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

Scatting theory for reflective Fourier ptychographic diffraction tomography