core (r_core), Numerical Aperture (NA) & Wavelength of Light (λ) we can find Number of Modes using the formula - Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light. This formula also uses Archimedes' constant .

What are the other ways to Calculate Number of Modes?

Here are the different ways to Calculate Number of Modes-

Number of Modes=Normalized Frequency^2/2

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Number of Modes Formula

​GoNumber of Modes using Normalized Frequency Formula

Number of Modes Example

Number of Modes Solution

Number of Modes Formula Elements

Other Formulas to find Number of Modes

Other formulas in Fiber Modelling Parameters category

How to Evaluate Number of Modes?

FAQs on Number of Modes

Variable Name

GoNumber of Modes using Normalized Frequency Formula