Noniterative exact solution to the phase problem in optical imaging implemented with scanning probe microscopy

ACS Nano

Volumn 6, Issue 1, 2012, Pages 220-226

  Honigstein, Danielle R ^a   Weinroth, Jacques ^a   Werman, Michael ^a   Lewis, Aaron ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

AFM; HARPS; inverse problem; multiprobe; noniterative; NSOM; optical; phase ambiguity; phase retrieval; super resolution; X ray heavy atom

Indexed keywords

AFM; HARPS; HEAVY ATOMS; MULTIPROBES; NON-ITERATIVE; OPTICAL; PHASE AMBIGUITY; PHASE RETRIEVAL; SUPER RESOLUTION;

ATOMIC FORCE MICROSCOPY; INTEGRATION; INVERSE PROBLEMS; NEAR FIELD SCANNING OPTICAL MICROSCOPY; OPTICAL IMAGE STORAGE; OPTICAL RESOLVING POWER; RESTORATION; X RAY CRYSTALLOGRAPHY; X RAY DIFFRACTION;

OPTICAL RECORDING;

NANOPARTICLE;

ARTICLE; ARTIFACT; COMPUTER ASSISTED DIAGNOSIS; CRYSTALLOGRAPHY; METHODOLOGY; PHASE TRANSITION; SCANNING PROBE MICROSCOPY; THREE DIMENSIONAL IMAGING; ULTRASTRUCTURE;

ARTIFACTS; CRYSTALLOGRAPHY; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MICROSCOPY, SCANNING PROBE; NANOPARTICLES; PHASE TRANSITION;

EID: 84856179590     PISSN: 19360851     EISSN: 1936086X     Source Type: Journal    
DOI: 10.1021/nn203427z     Document Type: Article

References (23)

1. Marchesini, S.; He, H.; Chapman, H. N.; Hau-Riege, S. P.; Noy, A.; Howells, M. R.; Weierstall, U.; Spence, J. C. H. X-ray Image Reconstruction from a Diffraction Pattern Alone Phys. Rev. B 2003, 68, 140101(R)
2. Pfeiffer, F.; Weitkamp, T.; Bunk, O; David, C. Phase Retrieval and Differential Phase-Contrast Imaging with Low-Brilliance X-ray Sources Nat. Phys. 2006, 2, 258-261
3. Nugent, K. A.; Paganin, D.; Gureyev, T. E. A Phase Odyssey Phys. Today 2001, 54, 27-32
4. Gerchberg, R. W.; Saxton, W. O. A Practical Algorithm for the Determination of Phase from Image and Diffraction Plane Pictures Optik 1972, 35, 227-246
5. Fienup, J. R. Phase Retrieval Algorithms: A Comparison Appl. Opt. 1982, 21, 2758-2769
6. Schulz, T. J.; Snyder, D. L. Image Recovery from Correlations J. Opt. Soc. Am. A 1992, 9, 1266-1272
7. Fienup, J. R.; Wackerman, C. C. Phase Retrieval Stagnation Problems and Solutions J. Opt. Soc. Am. A 1986, 3, 1897-1907
8. Choi, K; Lanterman, A. D.; Raich, R. Convergence of the Schulz-Snyder Phase Retrieval Algorithm to Local Minima J. Opt. Soc. Am. A 2006, 23, 1835-1845
9. Green, D. W.; Ingram, V. M.; Perutz, M. F. The Structure of Haemogobin IV: Sign Determination by the Isomorphous Replacement Method Proc. R. Soc. A 1954, 225, 287-307
10. Kim, W.; Hayes, M H. Phase Retrieval Using Two Fourier-Transform Intensities J. Opt. Soc. Am. A 1990, 7, 441-449
11. Ghosh, N.; Buddhiwant, P.; Uppal, A.; Majumder, S. K.; Patel, H. S.; Gupta, P. K. Simultaneous Determination of Size and Refractive Index of Red Blood Cells by Light Scattering Measurements Appl. Phys. Lett. 2006, 88, 084101
12. Wu, Y.; Hu, Y.; Cai, J.; Ma, S.; Wang, X.; Chen, Y.; Pan, Y. Time-Dependent Surface Adhesive Force and Morphology of RBC Measured by AFM Micron 2009, 40, 359-364
13. Goodman, J. Introduction to Fourier Optics; McGraw-Hill: New York, 1968.
14. Axelrod, N; Radko, A.; Lewis, A.; Ben Yosef, N. Topographic Profiling and Refractive Index Analysis Using Differential Interference Contrast (DIC) with Brightfield Intensity and Atomic Force Imaging Appl. Opt. 2004, 43, 2272-2284
15. Popescu, G.; Deflores, L. P.; Vaughan, J. C. Fourier Phase Microscopy for Investigation of Biological Structures and Dynamics Opt. Lett. 2004, 29
16. Ren, X.; Liu, A.; Zou, C.; Wang, L.; Cai, Y.; Sun, F.; Guo, G.; Guo, G. Interference of Surface Plasmon Polaritons from a "Point" Source Appl. Phys. Lett. 2011, 98, 201113
17. Goldstein, R. M.; Zebken, H. A.; Werner, C. L. Satellite Radar Interferometry: Two Dimensional Phase Unwrapping Radio Sci. 1988, 23, 713-720
18. Spottiswoode, B. 2D Phase Unwrapping Algorithms. Matlab Central File Exchange. [Online] 2008; http://www.mathworks.com/matlabcentral/fileexchange/ 22504-2d-phase-unwrapping-algorithms.
19. Ghiglia, D. C.; Pritt, M. D. Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software; Wiley-Interscience: New York, 1998.
20. Elad, M; Fuer, A. Restoration of Single Super-Resolution Image from Several Blurred, Noisy and Down-Sampled Measured Images IEEE Trans. Image Process 1997, 6, 1646-1658
21. Garcia, J.; Zalevsky, Z; Fixler, D. Synthetic Aperture Superresolution by Speckle Pattern Projection Opt. Express 2005, 13, 6073-6078
22. Baird, L.; Ang, G. H.; Low, C. H.; Haegel, N. M.; Talin, A. A.; Li, Q.; Wang, G. T. Imaging Minority Carrier Diffusion in GaN Nanowires Using Near Field Optical Microscopy Physica B 2009, 404, 4933-4936
23. Cross, S. E.; Jin, Y. S.; Rao, J.; Gimzewski, J. K. Nanomechanical Analysis of Cells from Cancer Patients Nat. Nanotechnol. 2007, 2, 780-783