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Optical Dispersion Calculator

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Fiber Modelling Parameters Fiber Design Characteristics

✖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.ⓘ Propagation Constant [β]			+10% -10%
✖Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.ⓘ Wavelength of Light [λ]			+10% -10%

✖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.ⓘ Optical Dispersion [D_opt]

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Optical Dispersion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2
D_opt = (2*pi*[c]*β)/λ^2
This formula uses 2 Constants, 3 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Optical Fiber Dispersion - (Measured in Square Second per Meter) - 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.
Propagation Constant - (Measured in Radian per Meter) - 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.
Wavelength of Light - (Measured in Meter) - Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

STEP 1: Convert Input(s) to Base Unit

Propagation Constant: 3.8E-15 Radian per Meter --> 3.8E-15 Radian per Meter No Conversion Required
Wavelength of Light: 1.55 Micrometer --> 1.55E-06 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_opt = (2*pi*[c]*β)/λ^2 --> (2*pi*[c]*3.8E-15)/1.55E-06^2

Evaluating ... ...

D_opt = 2979344.83070703

STEP 3: Convert Result to Output's Unit

2979344.83070703 Square Second per Meter --> No Conversion Required

FINAL ANSWER

2979344.83070703 ≈ 3E+6 Square Second per Meter <-- Optical Fiber Dispersion

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Fiber Modelling Parameters Calculators

Diameter of Fiber

LaTeX Go Diameter of Fiber = (Wavelength of Light*Number of Modes)/(pi*Numerical Aperture)

Power Loss in Fiber

LaTeX Go Power Loss Fiber = Input Power*exp(Attenuation Coefficient*Length of Fiber)

Fiber Attenuation Coefficient

LaTeX Go Attenuation Coefficient = Attenuation Loss/4.343

Number of Modes using Normalized Frequency

LaTeX Go Number of Modes = Normalized Frequency^2/2

Optical Dispersion Formula

LaTeX Go

Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2
D_opt = (2*pi*[c]*β)/λ^2

Why dispersion occurs in optical fiber?

Material dispersion is caused by a change in fiber optic material's refractive index with different wavelength. The higher the index, the slower the light travels. Waveguide dispersion is due to the distribution of light between core and cladding.

How to Calculate Optical Dispersion?

Optical Dispersion calculator uses Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2 to calculate 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 calculate Optical Dispersion using this online calculator? To use this online calculator for Optical Dispersion, enter Propagation Constant (β) & Wavelength of Light (λ) and hit the calculate button. Here is how the Optical Dispersion calculation can be explained with given input values -> 3E+6 = (2*pi*[c]*3.8E-15)/1.55E-06^2.

FAQ

What is Optical 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 and is represented as D_opt = (2*pi*[c]*β)/λ^2 or Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2. 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 & Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

How to calculate Optical 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 is calculated using Optical Fiber Dispersion = (2*pi*[c]*Propagation Constant)/Wavelength of Light^2. To calculate Optical Dispersion, you need Propagation Constant (β) & Wavelength of Light (λ). With our tool, you need to enter the respective value for Propagation Constant & Wavelength of Light 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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