Range of Wavelength Calculator

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Molecular Spectroscopy

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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%
✖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 [l_C]			+10% -10%

✖Range of Wavelengths is the difference in wavelengths between the shortest and longest waves emitted.ⓘ Range of Wavelength [Δλ]

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Formula

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Range of Wavelength

Formula

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

Example

`"12.2207m"=("9.9m")^2/(2*"4.01m")`

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Range of Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Range of Wavelengths - (Measured in Meter) - Range of Wavelengths is the difference in wavelengths between the shortest and longest waves emitted.
Wavelength of Wave - (Measured in Meter) - Wavelength of Wave is the distance between two consecutive compressions or two consecutive rarefactions of a wave.
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.

STEP 1: Convert Input(s) to Base Unit

Wavelength of Wave: 9.9 Meter --> 9.9 Meter No Conversion Required
Coherence Length: 4.01 Meter --> 4.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δλ = (λ_wave)^2/(2*l_C) --> (9.9)^2/(2*4.01)

Evaluating ... ...

Δλ = 12.2206982543641

STEP 3: Convert Result to Output's Unit

12.2206982543641 Meter --> No Conversion Required

FINAL ANSWER

12.2206982543641 ≈ 12.2207 Meter <-- Range of Wavelengths

(Calculation completed in 00.004 seconds)

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Range of Wavelength

Go Range of Wavelengths = (Wavelength of Wave)^2/(2*Coherence Length)

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Range of Wavelength Formula

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

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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 Range of Wavelength?

Range of Wavelength calculator uses Range of Wavelengths = (Wavelength of Wave)^2/(2*Coherence Length) to calculate the Range of Wavelengths, The Range of Wavelength formula is defined as the difference in wavelengths between the shortest and longest waves emitted. Range of Wavelengths is denoted by Δλ symbol.

How to calculate Range of Wavelength using this online calculator? To use this online calculator for Range of Wavelength, enter Wavelength of Wave (λ_wave) & Coherence Length (l_C) and hit the calculate button. Here is how the Range of Wavelength calculation can be explained with given input values -> 12.2207 = (9.9)^2/(2*4.01).

FAQ

What is Range of Wavelength?

The Range of Wavelength formula is defined as the difference in wavelengths between the shortest and longest waves emitted and is represented as Δλ = (λ_wave)^2/(2*l_C) or Range of Wavelengths = (Wavelength of Wave)^2/(2*Coherence Length). Wavelength of Wave is the distance between two consecutive compressions or two consecutive rarefactions of a wave & Coherence Length is the distance over which the waves remain coherent and is related to the range of wavelengths present in the beam.

How to calculate Range of Wavelength?

The Range of Wavelength formula is defined as the difference in wavelengths between the shortest and longest waves emitted is calculated using Range of Wavelengths = (Wavelength of Wave)^2/(2*Coherence Length). To calculate Range of Wavelength, you need Wavelength of Wave (λ_wave) & Coherence Length (l_C). With our tool, you need to enter the respective value for Wavelength of Wave & Coherence Length 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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