Calculation of x-ray refraction from near-edge absorption data only

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5538, Issue , 2004, Pages 23-30

  Jacobsen, Chris ^a   Wang, Steve ^b   Yun, Wenbing ^b   Frigo, Sean ^c  

^a STONY BROOK UNIVERSITY   (United States)

^b XRADIA INC   (United States)

^c NORTHERN ARIZONA UNIVERSITY   (United States)

Author keywords

Anomalous dispersion; Kramers Kronig; NEXAFS; XANES

Indexed keywords

IMAGING TECHNIQUES; INTEGRATION; LIGHT ABSORPTION; MICROSCOPIC EXAMINATION; MIRRORS; NANOTECHNOLOGY; PHASE SHIFT; RESONANCE; SPECTROMETERS; X RAY ANALYSIS;

ANOMALOUS DISPERSION; KRAMERS-KRONIG; NEXAFS; XANES;

ELECTROMAGNETIC WAVE REFRACTION;

EID: 15844410143     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.560160     Document Type: Conference Paper

References (31)

1. A. Einstein, "Lassen sich Brechungsexponenten der korper für Röntgenstrahlen experimentell ermitteln?," Verhandlungen der deutschen physikalischen Gesellschaft 9(12), pp. 86-87, 1918.
2. B. L. Henke, "Low energy x-ray interactions: photoionization, scattering, specular and Bragg reflection," in Low Energy X-ray Diagnostics, D. T. Attwood and B. L. Henke, eds., 75, pp. 146-155, American Institute of Physics, (New York), 1981. Monterey, 1981.
3. B. L. Henke, E. M. Gullikson, and J. C. Davis, "X-ray interactions: Photoabsorption, scattering, transmission, and reflection at E=50-30,000 eV, Z=1-92," Atomic Data and Nuclear Data Tables 54, pp. 181-342, 1993.
4. J. Stöhr, NEXAFS Spectroscopy, Springer-Verlag, Berlin, 1992.
5. H. Ade, X. Zhang, S. Cameron, C. Costello, J. Kirz, and S. Williams, "Chemical contrast in x-ray microscopy and spatially resolved XANES spectroscopy of organic specimens," Science 258, pp. 972-975, 1992.
6. H. M. Nussenzveig, Causality and Dispersion Relations, Academic Press, New York, 1972.
7. A. Larsson, M. Siegbahn, and I. Waller, "Der experimentelle Nachweis der Brechung von Röntgenstrahlen," Naturwissenschaften 52, pp. 1212-1213, 1924.
8. U. Bonse and M. Hart, "An x-ray interferometer," Applied Physics Letters 6(8), pp. 155-156, 1965.
9. A. Momose, T. Takeda, and Y. Itai, "Phase-contrast x-ray computed tomography for observing biological specimens and organic materials," Review of Scientific Instruments 66(2), pp. 1434-1436, 1995.
10. J. Svatoš, D. Joyeux, D. Phalippou, and F. Polack, "Soft-x-ray interferometer for measuring the refractive index of materials," Optics Letters 18, pp. 1367-1369, 1993.
11. C. Chang, E. Anderson, P. Naulleau, E. Gullikson, K. Goldberg, and D. Attwood, "Direct measurement of index of refraction in the extreme-ultraviolet wavelength region with a novel interferometer," Optics Letters 27(12), pp. 1028-1030, 2002.
12. S. Dambach, H. Backe, T. Doerk, N. Eftekhari, H. Euteneuer, F. Görgen, F. Hagenbuck, K. H. Kaiser, O. Kettig, G. Kube, W. Lauth, H. Schöpe, A. Steinhof, T. Tonn, and T. Walcher, "Novel interferometer in the soft x-ray region," Physical Review Letters 80(25), pp. 5473-5476, 1998.
13. G. R. Morrison, "Phase contrast and darkfield imaging in x-ray microscopy," in Soft X-ray Microscopy, C. Jacobsen and J. Trebes, eds., 1741, pp. 186-193, Society of Photo-Optical Instrumentation Engineers (SPIE), (Bellingham, Washington), 1992.
14. G. Schmahl, D. Rudolph, G. Schneider, P. Guttmann, and B. Niemann, "Phase contrast x-ray microscopy studies," Optik 97, pp. 181-182, 1994.
15. T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, "Phase-contrast imaging of weakly absorbing materials using hard X-rays," Nature 373, pp. 595-598, 1995.
16. K. Nugent, T. Gureyev, D. Cookson, D. Paganin, and Z. Barnea, "Quantitative phase imaging using hard X rays," Physical Review Letters 77(14), pp. 2961-2964, 1996.
17. F. Polack, D. Joyeux, and D. Phalippou, "Phase contrast experiments on the NSLS-X1A scanning microscope," pp. 1-105-109, Springer-Verlag, (Berlin), 1998.
18. P. Cloetens, R. Barrett, J. Baruchel, J.-P. Guigay, and M. Schlenker, "Phase objects in synchrotron radiation hard x-ray imaging," Journal of Physics D: Applied Physics 29, pp. 133-146, 1996.
19. T. Wilhein, B. Kaulich, E. Di Fabrizio, F. Romanato, S. Cabrini, and J. Susini, "Differential interference contrast x-ray microscopy with submicron resolution," Applied Physics Letters 78(14), pp. 2082-2084, 2001.
20. M. Feser, C. Jacobsen, P. Rehak, and G. DeGeronimo, "Scanning transmission x-ray microscopy with a segmented detector," Journal de Physique IV 104, pp. 529-534, 2003.
21. Y. Wang, W. Yun, and C. Jacobsen, "Achromatic fresnel optis for wideband extreme-ultraviolet and x-ray imaging," Nature 424, pp. 50-53, 2003.
22. R. Soufli and E. M. Gullikson, "Reflectance measurements on clean surfaces for the determination of optical constants of silicon in the extreme ultraviolet-soft-x-ray region," Applied Optics 36(22), pp. 5499-5507, 1997.
23. R. Soufli and E. Gullikson, "Absolute photoabsorption measurements of Molybdenum in the range 60-930 ev for optical constant determination," Applied Optics 37(10), pp. 1713-1719, 1998.
24. B. Sae-Lao and R. Soufli, "Measurements of the refractive index of yttrium in the 50-1300- eV energy region," Applied Optics 41(4), pp. 7309-7316, 2002.
25. D. J. Griffiths, Introduction to Electrodynamics, Prentice-Hall, Englewood Cliffs, NJ, 1981.
26. R. W. James, The Optical Principles of the Diffraction of X-rays, Ox Bow Press, Woodbridge, Connecticut, 1982. Originally published as The Crystalline State, Vol. II, ed. L. Bragg (1948).
27. R. E. Burge, "The interaction of x-rays," in X-ray Science and Technology, A. G. Michette and C. J. Buckley, eds., ch. 5, pp. 160-206, Institute of Physics, Bristol, 1993.
28. J. D. Jackson, Classical Electrodynamics, John Wiley & Sons, New York, second ed., 1975.
29. F. King, "Efficient numerical approach to the evaluation of Kramers- Kronig transforms," Journal of the Optical Society of America B 19(10), pp. 2427-2436, 2002.
30. P. Bruzzoni, R. Carranza, J. Lacoste, and E. Crespo, "Kramers-Kronig transforms calculation with a fast convolution algorithm," Electrochimica Acta 48(4), pp. 341-347, 2002.
31. K. Kaznacheyev, A. Osanna, C. Jacobsen, O. Plashkevych, O. Vahtras, H. Ågren, V. Carravetta, and A, Hitchcock, "Innershell absorption spectroscopy of amino acids," Journal of Physical Chemistry A 106(13), pp. 3153-3168, 2002.