Optical second harmonic generation, thanks to its coherent nature, is a suitable signal for interferometric mea-surements, such as digital holography: a well-established imaging technique that allows recovering of the complex diffraction wavefields from which it is possible to extract both amplitude-contrast and quantitative phase im-ages. We believe that application of digital holography to non-linear optical fields might ultimately be the key to phase-related functional imaging. In a first approach, we report here on second harmonic generation digital holographic microscopy, and present its application to (1) discrimination of nanoparticles of different nature here polystyrene microspheres and barium titanate (BaTiO_3) nanoparticles - and to (2) 3D-mapping of a distribution of BaTiO_3 nanoparticles.
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