Coherence Length of Wave Calculator

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✖Wavelength of Wave is the distance between two consecutive compressions or two consecutive rarefactions of a wave.ⓘ Wavelength of Wave [λ_wave]			+10% -10%
✖Range of Wavelengths is the difference in wavelengths between the shortest and longest waves emitted.ⓘ Range of Wavelengths [Δλ]			+10% -10%

✖Coherence Length is the distance over which the waves remain coherent and is related to the range of wavelengths present in the beam.ⓘ Coherence Length of Wave [l_C]

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Formula

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Coherence Length of Wave

Formula

`"l"_{"C"} = ("λ"_{"wave"})^2/(2*"Δλ")`

Example

`"4.08375m"=("9.9m")^2/(2*"12m")`

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Coherence Length of Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coherence Length = (Wavelength of Wave)^2/(2*Range of Wavelengths)
l_C = (λ_wave)^2/(2*Δλ)
This formula uses 3 Variables

Variables Used

Coherence Length - (Measured in Meter) - Coherence Length is the distance over which the waves remain coherent and is related to the range of wavelengths present in the beam.
Wavelength of Wave - (Measured in Meter) - Wavelength of Wave is the distance between two consecutive compressions or two consecutive rarefactions of a wave.
Range of Wavelengths - (Measured in Meter) - Range of Wavelengths is the difference in wavelengths between the shortest and longest waves emitted.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Wave: 9.9 Meter --> 9.9 Meter No Conversion Required
Range of Wavelengths: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_C = (λ_wave)^2/(2*Δλ) --> (9.9)^2/(2*12)

Evaluating ... ...

l_C = 4.08375

STEP 3: Convert Result to Output's Unit

4.08375 Meter --> No Conversion Required

FINAL ANSWER

4.08375 Meter <-- Coherence Length

(Calculation completed in 00.004 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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Coherence Length of Wave Formula

Coherence Length = (Wavelength of Wave)^2/(2*Range of Wavelengths)
l_C = (λ_wave)^2/(2*Δλ)

What is Laser Action?

Laser action arises from round-trip, coherent amplification of light brought about by optical feedback due to reflection at the end mirrors, initiated by emission coupled into the mode specified by the spontaneous emission factor. Due to stimulated emission, the photons multiply in each step-giving rise to an intense beam of photons that are coherent and moving in the same direction. Hence the light is amplified by the Stimulated Emission of the Radiation.

How to Calculate Coherence Length of Wave?

Coherence Length of Wave calculator uses Coherence Length = (Wavelength of Wave)^2/(2*Range of Wavelengths) to calculate the Coherence Length, The Coherence Length of Wave formula is the propagation distance over which a coherent wave (e.g. an electromagnetic wave) maintains a specified degree of coherence. Coherence Length is denoted by l_C symbol.

How to calculate Coherence Length of Wave using this online calculator? To use this online calculator for Coherence Length of Wave, enter Wavelength of Wave (λ_wave) & Range of Wavelengths (Δλ) and hit the calculate button. Here is how the Coherence Length of Wave calculation can be explained with given input values -> 4.08375 = (9.9)^2/(2*12).

FAQ

What is Coherence Length of Wave?

The Coherence Length of Wave formula is the propagation distance over which a coherent wave (e.g. an electromagnetic wave) maintains a specified degree of coherence and is represented as l_C = (λ_wave)^2/(2*Δλ) or Coherence Length = (Wavelength of Wave)^2/(2*Range of Wavelengths). Wavelength of Wave is the distance between two consecutive compressions or two consecutive rarefactions of a wave & Range of Wavelengths is the difference in wavelengths between the shortest and longest waves emitted.

How to calculate Coherence Length of Wave?

The Coherence Length of Wave formula is the propagation distance over which a coherent wave (e.g. an electromagnetic wave) maintains a specified degree of coherence is calculated using Coherence Length = (Wavelength of Wave)^2/(2*Range of Wavelengths). To calculate Coherence Length of Wave, you need Wavelength of Wave (λ_wave) & Range of Wavelengths (Δλ). With our tool, you need to enter the respective value for Wavelength of Wave & Range of Wavelengths 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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