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System approach to image formation in a magic mirror

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Abstract

Image formation in a quasi-linear isoplanar system consisting of a plane-parallel layer of bronze (a “magic mirror”) and a plane-parallel layer of free space (air) is described. The exhaustive characteristic of the quasi-linear isoplanar system is performed with a point spread function, where the role of an incoming signal from a point source is investigated with a local camber (or a hollow) on the back of the bronze mirror. Note that the point spread function of the image system should be as close as possible to a Dirac δ function. The quasi-linear isoplanar imaging magic-mirror–layer-of-space system should map a point source input signal (local camber on the back surface of a bronze mirror) to a point output signal (a light point on the screen). At a certain parity between the thickness of the layer of bronze and the thickness of the layer of free space, this linear isoplanar system forms the image with a very large depth of field.

© 2009 Optical Society of America

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