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General solutions and conditions are presented for paraxial waves exhibiting self-imaging. The waves have finite effective support and are not included in the class of self-imaging wave-fields described by Montgomery rings in the Fourier domain.
Rafael Piestun
"Self-imaging with finite effective apertures", Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 277845 (1 September 1996); https://doi.org/10.1117/12.2299031
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Rafael Piestun, "Self-imaging with finite effective apertures," Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 277845 (1 September 1996); https://doi.org/10.1117/12.2299031