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Optical Path Difference Formula

GoOptical Path Difference given Fringe Width 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 \frac{D}{d}

Δ - Optical Path Difference?RI - Refractive Index?D - Distance between Slits and Screen?d - Distance between Two Coherent Sources?

Optical Path Difference Example

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With units

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

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

Here is how the Optical Path Difference equation looks like.

0.6346 = (1.333 - 1) \cdot \frac{20.2}{10.6}

0.6346 = (1.333 - 1) \cdot \frac{20.2cm}{10.6cm}

0.6346 = (1.333 - 1) \cdot \frac{20.2}{10.6}

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Optical Path Difference Solution

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

FIRST Step Consider the formula

Δ = (RI - 1) \cdot \frac{D}{d}

Next Step Substitute values of Variables

∴

Δ = (1.333 - 1) \cdot \frac{20.2cm}{10.6cm}

Next Step Convert Units

∴

Δ = (1.333 - 1) \cdot \frac{0.202m}{0.106m}

Next Step Prepare to Evaluate

∴

Δ = (1.333 - 1) \cdot \frac{0.202}{0.106}

Next Step Evaluate

∴

Δ = 0.634584905660377

LAST Step Rounding Answer

∴

Δ = 0.6346

Optical Path Difference 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

Distance between Slits and Screen

Distance between Slits and Screen is the distance between the slits and the screen in a Young's double-slit experiment, used to measure the interference pattern of light waves.

Symbol: D

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Distance between Slits and Screen

Distance between Two Coherent Sources

Distance between Two Coherent Sources is the distance between two sources that emit waves in phase with each other, resulting in an interference pattern.

Symbol: d

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Distance between Two Coherent Sources

Other Formulas to find Optical Path Difference

Go Optical Path Difference given Fringe Width

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

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?

Optical Path Difference evaluator uses Optical Path Difference = (Refractive Index-1)*Distance between Slits and Screen/Distance between Two Coherent Sources to evaluate the Optical Path Difference, Optical Path Difference formula is defined as a measure of the difference in optical path lengths between two light beams, typically used in interferometry to analyze the properties of light waves and their interactions with matter. Optical Path Difference is denoted by Δ symbol.

How to evaluate Optical Path Difference using this online evaluator? To use this online evaluator 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.

FAQs on Optical Path Difference

What is the formula to find Optical Path Difference?

The formula of Optical Path Difference is expressed as Optical Path Difference = (Refractive Index-1)*Distance between Slits and Screen/Distance between Two Coherent Sources. Here is an example- 0.634585 = (1.333-1)*0.202/0.106.

How to calculate Optical Path Difference?

With Refractive Index (RI), Distance between Slits and Screen (D) & Distance between Two Coherent Sources (d) we can find Optical Path Difference using the formula - Optical Path Difference = (Refractive Index-1)*Distance between Slits and Screen/Distance between Two Coherent Sources.

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)*Thickness*Fringe Width/Wavelength

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: Unit

Optical Path Difference Formula

​GoOptical Path Difference given Fringe Width Formula

Optical Path Difference Example

Optical Path Difference Solution

Optical Path Difference 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?

FAQs on Optical Path Difference

Variable Name

GoOptical Path Difference given Fringe Width Formula