We assess the accuracy and relevance of the numerical algorithms based on theprinciples of Geometrical Optics (GO) and Physical Optics (PO) in the analysisof reduced-size homogeneous dielectric lenses prone to behave as openresonators. As a benchmark solution, we use the Muller boundary integralequations discretized with trigonometric Galerkin scheme that has guaranteedand fast convergence as well as controllable accuracy. The lens cross-sectionis chosen typical for practical applications, namely an extended hemiellipsewhose eccentricity satisfies the GO focusing condition. The analysis concernshomogeneous lenses made of rexolite, fused quartz, and silicon with the sizevarying between 3 and 20 wavelengths in free space. We consider the 2-D casewith both E- and H-polarized plane waves under normal and oblique incidence,and compare characteristics of the near fields.
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