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The near-field distribution in the case of the normal incidence to the Luneberg lens reflector is numerically obtained by using the modal expansion technique and point-matching method. As a model of the Luneberg lens, six different homogeneous media is used. A microwave experiment was also performed. Index Terms - Electromagnetic scattering, Luneberg lens reflector, microwave experiment, point-matching method.

For purpose of finding the dielectric constant, a new expression of the beam scattering is obtained by using the boundary element method (BEM) with extended boundary conditions. Comparision between with and without resonant condition was made for total scattered power. To find the accuracy, convergence property of the total scattered power versus divided number has been examined. To check the boundary conditions at the corner of the scatter, the electric field difference between inner and outer side has also been calculated and confirmed. Total electric field distributions in space are illustrated for the plane and beam wave. Microwave experimented was also performed. Index Terms--Boundary element method, dielectric rectangular cylinder, Gaussian beam.