Closed Form Analytic Expressions for the Evanescent and Traveling Components of the Electromagnetic Green Function and for Defocused Hemispherical Focusing of Electromagnetic Waves

Explicit analytic forms, in terms of Lommel functions of two variables, for the evanescent and traveling components of the electromagnetic Green tensor are presented. The field in the focal region, including defocus, of hemispherically focused electric dipole, magnetic dipole, and mixed-dipole waves are expressed analytically in closed form.