Synthesis and analysis of mirror-lens beam formers systems for planar
multi-beam antennas
V. A. Kaloshin, E.
V. frolova
Kotelnikov
Institute of Radio-engineering and Electronics of RAS
The paper is received on on December
10, 2015
Abstract.
The
problem of synthesis of planar two- layer mirror-lens systems that convert a
cylindrical front into a flat one is considered. Differential equations for the
surfaces of the mirror-lens and lens-mirror systems are obtained. As a result
of numerical integration of differential equations for the mapping of the law,
satisfying the Abbe "sine" condition, forms of aplanatic system
surfaces are found. Using ray tracing technique for a plane front oblique
incidence on one of the surfaces (reflecting or refracting) the analysis of
asymmetrical aberrations for a scattering spot is conducted for large angles of
view with using mean square aberration criterion. A comparison with aberrations
in a two-layer single-reflecand three-layer two-mirror planar systems is
done.
Key words:
multi-beam antenna, mirror-lens system,
aberrations, aplanatic system.