Aperture scanning Fourier ptychographic microscopy

Fourier ptychographic microscopy (FPM) is implemented through aperture scanning by an LCOS spatial light modulator at the back focal plane of the objective lens. This FPM configuration enables the capturing of the complex scattered field for a 3D sample both in the transmissive mode and the reflective mode. We further show that by combining with the compressive sensing theory, the reconstructed 2D complex scattered field can be used to recover the 3D sample scattering density. This implementation expands the scope of application for FPM and can be beneficial for areas such as tissue imaging and wafer inspection.  (2013). 2. R. Horstmeyer and C. Yang, “A phase space model of Fourier ptychographic microscopy,” Opt. Express 22, 338–358 (2014). 3. X. Ou, R. Horstmeyer, G. Zheng, and C. Yang, “High numerical aperture Fourier ptychography: principle, implementation and characterization,” Opt. Express 23, 3472–3491 (2015). 4. X. Ou, R. Horstmeyer, C. Yang, and G. Zheng, “Quantitative phase imaging via Fourier ptychographic microscopy,” Opt. Lett. 38,  (2013). 5. L. Tian and L. Waller, “3D intensity and phase imaging from light field measurements in an LED array microscope,” Optica 2, 104–111 (2015). 6. R. Horstmeyer, J. Chung, X. Ou, G. Zheng, and C. Yang„ “Diffraction tomography with Fourier ptychography,” Optica 3, 827–835 (2016). 7. S. Dong, R. Horstmeyer, R. Shiradkar, K. Guo, X. Ou, Z. Bian, H. Xin, and G. Zheng, “Aperture-scanning Fourier ptychography for 3D refocusing and super-resolution macroscopic imaging,” Opt. Express 22, 13586–13599 (2014). 8. R. Horstmeyer, X. Ou, J. Chung, G. Zheng, and C. Yang, “Overlapped Fourier coding for optical aberration removal,” Opt. Express 22, 24062–24080 (2014). 9. S. Dong, Z. Bian, R. Shiradkar, and G. Zheng, “Sparsely sampled Fourier ptychography,” Opt. Express 22, 5455–5464 (2014). 10. S. Kubota and J. W. Goodman, “Very efficient speckle contrast reduction realized by moving diffuser device,”  (2010). 11. R. Horstmeyer, R. Heintzmann, G. Popescu, L. Waller, and C. Yang, “Standardizing the resolution claims for coherent microscopy,”  (2016). 12. J. W. Goodman, “Introduction to Fourier Optics,” (Roberts and Company Publishers, 2005), 1st ed. 13. E. J. Candès, J. Romberg, and T. Tao, “Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information,”  (2006). 14. E. J. Candès, and T. Tao„ “Near-optimal signal recovery from random projections: Universal encoding strategies?,”  (2006). 15. D. L. Donoho, “Compressed sensing,”  (2006). 16. D. J. Brady, K. Choi, D. L. Marks, R. Horisaki, and S. Lim, “Compressive holography,” Opt. Express 17, 13040– 13049 (2009). 17. M.Born, “Quantenmechanik der stoßvorgänge,” Zeitschrift für Physik 38, 803–827 (1926). 18. R. E. Blahut, Theory of Remote Image Formation ( 2004). 19. E. J. Candès and T. Tao, “Decoding by linear programming,”  (2005). 20. L. I. Rudin, S. Osher, and E. Fatemi, “Nonlinear total variation based noise removal algorithms,” Physica D. 60, 259–268 (1992). 21. J. M. Bioucas-Dias and M. A. Figueiredo, “A new TwIST: two-step iterative shrinkage/thresholding algorithms for image restoration,”  (2007) 2016; revised 23 Jun 2016;  2016; Dias and M. A. Figueiredo, “Two-step Iterative Shrinkage/Thresholding Algorithm for Linear Inverse Problems,” http://www.lx.it.pt/ bioucas/TwIST/TwIST.htm 23. E. J. Candès, J .K. Romberg, and T. Tao, “Stable signal recovery from incomplete and inaccurate measurements,”  (2006). 24. Supervised dictionary learning,” Proc.  (2009). 25. I. Yamaguchi and T. Zhang, “Phase-shifting digital holography,” Opt. Lett. 22, 1268–1270 (1997).