Rayleigh Scattering Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖Fiber Constant depends the constituents of the fiber core and can vary from 0.7-0.9 .ⓘ Fiber Constant [C]			+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%

✖Rayleigh Scatteringis a phenomenon in optics that describes the scattering of light or other electromagnetic waves by particles or objects much smaller than the wavelength of the light.ⓘ Rayleigh Scattering [α_R]

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Formula

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Rayleigh Scattering

Formula

`"α"_{"R"} = "C"/("λ"^4)`

Example

`"0.121275dB/m"="0.7e-24"/(("1.55μm")^4)`

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Rayleigh Scattering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4)
α_R = C/(λ^4)
This formula uses 3 Variables

Variables Used

Rayleigh Scattering - (Measured in Decibel per Meter) - Rayleigh Scatteringis a phenomenon in optics that describes the scattering of light or other electromagnetic waves by particles or objects much smaller than the wavelength of the light.
Fiber Constant - Fiber Constant depends the constituents of the fiber core and can vary from 0.7-0.9 .
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

Fiber Constant: 7E-25 --> 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

α_R = C/(λ^4) --> 7E-25/(1.55E-06^4)

Evaluating ... ...

α_R = 0.121274989956915

STEP 3: Convert Result to Output's Unit

0.121274989956915 Decibel per Meter --> No Conversion Required

FINAL ANSWER

0.121274989956915 ≈ 0.121275 Decibel per Meter <-- Rayleigh Scattering

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Optical Fiber Design » Fiber Modelling Parameters » Rayleigh Scattering

Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 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

Rayleigh Scattering Formula

Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4)
α_R = C/(λ^4)

What is the significance of Rayleigh Scattering?

Its significance lies in understanding the colour of the sky, the changing colours of the Sun, and its applications in various fields, including meteorology and astronomy. It is most effective with small particles or molecules and is responsible for the beautiful and scientifically significant optical phenomena we observe in the natural world.

How to Calculate Rayleigh Scattering?

Rayleigh Scattering calculator uses Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4) to calculate the Rayleigh Scattering, Rayleigh scattering is a phenomenon in optics that describes the scattering of light or other electromagnetic waves by particles or objects much smaller than the wavelength of the light. Rayleigh scattering is responsible for the blue colour of the sky during the day and the reddish hues of sunrise and sunset, among other optical effects. Rayleigh Scattering is denoted by α_R symbol.

How to calculate Rayleigh Scattering using this online calculator? To use this online calculator for Rayleigh Scattering, enter Fiber Constant (C) & Wavelength of Light (λ) and hit the calculate button. Here is how the Rayleigh Scattering calculation can be explained with given input values -> 1.2E+29 = 7E-25/(1.55E-06^4).

FAQ

What is Rayleigh Scattering?

Rayleigh scattering is a phenomenon in optics that describes the scattering of light or other electromagnetic waves by particles or objects much smaller than the wavelength of the light. Rayleigh scattering is responsible for the blue colour of the sky during the day and the reddish hues of sunrise and sunset, among other optical effects and is represented as α_R = C/(λ^4) or Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4). Fiber Constant depends the constituents of the fiber core and can vary from 0.7-0.9 & Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

How to calculate Rayleigh Scattering?

Rayleigh scattering is a phenomenon in optics that describes the scattering of light or other electromagnetic waves by particles or objects much smaller than the wavelength of the light. Rayleigh scattering is responsible for the blue colour of the sky during the day and the reddish hues of sunrise and sunset, among other optical effects is calculated using Rayleigh Scattering = Fiber Constant/(Wavelength of Light^4). To calculate Rayleigh Scattering, you need Fiber Constant (C) & Wavelength of Light (λ). With our tool, you need to enter the respective value for Fiber 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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