Length of Cavity Calculator

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Photonics Devices

Devices with Optical Components

Lasers

✖Photon Wavelength refers to the distance between consecutive peaks (or troughs) in the oscillating electric and magnetic fields of a photon's electromagnetic wave.ⓘ Photon Wavelength [λ]			+10% -10%
✖Mode Number indicates the number of half-wavelengths that fit into the given space.ⓘ Mode Number [m]			+10% -10%

✖Length of Cavity is a physical measure representing the distance between the two reflective surfaces (mirrors) of an optical cavity.ⓘ Length of Cavity [L_c]

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Formula

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Length of Cavity

Formula

`"L"_{"c"} = ("λ"*"m")/2`

Example

`"7.878m"=("3.9m"*"4.04")/2`

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Length of Cavity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cavity = (Photon Wavelength*Mode Number)/2
L_c = (λ*m)/2
This formula uses 3 Variables

Variables Used

Length of Cavity - (Measured in Meter) - Length of Cavity is a physical measure representing the distance between the two reflective surfaces (mirrors) of an optical cavity.
Photon Wavelength - (Measured in Meter) - Photon Wavelength refers to the distance between consecutive peaks (or troughs) in the oscillating electric and magnetic fields of a photon's electromagnetic wave.
Mode Number - Mode Number indicates the number of half-wavelengths that fit into the given space.

STEP 1: Convert Input(s) to Base Unit

Photon Wavelength: 3.9 Meter --> 3.9 Meter No Conversion Required
Mode Number: 4.04 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = (λ*m)/2 --> (3.9*4.04)/2

Evaluating ... ...

L_c = 7.878

STEP 3: Convert Result to Output's Unit

7.878 Meter --> No Conversion Required

FINAL ANSWER

7.878 Meter <-- Length of Cavity

(Calculation completed in 00.004 seconds)

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Credits

Created by Gowthaman N

Vellore Institute of Technology (VIT University), Chennai

Gowthaman N has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 13 Photonics Devices Calculators

Saturation Current Density

Go Saturation Current Density = [Charge-e]*((Diffusion Coefficient of Hole)/Diffusion Length of Hole*Hole Concentration in n-Region+(Electron Diffusion Coefficient)/Diffusion Length of Electron*Electron Concentration in p-Region)

Spectral Radiant Emittance

Go Spectral Radiant Emittance = (2*pi*[hP]*[c]^3)/Wavelength of Visible Light^5*1/(exp(([hP]*[c])/(Wavelength of Visible Light*[BoltZ]*Absolute Temperature))-1)

Contact Potential Difference

Go Voltage Across PN Junction = ([BoltZ]*Absolute Temperature)/[Charge-e]*ln((Acceptor Concentration*Donor Concentration)/(Intrinsic Carrier Concentration)^2)

Energy Density given Einstein Co-Efficients

Go Energy Density = (8*[hP]*Frequency of Radiation^3)/[c]^3*(1/(exp((Planck's Constant*Frequency of Radiation)/([BoltZ]*Temperature))-1))

Proton Concentration under Unbalanced Condition

Go Proton Concentration = Intrinsic Electron Concentration*exp((Intrinsic Energy Level of Semiconductor-Quasi Fermi Level of Electrons)/([BoltZ]*Absolute Temperature))

Total Current Density

Go Total Current Density = Saturation Current Density*(exp(([Charge-e]*Voltage Across PN Junction)/([BoltZ]*Absolute Temperature))-1)

Net Phase Shift

Go Net Phase Shift = pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage

Relative Population

Go Relative Population = exp(-([hP]*Relative Frequency)/([BoltZ]*Absolute Temperature))

Optical Power Radiated

Go Optical Power Radiated = Emissivity*[Stefan-BoltZ]*Area of Source*Temperature^4

Mode Number

Go Mode Number = (2*Length of Cavity*Refractive Index)/Photon Wavelength

Wavelength of Radiation in Vaccum

Go Wavelength of Wave = Apex Angle*(180/pi)*2*Single Pinhole

Wavelength of Output Light

Go Wavelength of Light = Refractive Index*Photon Wavelength

Length of Cavity

Go Length of Cavity = (Photon Wavelength*Mode Number)/2

Length of Cavity Formula

Length of Cavity = (Photon Wavelength*Mode Number)/2
L_c = (λ*m)/2

Why does the length of an optical cavity need to be a multiple of half the wavelength for resonance?

Resonance in an optical cavity occurs when a wave's reflections constructively interfere. The condition ensures that the reflected waves synchronize, reinforcing each other at specific wavelengths. This constructive interference, influenced by the mode number m, creates a stable standing wave pattern, allowing for enhanced optical effects like laser emission or cavity-enhanced spectroscopy.

How to Calculate Length of Cavity?

Length of Cavity calculator uses Length of Cavity = (Photon Wavelength*Mode Number)/2 to calculate the Length of Cavity, The Length of Cavity formula is a physical measure representing the distance between the two reflective surfaces (mirrors) of an optical cavity. Length of Cavity is denoted by L_c symbol.

How to calculate Length of Cavity using this online calculator? To use this online calculator for Length of Cavity, enter Photon Wavelength (λ) & Mode Number (m) and hit the calculate button. Here is how the Length of Cavity calculation can be explained with given input values -> 7.878 = (3.9*4.04)/2.

FAQ

What is Length of Cavity?

The Length of Cavity formula is a physical measure representing the distance between the two reflective surfaces (mirrors) of an optical cavity and is represented as L_c = (λ*m)/2 or Length of Cavity = (Photon Wavelength*Mode Number)/2. Photon Wavelength refers to the distance between consecutive peaks (or troughs) in the oscillating electric and magnetic fields of a photon's electromagnetic wave & Mode Number indicates the number of half-wavelengths that fit into the given space.

How to calculate Length of Cavity?

The Length of Cavity formula is a physical measure representing the distance between the two reflective surfaces (mirrors) of an optical cavity is calculated using Length of Cavity = (Photon Wavelength*Mode Number)/2. To calculate Length of Cavity, you need Photon Wavelength (λ) & Mode Number (m). With our tool, you need to enter the respective value for Photon Wavelength & Mode Number 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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