Calculate index of refraction with n = c/v from the speed of light in a medium, find v = c/n, or solve Snell’s law for an angle of refraction or index.

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Index of Refraction Formula

The formula for calculating a refractive index from wave speed is as follows:

n = c / v
  • Where n is the index of refraction
  • c is the speed of light in a vacuum = 299,792.458 km/s (299,792,458 m/s)
  • v is the speed of light in a given medium

To calculate an index of refraction, divide the speed of light in a vacuum by the speed of light in the medium.

Index of Refraction Definition

An index of refraction is the ratio of the speed of light through a vacuum with respect to the speed of light through some other medium, such as water.

How to calculate index of refraction?

How to calculate index of refraction?

  1. First, determine the speed of light in a vacuum.

    The speed of light in a vacuum is known to be 299,792.458 km/s (299,792,458 m/s).

  2. Next, measure the speed of light in the medium.

    For example, the speed of light through water is about 225,000 km/s (for n ≈ 1.33).

  3. Finally, calculate the index of refraction.

    Using the formula above and values from steps 1 and 2, calculate the index of refraction.

FAQ

What is an index of refraction?

An index of refraction is the ratio of the speed of light through a vacuum with respect to the speed of light through some other medium, such as water.