Volumes and Issues
Home » Technical Physics » Year 2023, issue 7 » Article p. 988
<<<
The use of morphometric variables in the surface topography study of X-ray optical elements
Russian version
DOI: 10.61011/TP.2023.07.56651.89-23
Dedkova A.A. 1,2, Florinsky I.V. 2, Chernyshev A.K. 3
1National Research University of Electronic Technology, Zelenograd, Moscow, Russia
2Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Pushchino, Russia
3Institute for Physics of Microstructures, Russian Academy of Sciences, Nizhny Novgorod, Russia
Email: dedkova@ckp-miet.ru, iflor@mail.ru, chernyshev@ipmras.ru
PDF
We studied the use of morphometric variables (maximal curvature, minimal curvature, mean curvature, topographic index, etc.) for study of the surface of X-ray optical elements. We performed calculations on digital elevation models of a spherical concave substrates: primordial and smoothed digital elevation models, before and after technological operations (mechanical lapping, axisymmetric surface shape correction, ion beam figuring). We have demonstrated a visual display of weakly expressed topographic inhomogeneities, incl. which are not displayed on the maps of the original digital elevation models. The consideration included the study of both the measured samples and the errors in the formation of the digital elevation model (artifacts from the recording system and from the inhomogeneity of the medium), as well as the features of scale decomposition when using the universal spectral-analytical method. Keywords: surface, topography, digital elevation model, DEM, multilevel analysis, shaping, aspherization, interferometry, x-ray optics, multilayer interference mirror, curvature, morphometric variable, geomorphometry, defect, measurement artifact. DOI: 10.61011/TP.2023.07.56651.89-23
  1. A.A. Akhsakhalyan, A.D. Akhsakhalyan, D.G. Volgunov, M.V. Zorina, M.N. Toropov, N.I. Chkhalo. Poverkhnost'. Rentgenovskie, sinkhrotronnye i neytronnye issledovaniya 7, 93 (2015) (in Russian). DOI: 10.7868/S0207352815070033
  2. E.B. Klyuenkov, V.N. Polkovnikov, N.N. Salashchenko, N.I. Chkhalo. Bull. Russ. Academ. Sci.: Phys., 72 (2), 188 (2008)
  3. V.V. Gribkov, A.S. Markelov, V.N. Trushin, E.V. Chuprunov. Pribory i tekhnika eksperimenta, 1, 136 (2018) (in Russian). DOI: 10.7868/S0032816218010196 [V.V. Gribko, A.S. Markelov, V.N. Trushin, E.V. Chuprunov. Instruments and Experimental Techniques, 61 (1), 148 (2018). DOI: 10.1134/S0020441218010165]
  4. A.A. Akhsakhalyan, A.D. Akhsakhalyan, S.A. Garakhin, N.N. Salashchenko, M.N. Toropov, N.I. Chkhalo, N.F. Erkhova, A.S. Kirichenko, S.V. Kuzin. Tech. Phys., 64 (11), 1680 (2019). DOI: 10.1134/S1063784219110033
  5. A. Khudolei, G. Gorodkin, L. Gleb, A. Alexandronets. Nauka i innovatsii, 6 (148), 20 (2015) (in Russian)
  6. D.G. Denisov, O.S. Ageeva. Kontenant, 19 (4), 10 (2020) (in Russian)
  7. A.P. Semenov, A.N. Ignatov, A.B. Nikonov, V.E. Patrikeev, A.B. Morozov, A.Yu. Papaev, M.A. Laukhin, V.N. Pyshnov, A.O. Lyakhovets, E.S. Golubev, A.V. Smirnov. Kontenant, 20 (3), 7 (2021) (in Russian)
  8. A.P. Semenov, M.A. Abdulkadyrov, N.S. Dobrikov, A.N. Ignatov, V.E. Patrikeev, A.Yu. Papaev, A.V. Polyanshchikov, V.V. Pridnya. J. Opt. Technol., 84 (11), 767 (2017). DOI: 10.1364/JOT.84.000767
  9. N.I. Chkhalo, N.N. Salashchenko. Bulletin of the Russian Academ. Sci.: Phys., 83 (2), 105 (2019). DOI: 10.3103/S1062873819020072
  10. V.V. Gribko, A.S. Markelov, V.N. Trushin, E.V. Chuprunov. J. Surf. Investigation: X-Ray, Synchrotron and Neutron Techniques, 11 (3), 505 (2017). DOI: 10.1134/S1027451017030077
  11. V.V. Gribko, A.S. Markelov, V.N. Trushin, E.V. Chuprunov. Instruments and Experimental Techniques, 62 (5), 703 (2019). DOI: 10.1134/S0020441219040183
  12. N.N. Salashchenko, M.N. Toporov, N.I. Chkhalo. Bull. Russ. Academ. Sci.: Phys., 74 (1), 53 (2010). DOI: 10.3103/S1062873810010144
  13. A.K. Chernyshev, I.V. Malyshev, A.E. Pestov, N.I. Chkhalo. Tech. Phys., 64 (11), 1560 (2019). DOI: 10.1134/S1063784219110069
  14. M.V. Zorina, I.M. Nefedov, A.E. Pestov, N.N. Salashchenko, S.A. Churin, N.I. Chkhalo. J. Surfa. Investigation: X-Ray, Synchrotron and Neutron Techniques, 9 (4), 765 (2015). DOI: 10.1134/S1027451015040394
  15. M.N. Toropov, A.A. Akhsakhalyan, M.V. Zorina, N.N. Salashchenko, N.I. Chkhalo, Yu.M. Tokunov. Tech. Phys., 65 (11), 1873 (2020). DOI: 10.1134/S1063784220110262
  16. A. Chernyshev, N. Chkhalo, I. Malyshev, M. Mikhailenko, A. Pestov, R. Pleshkov, R. Smertin, M. Svechnikov, M. Toropov. Precis. Eng., 69, 29 (2021). DOI: 10.1016/j.precisioneng.2021.01.006
  17. A.A. Akhsakhalyan, N.I. Chkhalo, N. Kumar, I.V. Malyshev, A.E. Pestov, N.N. Salashchenko, M.N. Toropov, B.A. Ulasevich, S.V. Kuzin. Precis. Eng., 72, 330 (2021). DOI: 10.1016/j.precisioneng.2021.05.011
  18. O.K. Garishin, R.I. Izyumov, A.L. Svistkov. Vestnik Permskogo un-ta. Fizika, 1 (39), 36 (2018) (in Russian). DOI: 10.17072/1994-3598-2018-1-36-45
  19. N.I. Uzhegova, A.L. Svistkov. Computational Continuum Mechanics, 9 (3), 366 (2016) (in Russian). DOI: 10.7242/1999-6691/2016.9.3.30
  20. R.A. Korotchenko, A.N. Samchenko, I.O. Yaroshchuk. Oceanology, 54 (4), 497 (2014). DOI: 10.1134/S0001437014030047
  21. I.V. Florinsky. Digital Terrain Analysis in Soil Science and Geology. 2-nd ed. (Elsevier Academic Press, Amsterdam, 2016)
  22. Y. Deng. Progress in Physical Geography, 31 (4), 405 (2007). DOI: 10.1177/0309133307081291
  23. T. Hengl, H.I. Reuter (eds.) Geomorphometry: Concepts, Software, Applications (Elsevier, Amsterdam, 2009)
  24. Z. Li, Q. Zhu, C. Gold. Digital Terrain Modeling: Principles and Methodology (CRC Press NY., 2005)
  25. G. Lv, L. Xiong, M. Chen, G. Tang, Y. Sheng, X. Liu, Z. Song, Y. Lu, Z. Yu, K. Zhang, M. Wang. J. Geograph. Scie., 27 (11), 1389 (2017). DOI: 10.1007/s11442-017-1442-0
  26. J. Minar, J. Krcho, I.S. Evans. Reference Module in Earth Systems and Environmental Sciences (2016), DOI: 10.1016/B978-0-12-409548-9.10260-X
  27. I.D. Moore, R.B. Grayson, A.R. Ladson. Hydrological Processes, 5 (1), 3 (1991). DOI: 10.1002/hyp.3360050103
  28. R.J. Pike. Progr. Phys. Geogr., 24 (1), 1 (2000). DOI: 10.1177/030913330002400101
  29. J.P. Wilson. Geomorphology, 137 (1), 107 (2012). DOI: j.geomorph.2011.03.012
  30. J.P. Wilson Environmental Applications of Digital Terrain Modeling (Wiley-Blackwell Chichester, 2018)
  31. J.P. Wilson, J.C. Gallant (eds.) Terrain Analysis: Principles and Applications (Wiley NY., 2000)
  32. P.A. Shary. Mathem. Geology, 27 (3), 373 (1995). DOI: 10.1007/BF02084608
  33. P.A. Shary, L.S. Sharaya, A.V. Mitusov. Geoderma, 107 (1/2), 1 (2002). DOI: 10.1016/S0016-7061(01)00136-7
  34. A.A. Dedkova, I.V. Florinsky, N.A. Djuzhev. Phys. Usp., 65, 706 (2022). DOI: 10.3367/UFNe.2021.10.039076
  35. A.A. Dedkova, I.V. Florinsky, N.A. Djuzhev. Tech. Phys., 67 (8), 933 (2022). DOI: 10.21883/TP.2022.08.54553.101-22
  36. A.A. Dedkova, E.E. Gusev, N.A. Dyuzhev, M.Y. Fomichev, M.Y. Shtern, I.V. Florinsky. Russ. J. Nondestructive Testing, 57 (11), 1000 (2021). DOI: 10.1134/S1061830921110073
  37. A.A. Dedkova, I.V. Florinsky. V sb.: Matematicheskaya biologia i bioinformatika. Doklady IX Mezhdunarodnoy konferentsii (Pushchino, 2022), 231 p, DOI: 10.17537/icmbb22.26
  38. I.V. Florinsky, A.N. Pankratov. Intern. J. Geograph. Inform. Sci., 30 (12), 2506 (2016). DOI: 10.1080/13658816.2016.1188932
  39. V. Lakshminarayanan, A. Fleck. J. Modern Optics, 58 (7), 545 (2011). DOI: 10.1080/09500340.2011.554896
  40. M. Foroutan, S.J. Marshall, B. Menounos. J. Glaciology, 65 (254), 971 (2019). DOI: 10.1017/jog.2019.71
  41. Electronic source. Available at: http://iflorinsky.impb.ru/ll-ru.htm

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.

Publisher:

Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru