Abstract:
Maslov’s method has been used to derive high frequency field expression for differ-
ent focusing systems. Derived high frequency field expression is valid around the focal
region of focusing systems. Both reflection and transmission based focusing geometries
are considered for discussion. Three dimensional Cassegrain and Gregorian systems
are considered reflection problems. Hyperbolic lens, hyperboliodal lens, plano-convex
lens, inhomogeneous slab and its three dimensional version, that is Wood lens are con-
sidered as transmission problems. It is assumed that each focusing system is placed
in isotropic, homogeneous medium and observed their focused field around the focal
region. Next it is consider that transmitted fields from inhomogeneous slab, Wood lens
and plano-convex lens are focused into negative uniaxial crystal. The numerical results
for focused fields inside negative uniaxial crystal with several different orientations of
the optical axis in the plane of incidence are obtained.
Maslov’s method is a systematic procedure for predicting the field in the caus-
tic region. It combines the simplicity of ray theory and generality of the transform
method and provides remedy of geometrical optics which fails at caustic. Geomet-
rical optics field may be recovered from the high frequency field expression, derived
using Maslov’s method, for observation points away from the caustic. Field patterns
obtained using Malov’s method are compared with those obtained using equivalent
current distribution method, Huygens Krichhoff’s integral, and Debye Wolf focusing
integral and comparisons are found to be in good agreement.
