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Schematic geometry of the generalized planar lens (a), and of the optimal planar lens configuration (b). The image is positioned at ; the possible lens configurations span .
(Color online) Transfer functions (a) and (b) obtained from exact calculations (curves), and from Eqs. (2) and (3) (symbols); optimal and symmetric lens configurations with various absorptions are shown: Black (solid; squares): , , ; red (dashed; stars) , ; green [dashed-dotted; triangles]: , , ; red (dash-dot-dot; polygons]): , ; horizontal lines in (a) correspond to Eq. (9) .
(Color online) Intensity distributions in symmetric ; (blue, solid) and optimal (red, dashed) planar lenses with the same absorption . (a) intensity distribution along the focal line ; note the intensity peaks at the interface of both lenses (the relatively small intensity peak at the front interface of optimal system [rectangle] is shown in the inset); upward and downward pointing arrows show the positions of the lens in the optimal and symmetric configurations, respectively. (b) Intensity profiles at the focal planes of imaging systems; dotted black line represents the source; note that the resolution of optimal system is twice better than that of a symmetric structure; resolution of both systems is well-described by Eqs. (6) and (7) .
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