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Optical path difference Solution

STEP 0: Pre-Calculation Summary
Formula Used
optical_path_difference = (Refractive Index-1)*Distance between slits and screen/Distance between two coherent sources
Δ = (RI-1)*D/d
This formula uses 3 Variables
Variables Used
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.
Distance between slits and screen - Distance between slits and screen or photodetector is the large distance at which the slits and screen in Young's double-slit experiment. (Measured in Centimeter)
Distance between two coherent sources - Distance between two coherent sources is the length at which both coherent sources are placed.Two sources that vibrate with a fixed phase difference between them are said to be coherent. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Refractive Index: 1.333 --> No Conversion Required
Distance between slits and screen: 20 Centimeter --> 0.2 Meter (Check conversion here)
Distance between two coherent sources: 10 Centimeter --> 0.1 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δ = (RI-1)*D/d --> (1.333-1)*0.2/0.1
Evaluating ... ...
Δ = 0.666
STEP 3: Convert Result to Output's Unit
0.666 --> No Conversion Required
FINAL ANSWER
0.666 <-- Optical path difference
(Calculation completed in 00.016 seconds)

2 Optical path difference Calculators

Optical path difference
optical_path_difference = (Refractive Index-1)*Distance between slits and screen/Distance between two coherent sources Go
Optical path difference in terms of fringe width
optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength Go

Optical path difference Formula

optical_path_difference = (Refractive Index-1)*Distance between slits and screen/Distance between two coherent sources
Δ = (RI-1)*D/d

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?

Optical path difference calculator uses optical_path_difference = (Refractive Index-1)*Distance between slits and screen/Distance between two coherent sources to calculate the Optical path difference, Optical path difference or optical distance 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 and is denoted by Δ symbol.

How to calculate Optical path difference using this online calculator? To use this online calculator for Optical path difference, enter Refractive Index (RI), Distance between slits and screen (D) & Distance between two coherent sources (d) and hit the calculate button. Here is how the Optical path difference calculation can be explained with given input values -> 0.666 = (1.333-1)*0.2/0.1.

FAQ

What is Optical path difference?
Optical path difference or optical distance 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)*D/d or optical_path_difference = (Refractive Index-1)*Distance between slits and screen/Distance between two coherent sources. 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, Distance between slits and screen or photodetector is the large distance at which the slits and screen in Young's double-slit experiment & Distance between two coherent sources is the length at which both coherent sources are placed.Two sources that vibrate with a fixed phase difference between them are said to be coherent.
How to calculate Optical path difference?
Optical path difference or optical distance 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)*Distance between slits and screen/Distance between two coherent sources. To calculate Optical path difference, you need Refractive Index (RI), Distance between slits and screen (D) & Distance between two coherent sources (d). With our tool, you need to enter the respective value for Refractive Index, Distance between slits and screen & Distance between two coherent sources 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, Distance between slits and screen & Distance between two coherent sources. We can use 2 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
  • optical_path_difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength
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