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Aberrations

Chromatic Aberration

Spherical aberration, distortion, coma, and field curvature are purely a function of the shape of the lens surfaces and an be observed with monochromatic light. There are, however, other aberrations that arise when these optics are used to transform light containing multiple wavelengths.

The index of refraction of a material is a function of wavelength. Known as dispersion, this is discussed in the section on Material Properties. From Snell's law it can be seen that light rays of different wavelengths or colors will be refracted at different angles since the index is not a constant. The figure below shows the result when polychromatic collimated light is incident on a positive lens element. Because the index of refraction is higher for shorter wavelengths, these are focused closer to the lens than the longer wavelengths. Longitudinal chromatic aberration is defined as the axial distance from the nearest to the farthest focal point.

Chromatic aberration
Lognitudinal chromatic aberration

 
As in the case of spherical aberration, positive and negative elements have opposite signs of chromatic aberration. Once again, by combining elements of nearly opposite aberration to form a doublet, chromatic aberration can be partially corrected. It is necessary to use two glasses with different dispersion characteristics, so that the weaker negative element can balance the aberration of the stronger, positive element.

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