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Tensor ABCD law for misaligned inline particle holography of inclusions in a host droplet

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Abstract

The 3D characterization of inclusions in a host droplet is of great interest in an academic sense and has wide industrial applications. In the framework of the generalized Huygens–Fresnel integral using a tensor ABCD matrix, a model is proposed to describe inline holography of inclusions inside a host droplet with misalignment caused by a tilt incidence of a laser beam. This model takes droplet morphology, inclusion position, as well as refractive index difference between a droplet and the surrounding medium into account and can be reduced to aligned inclusion holography. Typical behaviors of inclusion holography in both recorded holograms and reconstructed inclusion images are analyzed, including typical fringe features of hyperbola, single and dual systems of ellipse, and reconstructed elliptical images. This work extends inline particle holography to deal with misalignment and thus expands its applications in inclusion characterization in a host droplet.

© 2017 Optical Society of America

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