Affiliations: [a] Department of Physics, University of Agriculture,
Faisalabad, Pakistan | [b] Department of Electronics, Quaid-i-Azam University,
Islamabad, Pakistan
Correspondence:
[*]
Corresponding author: Abdul Ghaffar, Department of Physics,
University of Agriculture, Faisalabad, Pakistan. E-mail:
chabdulghaffar@yahoo.com
Abstract: A theoretical investigation is made for the problem of
electromagnetic field focussing by wide angle spherical reflector receiving
obliquely incident plane waves of linearly polarized monochromatic radiation.
The Maslov's method has been applied to determine the electromagnetic fields in
the caustic region of the reflector. High frequency field expression which
contains caustic region is converted into caustic free field expression by
transforming the situation into hybrid domain. The high-frequency field
solution that contains the caustic region is obtained from geometrical optics.
The defect in high frequency solution due to geometrical optics is overcome by
Maslov's method. Two cases of polarization of the incident wave have been
considered, namely, (1) with the field parallel and (2) perpendicular to the
meridional plane of incidence. The numerical computations are made to study the
behavior of field intensity in caustic region using Maslov's method. The
analytical and numerical results obtained from Maslov's method are also
compared with method of angular spectrum which are in agreement.
Keywords: High frequency, Maslov's method, geometrical optics, Hamilton, caustic
