Numerical simulation of wave propagation through a spherical particle within the framework of generalised Lorenz-Mie theory

Author:

Fedorov A. G.1,Mironov M. P.1

Affiliation:

1. M.K. Ammosov North-Eastern Federal University

Abstract

Holography has been widely used for measuring and visualising transients in multiphase flows. Earlier, one of the drawbacks of this approach was the need to register on various photosensitive elements and its subsequent transfer to digital format and restoration. With the development of digital technologies, direct registration of interference patterns (holographic images) into a CCD matrix became possible. However, even in digital holography there are a number of problems that need to be solved. These problems pertain to recovery algorithms, efficient data processing and resolution, among others. Currently, the numerical implementation of the restoration and processing of holographic images can be done within the framework of classical diffraction theory or with the help of generalised Lorenz-Mie theory. The first implies an indirect solution of Maxwell's equations, i.e., application of the Huygens-Fresnel principle. The second approach involves a direct solution of Maxwell's equations for the holographic problem. In the framework of this work, a numerical simulation of holographic imaging of fields from spherical particles based on the generalised Lorenz-Mie theory is proposed. Within the framework of this work, a numerical implementation of modelling of holographic images of a homogeneous sphere based on the generalised Lorenz-Mie theory is presented. The implementation code in the python programming language is presented. The results of the study demonstrate the possibility of effective use of digital holography for visualisation and analysis of spherical objects.

Publisher

North-Eastern Federal University

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