Abstract
A successive consideration of the formation of X-ray diffraction phase contrast of weakly absorbing noncrystalline objects with statistically distributed small-scale density inhomogeneities has been performed. It was assumed that the incident X-ray beam has an arbitrary degree of spatial coherence, and the changes in the statistical characteristics of this radiation during Bragg diffraction reflection from the monochromator and analyzer were taken into account. The phenomena of the increase and/or decrease in the phase contrast from regions with randomly distributed microcalcifications, in dependence of their rms sizes, relative refractive index decrement, and the lengths of spatial coherence of radiation and phase correlation as a result of diffraction-enhanced diffuse scattering are explained.
REFERENCES
E. Forster, K. Goetz, and P. Zaumseil, Krist. Tech. 15, 937 (1980). https://doi.org/10.1002/crat.19800150812
K. M. Podurets, V. A. Somenkov, and S. Sh. Shil’shtein, Sov. Tech. Phys. 34 (6), 654 (1989).
K. M. Podurets, V. A. Somenkov, and S. Sh. Shilstein, Physica B 156–157, 691 (1989). https://doi.org/10.1016/0921-4526(89)90765-5
V. A. Somenkov, A. K. Tkalich, and S. Sh. Shil’shtein, Sov. Tech. Phys. 36, 1309 (1991).
V. N. Ingal and E. A. Belyaevskaya, Sov. Tech. Phys. 63, 137 (1993).
V. N. Ingal and E. A. Beliaevskaya, J. Phys. D 28, 2314 (1995). https://doi.org/10.1088/0022-3727/28/11/012
D. Gao, T. J. Davis, and S. W. Wilkins, Aust. J. Phys. 48, 103 (1995). https://doi.org/10.1071/PH950103
T. J. Davis, D. Gao, T. E. Gureyev, et al., Nature 373, 595 (1995). https://doi.org/10.1038/373595a0
T. J. Davis, T. E. Gureyev, D. Gao, et al., Phys. Rev. Lett. 74, 3173 (1995). https://doi.org/10.1103/PhysRevLett.74.3173
V. A. Bushuev, V. N. Ingal, and E. A. Belyaevskaya, Crystallogr. Rep. 41, 766 (1996).
D. Chapman, W. Thomlinson, F. Arfelli, et al., Rev. Sci. Instrum. 67, 3360 (1996). https://doi.org/10.1063/1.1147502
S. Sh. Shil’shtein, K. M. Podurets, V. A. Somenkov, and A. A. Manushkin, Surf. Invest.: X-Ray, Synchrotron Neutron Tech. 12, 451 (1997).
V. N. Ingal and E. A. Beliaevskaya, Phys. Medica 12, 75 (1996).
V. N. Ingal and E. A. Belyaevskaya, Surf. Invest.: X-Ray, Synchrotron Neutron Tech. 12, 441 (1997).
V. N. Ingal and E. A. Belyaevskaya, Tech. Phys. 42, 59 (1997).
V. A. Bushuev, E. A. Beliaevskaya, and V. N. Ingal, Nuovo Cimento Soc. Ital. Fis. 19 D, 513 (1997). https://doi.org/10.1007/BF03041011
V. N. Ingal and E. A. Beliaevskaya, Nuovo Cimento Soc. Ital. Fis. 19 D, 553 (1997). https://doi.org/10.1007/BF03041016
T. E. Gureyev and S. W. Wilkins, Nuovo Cimento Soc. Ital. Fis. 19 D, 545 (1997). https://doi.org/10.1007/BF03041015
D. Chapman, W. Thomlinson, R. E. Johnston, et al., Phys. Med. Biol. 42, 2015 (1997). https://doi.org/10.1088/0031-9155/42/11/001
E. A. Beliaevskaya, M. Gambaccini, V. N. Ingal, et al., Phys. Medica 14, 19 (1998).
V. N. Ingal, E. A. Beliaevskaya, A. P. Brianskaya, and R. D. Merkurieva, Phys. Med. Biol. 43, 2555 (1998). https://doi.org/10.1088/0031-9155/43/9/009
V. A. Bushuev, V. N. Ingal, and E. A. Belyaevskaya, Crystallogr. Rep. 43, 538 (1998).
V. A. Bushuev and A. A. Sergeev, Tech. Phys. Lett. 24, 851 (1998).
V. A. Bushuev and A. Kone, Surf. Invest.: X-Ray, Synchrotron Neutron Tech. 14, 1245 (1999).
V. A. Bushuev and A. A. Sergeev, Tech. Phys. Lett. 25, 83 (1999). https://doi.org/10.1134/1.1262407
V. A. Bushuev and A. A. Sergeev, Surf. Invest.: X-Ray, Synchrotron Neutron Tech. 16, 1429 (2001).
V. A. Bushuev and A. P. Petrakov, Crystallogr. Rep. 46, 171 (2001). https://doi.org/10.1134/1.1358388
V. A. Bushuev and A. A. Sergeev, Surf. Invest.: X-Ray, Synchrotron Neutron Tech., No. 1, 52 (2003).
V. A. Bushuev and M. A. Gus’kova, Bull. Russ. Acad. Sci. Phys.69, 253 (2005).
K. M. Pavlov, C. M. Kewish, J. R. Davis, and M. J. Morgan, J. Phys. D: Appl. Phys. 34, A168 (2001). https://doi.org/10.1088/0022-3727/34/10A/335
K. M. Pavlov, T. E. Gureyev, D. Paganin, et al., J. Phys. D: Appl. Phys. 37, 2746 (2004). https://doi.org/10.1088/0022-3727/37/19/021
A. Snigirev, I. Snigireva, V. Kohn, et al., Rev. Sci. Instrum. 66, 5486 (1995). https://doi.org/10.1063/1.1146073
A. Snigirev, I. Snigireva, V. G. Kohn, and S. M. Kuznetsov, Nucl. Instrum. Methods Phys. Res. A 370, 634 (1996). https://doi.org/10.1016/0168-9002(95)00849-7
S. W. Wilkins, T. E. Gureyev, D. Gao, et al., Nature 384, 335 (1996). https://doi.org/10.1038/384335a0
P. Cloetens, R. Barrett, J. Baruchel, et al., J. Phys. D 29, 133 (1996). https://doi.org/10.1088/0022-3727/29/1/023
T. E. Gureyev and S. W. Wilkins, J. Opt. Soc. Am. A 15, 579 (1998).
T. E. Gureyev and S. W. Wilkins, Opt. Commun. 147, 229 (1998). https://doi.org/10.1016/S0030-4018(97)00637-8
T. E. Gureyev, C. Raven, A. Snigirev, et al., J. Phys. D 32, 563 (1999). https://doi.org/10.1088/0022-3727/32/5/010
Ya. I. Nesterets, Opt. Commun. 281, 533 (2008). https://doi.org/10.1016/j.optcom.2007.10.025
V. Ya. Shovkun, Med. Fiz., No. 2, 25 (2007).
A. S. Akhmanov, Yu. E. D’yakov, and A. S. Chirkin, Introduction into Statistical Radiophysics and Optics (Nauka, Moscow, 1981) [in Russian].
V. A. Bushuev, Bull. Russ. Acad. Sci. Phys. 73, 52 (2009). https://doi.org/10.3103/S1062873809010158
V. A. Bushuev, Bull. Russ. Acad. Sci. Phys. 74, 41 (2010). https://doi.org/10.3103/S1062873810010119
M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Theory of Waves (Nauka, Moscow, 1990) [in Russian].
R. James, Optical Principles of X-ray Diffraction (Bell, London, 1950).
Z. G. Pinsker, Dynamical Scattering of X Rays in Crystals (Springer, Berlin, 1978).
Z. G. Pinsker, X-ray Crystal Oprics (Nauka, Moscow, 1982) [in Russian].
V. I. Iveronova and G. P. Revkevich, Theory of X-ray Scattering (Mosk. Gos. Univ., Moscow, 1978) [in Russian].
A. Authier, Dynamical Theory of X-ray Diffraction (Oxford Univ. Press, New York, 2001), p. 455.
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Bushuev, V.A. Statistical Theory of X-ray Diffraction Phase Contrast Formation. Crystallogr. Rep. 68, 388–395 (2023). https://doi.org/10.1134/S1063774523700074
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DOI: https://doi.org/10.1134/S1063774523700074