Index of Refraction Calculator

✖Refractive Index of Medium 2 refers to the measure of how much a light ray is bent when it travels from medium 1 to medium 2, indicating the optical density of medium 2.ⓘ Refractive Index of Medium 2 [n₂]			+10% -10%
✖Refracted angle refers to the change in direction or bending of a light ray as it passes from one medium to another, due to the difference in the optical properties of the two media.ⓘ Refracted Angle [θ_r]			+10% -10%
✖The incident angle refers to the angle between the impact direction and the solid surface. For a vertical impact, this angle is 90 degrees.ⓘ Incident Angle [θ_i]			+10% -10%

✖Refractive Index of Medium 1 represents the ratio of the speed of light in a vacuum to the speed of light in medium 1. It quantifies the optical density of the medium.ⓘ Index of Refraction [n₁]

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Formula

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Index of Refraction

Formula

`"n"_{"1"} = ("n"_{"2"}*sin("θ"_{"r"}))/sin("θ"_{"i"})`

Example

`"1.133324"=("1.54"*sin("21.59°"))/sin("30°")`

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Index of Refraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle)
n₁ = (n₂*sin(θ_r))/sin(θ_i)
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Refractive Index of Medium 1 - Refractive Index of Medium 1 represents the ratio of the speed of light in a vacuum to the speed of light in medium 1. It quantifies the optical density of the medium.
Refractive Index of Medium 2 - Refractive Index of Medium 2 refers to the measure of how much a light ray is bent when it travels from medium 1 to medium 2, indicating the optical density of medium 2.
Refracted Angle - (Measured in Radian) - Refracted angle refers to the change in direction or bending of a light ray as it passes from one medium to another, due to the difference in the optical properties of the two media.
Incident Angle - (Measured in Radian) - The incident angle refers to the angle between the impact direction and the solid surface. For a vertical impact, this angle is 90 degrees.

STEP 1: Convert Input(s) to Base Unit

Refractive Index of Medium 2: 1.54 --> No Conversion Required
Refracted Angle: 21.59 Degree --> 0.376816585505505 Radian (Check conversion here)
Incident Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n₁ = (n₂*sin(θ_r))/sin(θ_i) --> (1.54*sin(0.376816585505505))/sin(0.5235987755982)

Evaluating ... ...

n₁ = 1.13332379304364

STEP 3: Convert Result to Output's Unit

1.13332379304364 --> No Conversion Required

FINAL ANSWER

1.13332379304364 ≈ 1.133324 <-- Refractive Index of Medium 1

(Calculation completed in 00.004 seconds)

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Created by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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< 15 Illumination Parameters Calculators

Number of Lamps Required for Illumination

Go Number of Lamp = (Illumination Intensity*Area of Illumination)/(Luminous Flux*Utilization Factor*Maintenance Factor)

Index of Refraction

Go Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle)

Luminance

Go Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle))

Luminous Flux

Go Luminous Flux = (Area of Illumination*Luminous Intensity)/(Length of Illumination^2)

Reduction Factor

Go Reduction Factor = Mean Spherical Candle Power/Mean Horizontal Candle Power

Mean Horizontal Candle Power

Go Mean Horizontal Candle Power = Sum of Candle Power/Number of Lamp

Solid Angle

Go Solid Angle = Area of Illumination/(Radius of Illumination^2)

Maintenance Factor

Go Maintenance Factor = Final Illumination/Initial Illumination

Illumination

Go Illumination Intensity = Luminous Flux/Area of Illumination

Mean Hemi-Spherical Candle Power

Go Mean Hemi Spherical Candle Power = Luminous Flux/(2*pi)

Mean Spherical Candle Power

Go Mean Spherical Candle Power = Luminous Flux/(4*pi)

Lamp Efficiency

Go Lamp Efficiency = Luminous Flux/Input Power

Candle Power

Go Candle Power = Luminous Flux/Solid Angle

Lumens

Go Lumen = Candle Power*Solid Angle

Depreciation Factor

Go Depreciation Factor = 1/Maintenance Factor

Index of Refraction Formula

Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle)
n₁ = (n₂*sin(θ_r))/sin(θ_i)

What is refractive index in Snell's law?

s i n i s i n r = c o n s t a n t = μ Where i is the angle of incidence and r is the angle of refraction. This constant value is called the refractive index of the second medium with respect to the first. The following is a diagrammatic representation: Snell's law formula is derived from Fermat's principle.

How to Calculate Index of Refraction?

Index of Refraction calculator uses Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle) to calculate the Refractive Index of Medium 1, The Index of Refraction formula is defined as the index of refraction, n, is the ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c': One consequence of this difference in speed is that when light goes from one medium to another at an angle, the propagation vector in the new medium has a different angle with respect to the normal. Refractive Index of Medium 1 is denoted by n₁ symbol.

How to calculate Index of Refraction using this online calculator? To use this online calculator for Index of Refraction, enter Refractive Index of Medium 2 (n₂), Refracted Angle (θ_r) & Incident Angle (θ_i) and hit the calculate button. Here is how the Index of Refraction calculation can be explained with given input values -> 1.013357 = (1.54*sin(0.376816585505505))/sin(0.5235987755982).

FAQ

What is Index of Refraction?

The Index of Refraction formula is defined as the index of refraction, n, is the ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c': One consequence of this difference in speed is that when light goes from one medium to another at an angle, the propagation vector in the new medium has a different angle with respect to the normal and is represented as n₁ = (n₂*sin(θ_r))/sin(θ_i) or Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle). Refractive Index of Medium 2 refers to the measure of how much a light ray is bent when it travels from medium 1 to medium 2, indicating the optical density of medium 2, Refracted angle refers to the change in direction or bending of a light ray as it passes from one medium to another, due to the difference in the optical properties of the two media & The incident angle refers to the angle between the impact direction and the solid surface. For a vertical impact, this angle is 90 degrees.

How to calculate Index of Refraction?

The Index of Refraction formula is defined as the index of refraction, n, is the ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c': One consequence of this difference in speed is that when light goes from one medium to another at an angle, the propagation vector in the new medium has a different angle with respect to the normal is calculated using Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle). To calculate Index of Refraction, you need Refractive Index of Medium 2 (n₂), Refracted Angle (θ_r) & Incident Angle (θ_i). With our tool, you need to enter the respective value for Refractive Index of Medium 2, Refracted Angle & Incident Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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