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Optical Path Difference given Fringe Width Formula

GoOptical Path Difference Formula

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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. Check FAQs

Δ = (RI - 1) \cdot t \cdot \frac{β}{λ}

Δ - Optical Path Difference?RI - Refractive Index?t - Thickness?β - Fringe Width?λ - Wavelength?

Optical Path Difference given Fringe Width Example

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Here is how the Optical Path Difference given Fringe Width equation looks like with Values.

Here is how the Optical Path Difference given Fringe Width equation looks like with Units.

Here is how the Optical Path Difference given Fringe Width equation looks like.

0.6346 = (1.333 - 1) \cdot 100 \cdot \frac{51.07}{26.8}

0.6346 = (1.333 - 1) \cdot 100cm \cdot \frac{51.07cm}{26.8cm}

0.6346 = (1.333 - 1) \cdot 100 \cdot \frac{51.07}{26.8}

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Optical Path Difference given Fringe Width Solution

Follow our step by step solution on how to calculate Optical Path Difference given Fringe Width?

FIRST Step Consider the formula

Δ = (RI - 1) \cdot t \cdot \frac{β}{λ}

Next Step Substitute values of Variables

∴

Δ = (1.333 - 1) \cdot 100cm \cdot \frac{51.07cm}{26.8cm}

Next Step Convert Units

∴

Δ = (1.333 - 1) \cdot 1m \cdot \frac{0.5107m}{0.268m}

Next Step Prepare to Evaluate

∴

Δ = (1.333 - 1) \cdot 1 \cdot \frac{0.5107}{0.268}

Next Step Evaluate

∴

Δ = 0.634563805970149

LAST Step Rounding Answer

∴

Δ = 0.6346

Optical Path Difference given Fringe Width Formula Elements

Variables

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.

Symbol: Δ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Optical Path Difference

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.

Symbol: RI

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refractive Index

Thickness

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.

Symbol: t

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Thickness

Fringe Width

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.

Symbol: β

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Fringe Width

Wavelength

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.

Symbol: λ

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Wavelength

Other Formulas to find Optical Path Difference

Go Optical Path Difference

Δ = (RI - 1) \cdot \frac{D}{d}

Other formulas in Thin Film Interference and Optical Path Difference category

Go Thin-Film Constructive Interference in Reflected Light

I c = (n + \frac{1}{2}) \cdot λ

Go Thin-Film Constructive Interference in Transmitted Light

I c = n \cdot λ

Go Thin-Film Destructive Interference in Reflected Light

I d = n \cdot λ

Go Thin-Film Destructive Interference in Transmitted Light

I d = (n + \frac{1}{2}) \cdot λ

How to Evaluate Optical Path Difference given Fringe Width?

Optical Path Difference given Fringe Width evaluator uses Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength to evaluate 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 evaluate Optical Path Difference given Fringe Width using this online evaluator? To use this online evaluator for Optical Path Difference given Fringe Width, enter Refractive Index (RI), Thickness (t), Fringe Width (β) & Wavelength (λ) and hit the calculate button.

FAQs on Optical Path Difference given Fringe Width

What is the formula to find Optical Path Difference given Fringe Width?

The formula of Optical Path Difference given Fringe Width is expressed as Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength. Here is an example- 0.634564 = (1.333-1)*1*0.5107/0.268.

How to calculate Optical Path Difference given Fringe Width?

With Refractive Index (RI), Thickness (t), Fringe Width (β) & Wavelength (λ) we can find Optical Path Difference given Fringe Width using the formula - Optical Path Difference = (Refractive Index-1)*Thickness*Fringe Width/Wavelength.

What are the other ways to Calculate Optical Path Difference?

Here are the different ways to Calculate Optical Path Difference-

Optical Path Difference=(Refractive Index-1)*Distance between Slits and Screen/Distance between Two Coherent Sources

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Optical Path Difference given Fringe Width Formula

​GoOptical Path Difference Formula

Optical Path Difference given Fringe Width Example

Optical Path Difference given Fringe Width Solution

Optical Path Difference given Fringe Width Formula Elements

Other Formulas to find Optical Path Difference

Other formulas in Thin Film Interference and Optical Path Difference category

How to Evaluate Optical Path Difference given Fringe Width?

FAQs on Optical Path Difference given Fringe Width

Variable Name

GoOptical Path Difference Formula