A synthesis of the aplanatic lens with a two-dimensional gradient of
index of refraction
Venetskiy, V. A. Kaloshin
Kotelínikov Institute of Radio-engineering and
Electronics of RAS
February 15, 2013
Abstract: Two-dimensional problem
of synthesis of media with two-dimensional gradient of a refraction index, transforming
a field from a point source to a flat front with† of Abbe sine condition
satisfaction is considered in a geometrical optics approach. The method of the
given ray trajectories to find a refraction index distribution is used. The
problem is reduced to a partial differential equation of the first order for
the refraction index which is solved by the method of characteristics. Some
realizations of media depending on a choice of the index of refraction
distribution along the axis are given. The eikonal aberrations in the
synthesized medium boundary for the source shifted from the focus are investigated.
A comparison with Mikaelian lens characteristics is carried out.
geometrical optics, inhomogeneous media, lenses, synthesis.