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Index of Refraction Formula

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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. Check FAQs

n 1 = \frac{n 2 \cdot \sin (θ r)}{\sin (θ i)}

n₁ - Refractive Index of Medium 1?n₂ - Refractive Index of Medium 2?θ_r - Refracted Angle?θ_i - Incident Angle?

Index of Refraction Example

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Here is how the Index of Refraction equation looks like with Values.

Here is how the Index of Refraction equation looks like with Units.

Here is how the Index of Refraction equation looks like.

1.1333 = \frac{1.54 \cdot \sin (21.59)}{\sin (30)}

1.1333 = \frac{1.54 \cdot \sin (21.59°)}{\sin (30°)}

1.1333 = \frac{1.54 \cdot \sin (21.59)}{\sin (30)}

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Index of Refraction Solution

Follow our step by step solution on how to calculate Index of Refraction?

FIRST Step Consider the formula

n 1 = \frac{n 2 \cdot \sin (θ r)}{\sin (θ i)}

Next Step Substitute values of Variables

∴

n 1 = \frac{1.54 \cdot \sin (21.59°)}{\sin (30°)}

Next Step Convert Units

∴

n 1 = \frac{1.54 \cdot \sin (0.3768rad)}{\sin (0.5236rad)}

Next Step Prepare to Evaluate

∴

n 1 = \frac{1.54 \cdot \sin (0.3768)}{\sin (0.5236)}

Next Step Evaluate

∴

n 1 = 1.13332379304364

LAST Step Rounding Answer

∴

n 1 = 1.1333

Index of Refraction Formula Elements

Variables

Functions

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.

Symbol: n₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refractive Index of Medium 1

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.

Symbol: n₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refractive Index of Medium 2

Refracted Angle

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.

Symbol: θ_r

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Refracted Angle

Incident Angle

The incident angle refers to the angle between the impact direction and the solid surface. For a vertical impact, this angle is 90 degrees.

Symbol: θ_i

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Incident Angle

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.

Syntax: sin(Angle)

Other formulas in Illumination Parameters category

Go Solid Angle

ω = \frac{A}{r^{2}}

Go Reduction Factor

RF = \frac{M.S.C.P.}{M.H.C.P.}

Go Number of Lamps Required for Illumination

N Lamp = \frac{E v \cdot A}{F \cdot UF \cdot MF}

Go Mean Spherical Candle Power

M.S.C.P. = \frac{F}{4 \cdot π}

How to Evaluate Index of Refraction?

Index of Refraction evaluator uses Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle) to evaluate 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 evaluate Index of Refraction using this online evaluator? To use this online evaluator for Index of Refraction, enter Refractive Index of Medium 2 (n₂), Refracted Angle (θ_r) & Incident Angle (θ_i) and hit the calculate button.

FAQs on Index of Refraction

What is the formula to find Index of Refraction?

The formula of Index of Refraction is expressed as Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle). Here is an example- 1.013357 = (1.54*sin(0.376816585505505))/sin(0.5235987755982).

How to calculate Index of Refraction?

With Refractive Index of Medium 2 (n₂), Refracted Angle (θ_r) & Incident Angle (θ_i) we can find Index of Refraction using the formula - Refractive Index of Medium 1 = (Refractive Index of Medium 2*sin(Refracted Angle))/sin(Incident Angle). This formula also uses Sine (sin) function(s).

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Index of Refraction Formula

Index of Refraction Example

Index of Refraction Solution

Index of Refraction Formula Elements

Other formulas in Illumination Parameters category

How to Evaluate Index of Refraction?

FAQs on Index of Refraction

Variable Name