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Local dioptric power matrix and prismatic effects of spherical, aspherical, and spherotorical ophthalmic lenses

We have computed the prismatic effects presented by several kinds of ophthalmic lenses: spherical, aspherical and spherotorical ones by means of the generalized expression of the Prentice's law. This expression use the local dioptric power matrix formalism (developed by us in previous works) in order to compute the prismatic deviation of the light rays along the surface of an ophthalmic lens made by arbitrary refracting surfaces with an acceptable degree of accuracy. This formalism allows the computation of prismatic powers without employing numerical ray tracing. We have compare the calculated prismatic effects with those obtained by means of numerical ray tracing finding a good agreement between them.