Holographic microscopy with a complicated reference

Journal of Imaging Science and Technology

Volumn 41, Issue 4, 1997, Pages 332-341

  Szöke, Abraham ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; IMAGING TECHNIQUES; INVERSE PROBLEMS; OPTICAL RESOLVING POWER; X RAY CRYSTALLOGRAPHY; X RAY DIFFRACTION;

HOLOGRAMS;

HOLOGRAPHY;

EID: 0031187139     PISSN: 10623701     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (49)

1. D. Gábor, A new microscopic principle, Nature 161, 777 (1948).
2. D. Gábor, Microscopy by reconstructed wave-fronts, Proc. R. Soc. (London) A197, 454 (1949).
3. A. Tonomura, Recent developments in electron holography for phase microscopy, J. Electron Microsc. 44, 425 (1995), and references therein.
4. A. Orchowski, W. D. Rau, and H. Lichte, Electron holography surmounts resolution limit of electron microscopy, Phys. Rev. Lett. 74, 399 (1995), and references therein.
5. S. Lindaas, M. Howells, C. Jacobsen, and A. Kalinovsky, X-ray holographic microscopy via photoresist recording and atomic-force microscope readout, J. Opt. Soc. Am. A 13, 1788 (1996).
6. P. Morin, M. Pitaval, and E. Vicario, Low energy off-axis holography in electron microscopy, Phys. Rev. Lett. 76, 3979 (1996), and references therein.
7. E. N. Leith and J. Upatnieks, Reconstructed wavefronts and communication Theory, J. Opt. Soc. Am. 52, 1123 (1962).
8. D. Sayre and H. N. Chapman, X-ray microscopy, Acta Cryst. A 51, 237 (1995).
9. R. Henderson, The potential and limitations of neutrons, electrons and X-rays for atomic resolution microscopy of unstained biological specimens, Quarterly Rev. Biophy. 28, 171 (1995).
10. A. Szöke, X-ray and electron holography using a local reference beam, in Short Wavelength Coherent Radiation: Generation and Applications, D. T. Attwood and J. Bokor, Ed., American Institute of Physics Conference Proceedings No. 147, New York, 1986.
11. M. Tegze, and Gy. Faigel, X-ray holography with atomic resolution, Nature 380, 49 (1996).
12. 3). Phys. Rev. Lett. 76, 3132 (1996).
13. D. K. Saldin, Holographic crystallography for surface studies: a review of the basic principles, Surface Rev. Lett. Proc. WWEDIS (1996).
14. C. S. Fadley, Diffraction and holography with photoelectrons and Auger electrons: some new directions, Surf. Sci. Repts. 19, 231 (1993).
15. H. J. Kreuzer, K. Nakamura, A. Wierzbicki, H. W. Fink and H. Schmid, Theory of the point source electron microscope, Ultramicrosc. 45, 381 (1992).
16. L. Greengard, Fast algorithms for classical physics, Science 265, 909 (1994).
17. A. Szöke, Holographic methods in x-ray crystallography, II. Detailed theory and connection to other methods of crystallography, Acta Cryst. A49, 853 (1993).
18. M. Bertero, Linear inverse and ill posed problems, Advances in Electronics and Electron Physics, 75, Academic Press, 1989.
19. D. G. Luenberger, Linear and Nonlinear Programming, 2nd ed., Addison Wesley, Reading, MA, 1984.
20. P. C. Sabatier, in Basic Methods of Tomography and Inverse Problems, P. C. Sabatier, Ed., Adam Hilger, 1987.
21. F. Natterer, The Mathematics of Computerized Tomography John Wiley & Sons, Chichester, 1986.
22. G. H. Golub, and C. F. Van Loan, Matrix Computations, 2nd Ed., Johns Hopkins University Press, Baltimore, 1989, p. 71.
23. C. Lánczos, Linear Differential Operators, Van Nostrand, London 1961.
24. R. W. James, The Optical Principles of the Diffraction of X-Rays, Reprinted by Ox Bow Press, Woodbridge, 1982.
25. G. Bricogne, in Int. Tables for Crystallography, B, U. Shmueli, Ed., Kluwer Academic Publishers, Dordrecht, 1992.
26. J. Nunez, Ed., Special issue: image reconstruction and restoration in astronomy, Intern. J. of Imaging Syst. and Technology, 6, 195 (1995).
27. J. J. Barton, Photoelectron holography, Phys. Rev. Lett., 61, 1356 (1988).
28. S. Y. Tong, Hua Li, and H. Huang, Energy extension in three-dimensional imaging by electron emission holography, Phys. Rev. Lett. 67, 3102 (1991).
29. J. J. Barton, Removing multiple scattering and twin images from holographic images, Phys. Rev. Lett. 67, 3106 (1991).
30. A. Szöke, Electron-diffraction spectroscopy and the holographic inverse problem, Phys. Rev. B47, 14044 (1993).
31. D. K. Saldin, X. Chen, N. C. Kothari, and M. H. Patel, Atomic position recovery by iterative optimization of reconstructed intensities: overcoming limitations of holographic crystallography, Phys. Rev. Lett. 70, 1112 (1993).
32. J. C. Dainty, and J. R. Fienup, Image Recovery: Theory and Applications, H. Stark, Ed., Academic Press, orlando, 1987, Chap. 7.
33. I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, 1992.
34. C. E. Heil and D. F. Walnut, Continuous and discrete wavelet trans forms, SIAM Review 31, 628 (1989).
35. G. J. Maalouf, J. C. Hoch, A. S. Stern, H. Szöke, and A. Szöke, Holographic methods in x-ray crystallography, III: First numerical results, Acta Cryst. A49, 866 (1993).
36. P. Béran, and A. Szöke, Simulated annealing for phasing using spatial constraints, Acta Cryst. A51, 20 (1995).
37. J. R. Somoza, H. Szöke, D. M. Goodman, P. Beran, D. Truckses, S.-H. Kim, and A. Szöke, Holographic methods in x-ray crystallography, IV: A fast algorithm and its application to macromolecular crystallography, Acta Cryst. A51, 691 (1995).
38. A. Szöke, H. Szöke, and J. R. Somoza, Holographic methods in x-ray crystallography, V: Multiple isomorphous replacement, multiple anomalous dispersion and non-crystallographic symmetry, Acta Cryst. A53, 291 (1997).
39. L. A. Amos, R. Henderson, and P. N. T. Unwin, Three-dimensional structure determination by electron microscopy of two-dimensional crystals, Prog. Biophys. Mol. Biol. 39, 183 (1982).
40. W. Kühlbrandt, D. N. Wang, and Y. Fujiyoshi, Atomic model of plant light-harvesting complex by electron crystallography, Nature 367, 614 (1994).
41. C. J. Gilmore, K. Shankland, and G. Bricogne, Applications of the maximum entropy method to powder diffraction and electron crystallography, Proc. Roy. Soc. London, A 442, 97 (1993)
42. D. K. Saldin and P. L. de Andres, Holographic LEED, Phys. Rev. Lett. 64, 1270 (1990).
43. J. Spence, W. Qian, and X. Zhang, Contrast and radiation damage in pointprojection electron imaging of purple membrane at 100 V, Ultramicros. 55, 19 (1994).
44. J. M. Rodenburg and R. H. T. Bates, The theory of super-resolution electron microscopy via Wigner-distribution convolution, Phil. Trans. R. Soc. Lond. A 339, 521 (1992).
45. P. D. Nellist, B. C. McCallum, and J. M. Rodenburg, Resolution beyond the information limit in transmission electron microscopy, Nature 374, 630 (1995).
46. H. N. Chapman, Phase-retrieval x-ray microscopy by Wigner-distribution deconvolution, Ultramicrosc. in press (1997).
47. J. Kirz, C. Jacobsen, and M. Howells, Soft x-ray microscopes and their biological applications, Quart. Rev. Biophys. 28, 33 (1995).
48. G. Xu, Atomic resolution hologram, Appl. Phys. Lett. 68, 1901 (1996).
49. H. Jagodzinski and F. Frey, Disorder diffuse scattering of x-rays and neutrons, in Int. Tables for Crystallography. Vol. B, U. Shmueli. Ed., Kluwer Academic Publishers, Dordrecht, 1992.