Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation
Abstract
The diffraction of electromagnetic waves for light focused by a high numerical aperture lens from a first material into a second material is treated. The second material has a different refractive index from that of the first material and introduces spherical aberration. We solve the diffraction problem for the case of a planar interface between two isotropic and homogeneous materials with this interface perpendicular to the optical axis. The solution is obtained in a rigorous mathematical manner, and it satisfies the homogeneous wave equation. The electric and magnetic strength vectors are determined in the second material. The solution is in a simple form that can be readily used for numerical computation. A physical interpretation of the results is given, and the paraxial approximation of the solution is derived.
 Publication:

Journal of the Optical Society of America A
 Pub Date:
 February 1995
 DOI:
 10.1364/JOSAA.12.000325
 Bibcode:
 1995JOSAA..12..325T
 Keywords:

 DIFFRACTION;
 ABERRATION;
 FOCUS;
 ELECTROMAGNETIC WAVES