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Refraction Index

Refraction index, also called refractive index, a dimensionless number, of a material that describes how much the speed of light is reduced when it travels through that material compared with its speed in a vacuum. It also describes how much light bends, or changes direction, when it passes from one medium into another.

Refraction Index Formula

\( n \;=\;  \dfrac{ c }{ v }\)     (Refraction Index)

\( c  \;=\;  n \cdot v \)

\( v \;=\;  \dfrac{ c }{ n }\)

Symbol English Metric
\( n \) = Refraction Index \(dimensionless\) \(dimensionless\)
\( c \) = Speed of Light \(ft\;/\;sec\) \(m\;/\;s\)
\( v \) = Phase Velocity in a Specific Volume \(ft\;/\;sec\) \(m\;/\;s\)

Because the speed of light in any transparent material is less than its speed in a vacuum, the refractive index of most materials is greater than 1.  A vacuum has a refractive index of exactly 1.  Air at standard conditions has a refractive index very close to 1.0003, water has a refractive index of approximately 1.333, and common glass typically has a refractive index between about 1.5 and 1.9, depending on its composition.

The refractive index determines how light changes direction when it crosses a boundary between two materials.  This bending of light is called refraction. When light travels from a material with a lower refractive index into a material with a higher refractive index, it bends toward the normal line (an imaginary line perpendicular to the surface).  When it travels from a higher refractive index material into a lower refractive index material, it bends away from the normal line.

Refractive Index Interpretation

Low Refractive Index (n < 1)  -  When light moves from a material with a higher refractive index to one with a lower refractive index (e.g., from water to air), it speeds up and bends away from the normal.
High Refractive Index (n > 1)  -  When light moves from a material with a lower refractive index (e.g., air, ) to a material with a higher refractive index (e.g., glass, ), it slows down and bends towards the normal (an imaginary line perpendicular to the surface at the point of incidence).  The larger the refractive index, the more the light bends.

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