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Optical Dispersion Formula

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Optical Fiber Dispersion refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber. Check FAQs

D opt = \frac{2 \cdot π \cdot [c] \cdot β}{λ^{2}}

D_opt - Optical Fiber Dispersion?β - Propagation Constant?λ - Wavelength of Light?[c] - Light speed in vacuum?π - Archimedes' constant?

Optical Dispersion Example

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Here is how the Optical Dispersion equation looks like with Values.

Here is how the Optical Dispersion equation looks like with Units.

Here is how the Optical Dispersion equation looks like.

3E+6 = \frac{2 \cdot 3.1416 \cdot 3E+8 \cdot 3.8E-15}{{1.55}^{2}}

3E+6s²/m = \frac{2 \cdot 3.1416 \cdot 3E+8m/s \cdot 3.8E-15rad/m}{{1.55μm}^{2}}

3E+6 = \frac{2 \cdot 3.1416 \cdot 3E+8 \cdot 3.8E-15}{{1.55}^{2}}

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Optical Dispersion Solution

Follow our step by step solution on how to calculate Optical Dispersion?

FIRST Step Consider the formula

D opt = \frac{2 \cdot π \cdot [c] \cdot β}{λ^{2}}

Next Step Substitute values of Variables

∴

D opt = \frac{2 \cdot π \cdot [c] \cdot 3.8E-15rad/m}{{1.55μm}^{2}}

Next Step Substitute values of Constants

∴

D opt = \frac{2 \cdot 3.1416 \cdot 3E+8m/s \cdot 3.8E-15rad/m}{{1.55μm}^{2}}

Next Step Convert Units

∴

D opt = \frac{2 \cdot 3.1416 \cdot 3E+8m/s \cdot 3.8E-15rad/m}{{1.6E-6m}^{2}}

Next Step Prepare to Evaluate

∴

D opt = \frac{2 \cdot 3.1416 \cdot 3E+8 \cdot 3.8E-15}{{1.6E-6}^{2}}

Next Step Evaluate

∴

D opt = 2979344.83070703s²/m

LAST Step Rounding Answer

∴

D opt = 3E+6s²/m

Optical Dispersion Formula Elements

Variables

Constants

Optical Fiber Dispersion

Symbol: D_opt

Measurement: PresityUnit: s²/m

Note: Value can be positive or negative.

Formulas to find Optical Fiber Dispersion

Propagation Constant

Propagation Constant is defined as a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given direction.

Symbol: β

Measurement: Propagation ConstantUnit: rad/m

Note: Value should be greater than 0.

Formulas to find Propagation Constant

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

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

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 in Fiber Modelling Parameters category

Go Number of Modes using Normalized Frequency

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

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}

How to Evaluate Optical Dispersion?

Optical Dispersion evaluator uses Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2 to evaluate the Optical Fiber Dispersion, The Optical Dispersion formula refers to the phenomenon where different wavelengths of light propagate at different velocities, causing the pulse to spread and distort during transmission through the fiber. It is an inherent characteristic of optical fibers that can impact the quality and integrity of optical signals. Optical dispersion arises due to the interaction between the material properties of the fiber and the various optical wavelengths used for signal transmission. Optical Fiber Dispersion is denoted by D_opt symbol.

How to evaluate Optical Dispersion using this online evaluator? To use this online evaluator for Optical Dispersion, enter Propagation Constant (β) & Wavelength of Light (λ) and hit the calculate button.

FAQs on Optical Dispersion

What is the formula to find Optical Dispersion?

The formula of Optical Dispersion is expressed as Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2. Here is an example- 3E+6 = (2*pi*[c]*3.8E-15)/1.55E-06^2.

How to calculate Optical Dispersion?

With Propagation Constant (β) & Wavelength of Light (λ) we can find Optical Dispersion using the formula - Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2. This formula also uses Light speed in vacuum, Archimedes' constant .

Can the Optical Dispersion be negative?

Yes, the Optical Dispersion, measured in Presity can be negative.

Which unit is used to measure Optical Dispersion?

Optical Dispersion is usually measured using the Square Second per Meter[s²/m] for Presity. are the few other units in which Optical Dispersion can be measured.

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