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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Formula

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Optical Dispersion

Formula

`"D"_{"opt"} = (2*pi*"[c]"*"β")/"λ"^2`

Example

`"3E^6s²/m"=(2*pi*"[c]"*"3.8e-15rad/m")/("1.55μm")^2`

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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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< 19 Fiber Modelling Parameters Calculators

Total Amplifier Gain for EDFA

Go Total Amplifier Gain for an EDFA = Confinement Factor*exp(int((Emission Cross Section*Population Density of Higher Energy Level-Absorption Cross Section*Population Density of Lower Energy Level)*x,x,0,Length of Fiber))

Photo Current Generated to Incident Optical Power

Go Photo Current Generated to Incident Optical Power = Photodetector Responsivity for Channel M*Power of Mth Channel+sum(x,1,Number of Channels,Photodetector Responsivity for Channel N*Filter Transmittivity for Channel N*Power in Nth Channel)

Phase Shift of Jth Channel

Go Phase Shift Jth Channel = Non Linear Parameter*Effective Interaction Length*(Power of Jth signal+2*sum(x,1,Range of Other Channels Except J,Power of Mth signal))

External Quantum Efficiency

Go External Quantum Efficiency = (1/(4*pi))*int(Fresnel Transmissivity*(2*pi*sin(x)),x,0,Cone of Acceptance Angle)

Effective Interaction Length

Go Effective Interaction Length = (1-exp(-(Attenuation Loss*Length of Fiber)))/Attenuation Loss

Non Linear Phase Shift

Go Non Linear Phase Shift = int(Non Linear Parameter*Optical Power,x,0,Length of Fiber)

Optical Dispersion

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

Diameter of Fiber

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

Number of Modes

Go Number of Modes = (2*pi*Radius of Core*Numerical Aperture)/Wavelength of Light

Power Loss in Fiber

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

Gaussian Pulse

Go Gaussian Pulse = Optical Pulse Duration/(Length of Fiber*Optical Fiber Dispersion)

Brillouin Shift

Go Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength

Modal Birefringence Degree

Go Modal Birefringence Degree = modulus(Mode Index X-Mode Index Y)

Rayleigh Scattering

Go Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4)

Beat Length

Go Beat Length = Wavelength of Light/Modal Birefringence Degree

Group Velocity

Go Group Velocity = Length of Fiber/Group Delay

Fiber Length

Go Length of Fiber = Group Velocity*Group Delay

Fiber Attenuation Coefficient

Go Attenuation Coefficient = Attenuation Loss/4.343

Number of Modes using Normalized Frequency

Go Number of Modes = Normalized Frequency^2/2

Optical Dispersion Formula

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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