Refraction of a Spherical Wave in a Spherical Interface

Abstract

Transformation of a plane or spherical wave by refraction at a plane or spherical surface, treated vectorially.---The vector equation of the refracted surface is calculated completely in each of the following four cases: (1) Plane wave incident on plane surface, (2) plane wave on spherical surface, (3) spherical wave on plane surface and (4) spherical wave on spherical surface. In each case an exact expression for the longitudinal aberration is calculated and this is reduced to the usual formula by expansion in series.