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Brillouin Shift Formula

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Brillouin shift is measurement of frequency shift of light due to its interaction with acoustic phonons or mechanical vibrations in a material. Check FAQs

ν b = \frac{2 \cdot n̄ \cdot v a}{λ p}

ν_b - Brillouin shift?n̄ - Mode Index?v_a - Acoustic Velocity?λ_p - Pump Wavelength?

Brillouin Shift Example

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With units

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Here is how the Brillouin Shift equation looks like with Values.

Here is how the Brillouin Shift equation looks like with Units.

Here is how the Brillouin Shift equation looks like.

6578.9474 = \frac{2 \cdot 0.02 \cdot 0.25}{1.52}

6578.9474Hz = \frac{2 \cdot 0.02 \cdot 0.25m/s}{1.52μm}

6578.9474 = \frac{2 \cdot 0.02 \cdot 0.25}{1.52}

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Brillouin Shift Solution

Follow our step by step solution on how to calculate Brillouin Shift?

FIRST Step Consider the formula

ν b = \frac{2 \cdot n̄ \cdot v a}{λ p}

Next Step Substitute values of Variables

∴

ν b = \frac{2 \cdot 0.02 \cdot 0.25m/s}{1.52μm}

Next Step Convert Units

∴

ν b = \frac{2 \cdot 0.02 \cdot 0.25m/s}{1.5E-6m}

Next Step Prepare to Evaluate

∴

ν b = \frac{2 \cdot 0.02 \cdot 0.25}{1.5E-6}

Next Step Evaluate

∴

ν b = 6578.94736842105Hz

LAST Step Rounding Answer

∴

ν b = 6578.9474Hz

Brillouin Shift Formula Elements

Variables

Brillouin shift

Brillouin shift is measurement of frequency shift of light due to its interaction with acoustic phonons or mechanical vibrations in a material.

Symbol: ν_b

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Brillouin shift

Mode Index

Mode Index quantifies how light propagates in a waveguide or fiber, particularly within specific optical modes.

Symbol: n̄

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mode Index

Acoustic Velocity

Acoustic Velocity represents the speed at which acoustic waves travel in a medium.

Symbol: v_a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Acoustic Velocity

Pump Wavelength

Pump Wavelength refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

Symbol: λ_p

Measurement: WavelengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Pump Wavelength

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 Brillouin Shift?

Brillouin Shift evaluator uses Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength to evaluate 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 evaluate Brillouin Shift using this online evaluator? To use this online evaluator for Brillouin Shift, enter Mode Index (n̄), Acoustic Velocity (v_a) & Pump Wavelength (λ_p) and hit the calculate button.

FAQs on Brillouin Shift

What is the formula to find Brillouin Shift?

The formula of Brillouin Shift is expressed as Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength. Here is an example- 6.6E-15 = (2*0.02*0.25)/1.52E-06.

How to calculate Brillouin Shift?

With Mode Index (n̄), Acoustic Velocity (v_a) & Pump Wavelength (λ_p) we can find Brillouin Shift using the formula - Brillouin shift = (2*Mode Index*Acoustic Velocity)/Pump Wavelength.

Can the Brillouin Shift be negative?

No, the Brillouin Shift, measured in Frequency cannot be negative.

Which unit is used to measure Brillouin Shift?

Brillouin Shift is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Brillouin Shift can be measured.

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Brillouin Shift Formula

Brillouin Shift Example

Brillouin Shift Solution

Brillouin Shift Formula Elements

Other formulas in Fiber Modelling Parameters category

How to Evaluate Brillouin Shift?

FAQs on Brillouin Shift

Variable Name