Dispersion

Introduction

Refraction is slightly different for different colors of light. This variation of the refractive index with the wavelength or frequency of the light is called dispersion. Dispersion is a property of all transparent materials.

The color of green flashes is due to the dispersion of air, which makes atmospheric refraction slightly different for different parts of the spectrum. The dispersion of air, like that of water, glass, clear plastics, and most other materials, is small: the refractivity (n - 1) varies by about 1% across the visible spectrum.

Because dispersion is so small, it is negligible for many purposes. Only in special situations is the dispersion of air visible to the naked eye.

Examples

Here is the dispersion curve of air at standard conditions: Dispersion curve of air

The values plotted are taken from the formula of

    E. R. Peck and K. Reeder
    Dispersion of air
    JOSA 62, 958-962 (1972)
adjusted to STP (i.e., 0°C).

(See the page on refractivity of air for my reasons for using their formula.)


Similarly, here's the dispersion curve for a commonly used optical glass (Schott BK 7) similar to ordinary window glass: Dispersion curve of BK-7 glass

Notice that, apart from the scaling, these dispersion curves are much alike.

[The dispersion curves of most transparent media are so similar that Isaac Newton thought achromatic lenses were impossible — one of Newton's biggest mistakes, though it led him to invent the reflecting telescope.]

© 2002 – 2006, 2011, 2012 Andrew T. Young


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