A high efficiency and compact optical device comprising two or more active andresonating optical facet surfaces defined by a three-dimensional representationand configured to provide a three-dimensional device. A focal region, remotefrom the optical surfaces and non contiguous therewith, is defined by two or moreactive optical resonant surfaces, at least one of which is self-resonant. Theoptical surfaces in general do not have a continuous second derivative and aredefined by a piecewise continuous surface function providing radially directedfacets. The optical device comprises a transparent dielectric body with itsoptical surfaces being formed on the surfaces of said transparent dielectricbody. A light transducer may be located at a focal region to provide an energy conversion.A light source having a physical extension in space, such as an LED, may be locatedat the focal region to provide collimation. In some embodiments the active surfacesmay be chosen to transform incident radiation into a predetermined shape andhaving a predetermined spatial power distribution.
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