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Transport of Intensity equation(TIE) is a non-interferometric method used for quantitative phase imaging. By reformulating the TIE using Contrast Transfer Function, it can be determined that the spatial resolution of the phase retrieved using TIE is limited by the product of imaging system transfer function and a sinc function. In this work, we apply the principles of structured illumination fluorescent microscopy to develop a TIE based super resolved phase imaging technique. The sinusoidal intensity pattern down modulates high frequency spectrum of the phase into the system pass band thereby providing a convenient approach to synthetically enlarge the numerical aperture of the system. Resolution enhancement by two folds is demonstrated using simulations.
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Sibi Chakravarthy Shanmugavel, Yunhui Zhu, "High resolution phase imaging with transport of intensity equation and sinusoidal illumination," Proc. SPIE 11653, Quantitative Phase Imaging VII, 116531K (5 March 2021); https://doi.org/10.1117/12.2579647