Scatting theory for reflective Fourier ptychographic diffraction tomography

TL;DR

This paper introduces a new forward model for reflective Fourier ptychographic tomography, enabling 3D refractive index mapping of weakly scattering objects, extending previous transmission-based methods to include reflective scattering.

Contribution

It develops a novel forward scattering model for reflective Fourier ptychographic microscopy, expanding the technique to measure backward scattering and enabling 3D imaging of semi-transparent objects.

Findings

Model accurately reconstructs 3D refractive index distributions.

Reflective scattering measurements complement transmission data.

Applicable to holographic imaging methods.

Abstract

A forward model is presented to an inverse scattering problem that arises in the application of reflective Fourier ptychographic microscopy. The model allows us to determine the 3D distributions of refractive index for weakly scattering semi-transparent objects using Fourier ptychographic tomography. The derivation results show that both transmission types reported previously and reflective type present in this article are corresponding to a specific application in Wolf's work (Emil Wolf, Opt. Commun. 1969 1(4) pp. 153-156). The transmission type measures the forward scattering field while the reflective type measures the backward scattering field. This model is also available for holographic method