Tikhonravov Aleksandr Vladimirovich

Publications in Math-Net.Ru

1. Choosing the broadband monitoring algorithm for the deposition process of optical coatings with accounting for the self-compensation effect of errors
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:4 (2025),  515–527
2. Inverse Sturm–Liouville Problem and its application to inverse problems in thin film optics
   
   Num. Meth. Prog., 25:special issue (2024),  1–10
3. Algorithm for controlling the process of spraying optical coatings based on sample broadband measurement data
   
   Sib. Zh. Ind. Mat., 26:3 (2023),  169–178
4. Optimization of parameters of multilayer diffraction gratings using needle variations
   
   University proceedings. Volga region. Physical and mathematical sciences, 2022, no. 4,  56–68
5. Comparative analysis of algorithms for solving inverse problems related to monochromatic monitoring the deposition of multilayer optical coatings
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:9 (2021),  1528–1535
6. Raising the accuracy of monitoring the optical coating deposition by application of a nonlocal algorithm of data analysis
   
   Sib. Zh. Ind. Mat., 23:2 (2020),  93–105
7. Stable method for optical monitoring the deposition of multilayer optical coatings
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:12 (2020),  2122–2130
8. Computational approach to the investigation of the error self-compensation effect in the deposition of multilayer optical coatings
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:6 (2020),  1045–1052
9. A nonlocal algorithm for analyzing the data of monochromatic optical control in the process of multilayer coating deposition
   
   Num. Meth. Prog., 20:4 (2019),  471–480
10. Comparison of algorithms for determining the thickness of optical coatings online
    
    Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019),  494–504
11. Regularizing algorithms for the determination of thickness of deposited layers in optical coating production
    
    Eurasian Journal of Mathematical and Computer Applications, 6:4 (2018),  38–47
12. Correlation of errors in optical coating production with broad band monitoring
    
    Num. Meth. Prog., 19:4 (2018),  439–448
13. Effect of nanoparticles on the structure of thin films: atomistic simulation results
    
    Num. Meth. Prog., 19:2 (2018),  173–177
14. Ring statistics in disordered solids: a parallel algorithm for clusters with hundred thousands of atoms
    
    Num. Meth. Prog., 18:4 (2017),  447–454
15. Mechanical losses in glassy silicon dioxide: results of atomistic simulation
    
    Num. Meth. Prog., 18:4 (2017),  381–386
16. Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017),  867–875
17. Surface roughness of thin film atomistic nanometer-size clusters
    
    Num. Meth. Prog., 17:4 (2016),  455–459
18. An algorithm of high performance modeling of optical nanocoating deposition processes
    
    Num. Meth. Prog., 14:3 (2013),  323–327
19. High performance modeling of modern deposition processes for optical coating nanotechnology
    
    Num. Meth. Prog., 13:4 (2012),  491–496
20. Low-frequency approximation and the choice of optimal elastic parameters for two-layer blast protection jackets
    
    Num. Meth. Prog., 7:1 (2006),  23–35
21. Stabilization of computational algorithms for the characterization of thin film coatings
    
    Num. Meth. Prog., 6:1 (2005),  109–117
22. New uniqueness classes for determining the parameters of a stratified medium from its energy reflectance
    
    Zh. Vychisl. Mat. Mat. Fiz., 36:11 (1996),  162–172
23. Non-local optimization method for multilayer optical systems
    
    Mat. Model., 7:8 (1995),  105–127
24. Second-order optimization methods in the synthesis of multilayer coatings
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:10 (1993),  1518–1535
25. Uniqueness of the determination of the parameters of a layered medium from the reflection energy coefficient
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:3 (1993),  428–438
26. The scattering of plane wave on columnar structure of thin films
    
    Mat. Model., 3:9 (1991),  31–40
27. An asymptotic approach to the synthesis of a semiconductor device
    
    Mat. Model., 1:9 (1989),  43–63
28. Mathematical methods for analysis and synthesis of layered media
    
    Mat. Model., 1:7 (1989),  13–38
29. Synthesis of absorbing layered media
    
    Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988),  887–900
30. Stable method of solution of problems of synthesis of stratified media
    
    Dokl. Akad. Nauk SSSR, 283:3 (1985),  582–585
31. Problems of optimal control connected with synthesis of laminar media
    
    Differ. Uravn., 21:9 (1985),  1516–1523
32. Synthesis of stratified media with given amplitude-phase properties
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:11 (1985),  1674–1688
33. Amplitude-phase properties of spectral coefficients of stratified media
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:3 (1985),  442–450
34. Synthesis of optical coverings in oblique incidence of light
    
    Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983),  929–935
35. Theoretically attainable exactness of the solution of a synthesis problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:6 (1982),  1421–1433
36. The synthesis of multilayer coverings
    
    Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  135–144


37. Aleksei Georgievich Sveshnikov (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 40:6(246) (1985),  163–164