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Multiple wavefront manipulation through matrix algebra

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Abstract

A technique for manipulating wavefronts of propagated objects is proposed, applying matrix algebra to data containing the amplitude and phase information of objects previously propagated. Matrices act as operators, altering the initial conditions of the propagated objects, such as their spatial coordinates, reflection effects, and changes in depth. In this work, we present the use of simple matrices, opening new perspectives on the spatial composition of objects in the final stage of 3D visualization.

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Authors and Affiliations

  1. Optics Department, Instituto Nacional de Astrofísica Óptica y Electrónica, Luis Enrique Erro No.1, Puebla, 72840, Mexico

    J. M. Villa-Hernández, A. Olivares-Pérez, R. M. Herrán-Cuspinera & R. Vallejo-Mendoza

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  1. J. M. Villa-Hernández
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  2. A. Olivares-Pérez
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  3. R. M. Herrán-Cuspinera
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Appendix

Appendix

1.1 A original holograms

In this section we present some of the complete holograms used in the creation of the reconstructed objects throughout the document. They are presented unaltered and at full resolution.

Fig. 15
figure 15

Original holograms; a for three objects and b for the three dimensional spiral

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Figure 15a shows the complete hologram that was generated with the wavefront from Fig. (8c). A part of it was amplified for better visualization in Fig. 10. On the contrary, Fig. 15b shows the hologram used for reconstruction in Fig. 14a.

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Villa-Hernández, J.M., Olivares-Pérez, A., Herrán-Cuspinera, R.M. et al. Multiple wavefront manipulation through matrix algebra. Appl. Phys. B 127, 15 (2021). https://doi.org/10.1007/s00340-020-07541-1

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