Optical Path Difference given Fringe Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength
Δ = (RI-1)*t*β/λ
This formula uses 5 Variables
Variables Used
Optical Path Difference - Optical Path Difference is the product of the geometric length of the path followed by light through a given system, and the refractive index of the medium through which it propagates.
Refractive Index - The refractive index of a medium is defined as how the light travels through that medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other.
Thickness - (Measured in Meter) - Thickness is the distance through an object.
Fringe Width - (Measured in Meter) - Fringe Width is the distance between two maxima of successive order on one side of the central maxima.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.
STEP 1: Convert Input(s) to Base Unit
Refractive Index: 1.333 --> No Conversion Required
Thickness: 12 Centimeter --> 0.12 Meter (Check conversion here)
Fringe Width: 16.6 Centimeter --> 0.166 Meter (Check conversion here)
Wavelength: 26.8 Centimeter --> 0.268 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δ = (RI-1)*t*β/λ --> (1.333-1)*0.12*0.166/0.268
Evaluating ... ...
Δ = 0.0247513432835821
STEP 3: Convert Result to Output's Unit
0.0247513432835821 --> No Conversion Required
FINAL ANSWER
0.0247513432835821 0.024751 <-- Optical Path Difference
(Calculation completed in 00.004 seconds)

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2 Optical Path Difference Calculators

Optical Path Difference
Go Optical Path Difference = (Refractive Index-1)*Distance between Slits and Screen/Distance between Two Coherent Sources
Optical Path Difference given Fringe Width
Go Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength

Optical Path Difference given Fringe Width Formula

Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength
Δ = (RI-1)*t*β/λ

What is optical path difference ?

In the thin glass slab of thickness t and refractive index μ, and the optical path of the ray increases by t( μ -1 ) where t is the thickness of the slab. So path difference between waves coming from two coherent sources at any point P is Δ = (μ - 1 ) D/d = ( μ -1 )t β / λ.

How to Calculate Optical Path Difference given Fringe Width?

Optical Path Difference given Fringe Width calculator uses Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength to calculate the Optical Path Difference, Optical Path difference given Fringe Width is the product of the geometric length of the path followed by light through a given system, and the refractive index of the medium through which it propagates. Optical Path Difference is denoted by Δ symbol.

How to calculate Optical Path Difference given Fringe Width using this online calculator? To use this online calculator for Optical Path Difference given Fringe Width, enter Refractive Index (RI), Thickness (t), Fringe Width (β) & Wavelength (λ) and hit the calculate button. Here is how the Optical Path Difference given Fringe Width calculation can be explained with given input values -> 0.024751 = (1.333-1)*0.12*0.166/0.268.

FAQ

What is Optical Path Difference given Fringe Width?
Optical Path difference given Fringe Width is the product of the geometric length of the path followed by light through a given system, and the refractive index of the medium through which it propagates and is represented as Δ = (RI-1)*t*β/λ or Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength. The refractive index of a medium is defined as how the light travels through that medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other, Thickness is the distance through an object, Fringe Width is the distance between two maxima of successive order on one side of the central maxima & Wavelength can be defined as the distance between two successive crests or troughs of a wave.
How to calculate Optical Path Difference given Fringe Width?
Optical Path difference given Fringe Width is the product of the geometric length of the path followed by light through a given system, and the refractive index of the medium through which it propagates is calculated using Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength. To calculate Optical Path Difference given Fringe Width, you need Refractive Index (RI), Thickness (t), Fringe Width (β) & Wavelength (λ). With our tool, you need to enter the respective value for Refractive Index, Thickness, Fringe Width & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Optical Path Difference?
In this formula, Optical Path Difference uses Refractive Index, Thickness, Fringe Width & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Optical Path Difference = (Refractive Index-1)*Distance between Slits and Screen/Distance between Two Coherent Sources
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