Brillouin Shift Calculator

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Fiber Modelling Parameters

Fiber Design Characteristics

✖Mode Index quantifies how light propagates in a waveguide or fiber, particularly within specific optical modes.ⓘ Mode Index [n̄]			+10% -10%
✖Acoustic Velocity represents the speed at which acoustic waves travel in a medium.ⓘ Acoustic Velocity [v_a]			+10% -10%
✖Pump Wavelength refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.ⓘ Pump Wavelength [λ_p]			+10% -10%

✖Brillouin shift is measurement of frequency shift of light due to its interaction with acoustic phonons or mechanical vibrations in a material.ⓘ Brillouin Shift [ν_b]

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Formula

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Brillouin Shift

Formula

`"ν"_{"b"} = (2*"n̄"*"v"_{"a"})/"λ"_{"p"}`

Example

`"6578.947Hz"=(2*"0.02"*"0.25m/s")/"1.52μm"`

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Brillouin Shift Solution

STEP 0: Pre-Calculation Summary

Formula Used

Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength
ν_b = (2*n̄*v_a)/λ_p
This formula uses 4 Variables

Variables Used

Brillouin shift - (Measured in Hertz) - Brillouin shift is measurement of frequency shift of light due to its interaction with acoustic phonons or mechanical vibrations in a material.
Mode Index - Mode Index quantifies how light propagates in a waveguide or fiber, particularly within specific optical modes.
Acoustic Velocity - (Measured in Meter per Second) - Acoustic Velocity represents the speed at which acoustic waves travel in a medium.
Pump Wavelength - (Measured in Meter) - Pump Wavelength 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

Mode Index: 0.02 --> No Conversion Required
Acoustic Velocity: 0.25 Meter per Second --> 0.25 Meter per Second No Conversion Required
Pump Wavelength: 1.52 Micrometer --> 1.52E-06 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ν_b = (2*n̄*v_a)/λ_p --> (2*0.02*0.25)/1.52E-06

Evaluating ... ...

ν_b = 6578.94736842105

STEP 3: Convert Result to Output's Unit

6578.94736842105 Hertz --> No Conversion Required

FINAL ANSWER

6578.94736842105 ≈ 6578.947 Hertz <-- Brillouin shift

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Optical Fiber Design » Fiber Modelling Parameters » Brillouin Shift

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

Brillouin Shift Formula

Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength
ν_b = (2*n̄*v_a)/λ_p

What is the significance of Brillouin Shift?

The Brillouin shift is a key concept in Brillouin scattering, which is used in various applications, including Brillouin spectroscopy and sensing, to study material properties, detect strains, and measure acoustic velocities in materials. The shift provides information about the mechanical properties and acoustic modes of the material.

How to Calculate Brillouin Shift?

Brillouin Shift calculator uses Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength to calculate the Brillouin shift, Brillouin Shift, also known as the Brillouin frequency shift, is a phenomenon in optics and acoustics that involves a frequency shift of light due to its interaction with acoustic phonons or mechanical vibrations in a material. Brillouin shift is denoted by ν_b symbol.

How to calculate Brillouin Shift using this online calculator? To use this online calculator for Brillouin Shift, enter Mode Index (n̄), Acoustic Velocity (v_a) & Pump Wavelength (λ_p) and hit the calculate button. Here is how the Brillouin Shift calculation can be explained with given input values -> 6.6E-15 = (2*0.02*0.25)/1.52E-06.

FAQ

What is Brillouin Shift?

Brillouin Shift, also known as the Brillouin frequency shift, is a phenomenon in optics and acoustics that involves a frequency shift of light due to its interaction with acoustic phonons or mechanical vibrations in a material and is represented as ν_b = (2*n̄*v_a)/λ_p or Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength. Mode Index quantifies how light propagates in a waveguide or fiber, particularly within specific optical modes, Acoustic Velocity represents the speed at which acoustic waves travel in a medium & Pump Wavelength refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

How to calculate Brillouin Shift?

Brillouin Shift, also known as the Brillouin frequency shift, is a phenomenon in optics and acoustics that involves a frequency shift of light due to its interaction with acoustic phonons or mechanical vibrations in a material is calculated using Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength. To calculate Brillouin Shift, you need Mode Index (n̄), Acoustic Velocity (v_a) & Pump Wavelength (λ_p). With our tool, you need to enter the respective value for Mode Index, Acoustic Velocity & Pump Wavelength 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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