Numerical algorithm based on Muller's boundary integral equations is applied to the accurate analysis of the near fields of 2-D models of extended hemielliptic lenses made of rexolite, quartz and silicon. The near field maps are computed for the lenses of 4 wavelengths in width and the incident field taken as a plane wave illuminating the lens in the symmetrical manner. Both E and H-polarized modes are considered. The obtained numerical results highlight the nontrivial behavior of the finite size lenses explained by internal resonances.
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