We present a novel polarization-sensitive Fourier Ptychographic Microscopy (FPM) method that leverages multiplexing techniques in the Fourier plane, eliminating the need for costly polarization cameras or mechanical polarizer rotations. By simply introducing semicircular 0° and 90° linear polarizers in the Fourier plane of a conventional FPM setup, we can effectively split a single pupil into two half-circle pupils, enabling the simultaneous multiplexing of two channels' signals within a single measurement. By imposing two pupil functions on FP phase retrieval, we reconstructed the amplitude and phase information of the two orthogonal polarization channels, ultimately obtaining the Jones matrix of the anisotropic specimen. To validate our proposed method, we demonstrate its application by accurately reconstructing the orientation of the slow axis and phase retardation of MSU crystals known as the birefringence object.
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