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Variable Refractive Index of The GRIN Lens Formula

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Apparent Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum. Check FAQs

n r = n 1 \cdot (1 - \frac{A con \cdot {R lens}^{2}}{2})

n_r - Apparent Refractive Index?n₁ - Refractive Index of Medium 1?A_con - Positive Constant?R_lens - Radius of Lens?

Variable Refractive Index of The GRIN Lens Example

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Here is how the Variable Refractive Index of The GRIN Lens equation looks like with Values.

Here is how the Variable Refractive Index of The GRIN Lens equation looks like with Units.

Here is how the Variable Refractive Index of The GRIN Lens equation looks like.

1.4531 = 1.5 \cdot (1 - \frac{10000 \cdot {0.0025}^{2}}{2})

1.4531 = 1.5 \cdot (1 - \frac{10000 \cdot {0.0025m}^{2}}{2})

1.4531 = 1.5 \cdot (1 - \frac{10000 \cdot {0.0025}^{2}}{2})

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Variable Refractive Index of The GRIN Lens Solution

Follow our step by step solution on how to calculate Variable Refractive Index of The GRIN Lens?

FIRST Step Consider the formula

n r = n 1 \cdot (1 - \frac{A con \cdot {R lens}^{2}}{2})

Next Step Substitute values of Variables

∴

n r = 1.5 \cdot (1 - \frac{10000 \cdot {0.0025m}^{2}}{2})

Next Step Prepare to Evaluate

∴

n r = 1.5 \cdot (1 - \frac{10000 \cdot {0.0025}^{2}}{2})

Next Step Evaluate

∴

n r = 1.453125

LAST Step Rounding Answer

∴

n r = 1.4531

Variable Refractive Index of The GRIN Lens Formula Elements

Variables

Apparent Refractive Index

Apparent Refractive Index is a dimensionless quantity that describes how much light is slowed down or refracted when entering a medium compared to its speed in a vacuum.

Symbol: n_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Apparent Refractive Index

Refractive Index of Medium 1

Refractive Index of Medium 1 is the ratio of speed of light in vacuum to speed of light in medium 1.

Symbol: n₁

Measurement: NAUnit: Unitless

Note: Value should be between 1 to 3.

Formulas to find Refractive Index of Medium 1

Positive Constant

Positive Constant is a number greater than zero that does not change with time.

Symbol: A_con

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Positive Constant

Radius of Lens

Radius of Lens is defined as the distance between the centre of curvature of the lens and the edge of the lens.

Symbol: R_lens

Measurement: LengthUnit: m

Note: Value should be less than 8.

Formulas to find Radius of Lens

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How to Evaluate Variable Refractive Index of The GRIN Lens?

Variable Refractive Index of The GRIN Lens evaluator uses Apparent Refractive Index = Refractive Index of Medium 1*(1-(Positive Constant*Radius of Lens^2)/2) to evaluate the Apparent Refractive Index, Variable Refractive Index of The GRIN Lens (Gradient Index) formula is defined as the refractive index of the cylindrical lens that varies with the radius of the lens. Here, RI is the refractive index on the lens axis, and A is a positive constant. Apparent Refractive Index is denoted by n_r symbol.

How to evaluate Variable Refractive Index of The GRIN Lens using this online evaluator? To use this online evaluator for Variable Refractive Index of The GRIN Lens, enter Refractive Index of Medium 1 (n₁), Positive Constant (A_con) & Radius of Lens (R_lens) and hit the calculate button.

FAQs on Variable Refractive Index of The GRIN Lens

What is the formula to find Variable Refractive Index of The GRIN Lens?

The formula of Variable Refractive Index of The GRIN Lens is expressed as Apparent Refractive Index = Refractive Index of Medium 1*(1-(Positive Constant*Radius of Lens^2)/2). Here is an example- 1.453125 = 1.5*(1-(10000*0.0025^2)/2).

How to calculate Variable Refractive Index of The GRIN Lens?

With Refractive Index of Medium 1 (n₁), Positive Constant (A_con) & Radius of Lens (R_lens) we can find Variable Refractive Index of The GRIN Lens using the formula - Apparent Refractive Index = Refractive Index of Medium 1*(1-(Positive Constant*Radius of Lens^2)/2).

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Variable Refractive Index of The GRIN Lens Formula

Variable Refractive Index of The GRIN Lens Example

Variable Refractive Index of The GRIN Lens Solution

Variable Refractive Index of The GRIN Lens Formula Elements

Other formulas in Lasers category

How to Evaluate Variable Refractive Index of The GRIN Lens?

FAQs on Variable Refractive Index of The GRIN Lens

Variable Name