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Mode Number Formula

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Mode Number indicates the number of half-wavelengths that fit into the given space. Check FAQs

m = \frac{2 \cdot L c \cdot n ri}{λ}

m - Mode Number?L_c - Length of Cavity?n_ri - Refractive Index?λ - Photon Wavelength?

Mode Number Example

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Here is how the Mode Number equation looks like with Values.

Here is how the Mode Number equation looks like with Units.

Here is how the Mode Number equation looks like.

4.0296 = \frac{2 \cdot 7.78 \cdot 1.01}{3.9}

4.0296 = \frac{2 \cdot 7.78m \cdot 1.01}{3.9m}

4.0296 = \frac{2 \cdot 7.78 \cdot 1.01}{3.9}

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Mode Number Solution

Follow our step by step solution on how to calculate Mode Number?

FIRST Step Consider the formula

m = \frac{2 \cdot L c \cdot n ri}{λ}

Next Step Substitute values of Variables

∴

m = \frac{2 \cdot 7.78m \cdot 1.01}{3.9m}

Next Step Prepare to Evaluate

∴

m = \frac{2 \cdot 7.78 \cdot 1.01}{3.9}

Next Step Evaluate

∴

m = 4.02964102564103

LAST Step Rounding Answer

∴

m = 4.0296

Mode Number Formula Elements

Variables

Mode Number

Mode Number indicates the number of half-wavelengths that fit into the given space.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mode Number

Length of Cavity

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

Symbol: L_c

Measurement: WavelengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Cavity

Refractive Index

Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.

Symbol: n_ri

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Refractive Index

Photon Wavelength

Photon Wavelength refers to the distance between consecutive peaks (or troughs) in the oscillating electric and magnetic fields of a photon's electromagnetic wave.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value should be greater than 0.

Formulas to find Photon Wavelength

Other formulas in Photonics Devices category

Go Optical Power Radiated

P opt = ε opto \cdot [Stefan-BoltZ] \cdot A s \cdot {T o}^{4}

Go Net Phase Shift

ΔΦ = \frac{π}{λ o} \cdot {(n ri)}^{3} \cdot r \cdot V cc

Go Length of Cavity

L c = \frac{λ \cdot m}{2}

Go Relative Population

n rel = \exp (- \frac{[hP] \cdot ν rel}{[BoltZ] \cdot T})

How to Evaluate Mode Number?

Mode Number evaluator uses Mode Number = (2*Length of Cavity*Refractive Index)/Photon Wavelength to evaluate the Mode Number, The Mode Number formula expresses the conditions for constructive interference in the double-slit pattern. Mode Number is denoted by m symbol.

How to evaluate Mode Number using this online evaluator? To use this online evaluator for Mode Number, enter Length of Cavity (L_c), Refractive Index (n_ri) & Photon Wavelength (λ) and hit the calculate button.

FAQs on Mode Number

What is the formula to find Mode Number?

The formula of Mode Number is expressed as Mode Number = (2*Length of Cavity*Refractive Index)/Photon Wavelength. Here is an example- 4.04 = (2*7.78*1.01)/3.9.

How to calculate Mode Number?

With Length of Cavity (L_c), Refractive Index (n_ri) & Photon Wavelength (λ) we can find Mode Number using the formula - Mode Number = (2*Length of Cavity*Refractive Index)/Photon Wavelength.

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Mode Number Formula

Mode Number Example

Mode Number Solution

Mode Number Formula Elements

Other formulas in Photonics Devices category

How to Evaluate Mode Number?

FAQs on Mode Number

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