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We perform a basic mathematical analysis of the phase-only-hologram by taking the phase corresponding to a linear combination of N weighted phase functions. We show that this phase only hologram may be written as a new linear combination of the original phase functions with new weights. Also some non desired new terms appear and are written in terms of the original phase functions. The particular case of a trifocal lens is analyzed.
E. Carcolé
"Phase-only-multiplexed holograms", Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27787V (1 September 1996); https://doi.org/10.1117/12.2299166
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E. Carcolé, "Phase-only-multiplexed holograms," Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27787V (1 September 1996); https://doi.org/10.1117/12.2299166