22 February 2012 Demonstration of self-imaging effect without paraxial approximation
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The classical self-imaging effect can be observed for a periodic object with a pitch larger than the diffraction limit of an imaging system. In this paper, we show that the self-imaging effect can be achieved in an indefinite metamaterial even when the period is much smaller than the diffraction limit in both two-dimensional and three-dimensional numerical simulations, where the paraxial approximation is not applied. This is attributed to the evanescent waves, which carry the information about subwavelength features of the object, can be converted into propagating waves and then conveyed to far field by the metamaterial, where the permittivity in the propagation direction is negative while the transverse ones are positive. The indefinite metamaterial can be realized and approximated by a system of thin, alternating multilayer metal and insulator (MMI) stack. As long as the loss of the metamaterial is small enough, deep subwavelength image size can be achieved.
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Wangshi Zhao, Wangshi Zhao, Xiaoyue Huang, Xiaoyue Huang, Zhaolin Lu, Zhaolin Lu, } "Demonstration of self-imaging effect without paraxial approximation", Proc. SPIE 8269, Photonic and Phononic Properties of Engineered Nanostructures II, 82692B (22 February 2012); doi: 10.1117/12.908209; https://doi.org/10.1117/12.908209

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