Length of Cavity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Cavity = (Photon Wavelength*Mode Number)/2
Lc = (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
Lc = (λ*m)/2 --> (3.9*4.04)/2
Evaluating ... ...
Lc = 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)

Credits

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Created by Gowthaman N
Vellore Institute of Technology (VIT University), Chennai
Gowthaman N has created this Calculator and 25+ more calculators!
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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​ LaTeX ​ Go Net Phase Shift = pi/Wavelength of Light*(Refractive Index)^3*Length of Fiber*Supply Voltage
Optical Power Radiated
​ LaTeX ​ Go Optical Power Radiated = Emissivity*[Stefan-BoltZ]*Area of Source*Temperature^4
Mode Number
​ LaTeX ​ Go Mode Number = (2*Length of Cavity*Refractive Index)/Photon Wavelength
Length of Cavity
​ LaTeX ​ Go Length of Cavity = (Photon Wavelength*Mode Number)/2

Length of Cavity Formula

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