Spark image
Curvature of a lens or wave

The radius of curvature (R) of a surface is taken as a positive number if it increases the curvature of the waves – i.e. converges the waves and negative if it decreases the curvature of the ways – i.e. diverges the waves.

A surface that converges a wavefront is taken a positive e.g. a convex lens
A surface that diverges a wavefront is taken as negative e.g. a concave lens


The curvature of the surface, or wave, is defined as 1/radius of that surface or wave. A surface with a small radius of curvature therefore has a large curvature and that with a large radius of curvature a small curvature.

The curvature of the surface, or wave = 1/radius of that surface or wave.
 
 
 
© Keith Gibbs 2011