Optical Path Difference given Fringe Width Calculator

✖Refractive Index is a measure of how much a light beam is bent when it passes from one medium to another, describing the amount of refraction that occurs.ⓘ Refractive Index [RI]			+10% -10%
✖Thickness is the measure of the distance from one surface of a material or object to another, often used to describe the dimension of a lens or a waveguide in optics.ⓘ Thickness [t]			+10% -10%
✖Fringe Width is the distance between two consecutive bright or dark fringes in an interference pattern, typically measured from the center of a bright fringe to the center of the next bright fringe.ⓘ Fringe Width [β]			+10% -10%
✖Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity.ⓘ Wavelength [λ]			+10% -10%

✖Optical Path Difference is the difference in distance traveled by two light waves having the same frequency and initial phase, but taking different paths to reach the same point.ⓘ Optical Path Difference given Fringe Width [Δ]

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Optical Path Difference given Fringe Width

Formula

`"Δ" = ("RI"-1)*"t"*"β"/"λ"`

Example

`"0.634564"=("1.333"-1)*"100cm"*"51.07cm"/"26.8cm"`

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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 difference in distance traveled by two light waves having the same frequency and initial phase, but taking different paths to reach the same point.
Refractive Index - Refractive Index is a measure of how much a light beam is bent when it passes from one medium to another, describing the amount of refraction that occurs.
Thickness - (Measured in Meter) - Thickness is the measure of the distance from one surface of a material or object to another, often used to describe the dimension of a lens or a waveguide in optics.
Fringe Width - (Measured in Meter) - Fringe Width is the distance between two consecutive bright or dark fringes in an interference pattern, typically measured from the center of a bright fringe to the center of the next bright fringe.
Wavelength - (Measured in Meter) - Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity.

STEP 1: Convert Input(s) to Base Unit

Refractive Index: 1.333 --> No Conversion Required
Thickness: 100 Centimeter --> 1 Meter (Check conversion here)
Fringe Width: 51.07 Centimeter --> 0.5107 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)*1*0.5107/0.268

Evaluating ... ...

Δ = 0.634563805970149

STEP 3: Convert Result to Output's Unit

0.634563805970149 --> No Conversion Required

FINAL ANSWER

0.634563805970149 ≈ 0.634564 <-- Optical Path Difference

(Calculation completed in 00.004 seconds)

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< 7 Thin-Film Interference and 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 Activity

Go Optical Activity = Angle from Slit Center to Light Source/(Length*Concentration at x Distance)

Thin-Film Constructive Interference in Reflected Light

Go Constructive Interference = (Integer+1/2)*Wavelength

Thin-Film Destructive Interference in Transmitted Light

Go Destructive Interference = (Integer+1/2)*Wavelength

Thin-Film Constructive Interference in Transmitted Light

Go Constructive Interference = Integer*Wavelength

Thin-Film Destructive Interference in Reflected Light

Go Destructive Interference = Integer*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 Refractive Index?

The refractive index is a measure of how much a material slows down light compared to its speed in a vacuum. It is calculated as the ratio of the speed of light in a vacuum to the speed of light in the material. A higher refractive index indicates that light travels more slowly in the material.

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 formula is defined as a measure of the difference in optical path lengths between two beams of light that interfere to produce an interference pattern, characterized by a fringe width, and is influenced by the refractive index, thickness, and wavelength of the light. 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 -> 0.634564 = (1.333-1)*1*0.5107/0.268.

FAQ

What is Optical Path Difference given Fringe Width?

Optical Path Difference given Fringe Width formula is defined as a measure of the difference in optical path lengths between two beams of light that interfere to produce an interference pattern, characterized by a fringe width, and is influenced by the refractive index, thickness, and wavelength of the light and is represented as Δ = (RI-1)*t*β/λ or Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength. Refractive Index is a measure of how much a light beam is bent when it passes from one medium to another, describing the amount of refraction that occurs, Thickness is the measure of the distance from one surface of a material or object to another, often used to describe the dimension of a lens or a waveguide in optics, Fringe Width is the distance between two consecutive bright or dark fringes in an interference pattern, typically measured from the center of a bright fringe to the center of the next bright fringe & Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity.

How to calculate Optical Path Difference given Fringe Width?

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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