The scattering and focusing characteristics of a Gaussian beam with phase d
istribution is studied by a stepped index Luneberg lens. A model experiment
was performed using a six-layer spherical lens. Two kinds of beams, that i
s, broad and narrow beam are examined for the incident Gaussian beam. We fi
nd that focusing effect of a narrow beam is wholly lower than that of a bro
ad beam. The focal point is also shifted toward outer of sphere because of
phase lag for the beam source. The spot size equals almost the wavelength f
or the various beam parameters.