Abstract
We present a numerical study of coherent anti-Stokes Raman scattering Fourier ptychography microscopy (CARS-FPM), a scheme that has not been considered so far in the previously reported CARS wide-field imaging schemes. We show that CARS FPM allows the reconstruction of both real and imaginary parts of the complex third order susceptibility, the latter giving access to the Raman information. First, we introduce a full vectorial model for an efficient computation of CARS far-field images based on the angular spectrum representation of the dyadic green function. Second, the concept of the Ewald’s sphere is extended to apply for wide-field CARS microscopy in order to visualize phase-matching as well as the corresponding object transfer in the k-space. Third, we demonstrate numerically how wide-field CARS images acquired under different illumination angles can be used to reconstruct the complex scatterer distribution applying the intensity-based diffractive tomography (IDT) algorithm. If the pump instead of the Stokes beam is angle-scanned, super-resolved images are obtained by the reconstruction procedure. Finally, we suggest a possible experimental setup that allows CARS FPM and we discuss the relevance of the recently developed laser sources in this context.
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