Sergey Aleksin

Ph.D. thesis

“Reconstruction of permittivity profile of layered structures on basis of reflection coefficient measurements (in Ukrainian)” / S. G. Aleksin. – Dnipropetrovsk : DNU, 2011. – 195 p.

Abstract

Thesis for candidate’s degree in physics and mathematics by specialty 01.04.03 – Radio Physics. — Dnipropetrovsk National University named after Oles Honchar, Dnipropetrovsk, 2011.

Three well-known methods of layered structure permittivity profile (PP) reconstruction on the basis of microwave probing are under consideration. The methods are discrete analog of Gel’fand-Levitan method (DAGLM) that supposes model of structure having layers with equal electrical thickness, the method of dynamic deconvolution (MDD), and the method based on Newton-Kantorovich iterative scheme (NKIS) implementation to Riccati differential equation. The equation connects reflection coefficient in frequency and spatial domains with complex permittivity distribution. The new modifications of the methods are proposed in thesis. The aims of the modifications development are PP reconstruction process acceleration (for DAGLM and NKIS), generalization of the basic methods having been developed in plane-wave probing supposition to the case of divergent-beam probing (for MDD and DAGLM), improvement of reconstruction process stability in the case of lossy layers material (for NKIS). In addition, the improved variants of two existing methods of layers interface electrical depth estimation are proposed. The parametrical spectral analysis (PSA) method based on rational-fraction interpolation in Fourier-conjugate domain is also improved. The new approach for PSA optimal order choosing is proposed.

Key words: inverse problem, remote sensing, permittivity profile, layered structure, microwaves, wave beam, reflection coefficient, parametrical spectral analysis.

Monograph

“Solution of the inverse problem for multilayer dielectric structures (in Ukrainian)” / O. O. Drobakhin, S. G. Aleksin. – Dnipropetrovsk : DNU, 2012. – 240 p.

Abstract

The monograph is devoted to the methods of inverse problem solving for dielectric structures with piecewise constant profile based on reflection coefficient measurements in wide frequency band, i. e. reconstruction of permittivity profile. The methods of quasi-solution, modified dynamic deconvolution, modified discrete analogue of Gel’fand-Levitan-Marchenko method and modified Newton-Kantorovich iteration scheme are under discussion. The last scheme is that one solving the Riccati differential equation that relates spatial-frequency distribution of reflection coefficient and complex permittivity. The modifications provide acceleration of the profile reconstruction process, generalization of the basic techniques for the case of substantial divergence of the probing beam, and increasing of the reconstruction process stability in the case of substantial energy losses in layers materials. The results for improved parametric spectral analysis method based on interpolation with rational fraction in Fourier-conjugate domain are present.

Primary papers

1. Aleksin SG, Zheng K, Rusakov DA, Savtchenko LP (2017) ARACHNE: A neural-neuroglial network builder with remotely controlled parallel computing. PLoS Comput Biol 13(3): e1005467. (hyperlink)
2. Алексін С. Г. Метод Гельфанда-Левітана: вдосконалення ітераційної процедури та дослідження визначника і числа обумовленості / С. Г. Алексін, О. О. Дробахін // Вісник ДНУ (Фізика. Радіоелектроніка). – 2008. – Вип. 15, № 2/1. – С. 7–14.
3. Алексин С. Г. Восстановление профиля диэлектрической проницаемости слоистых структур с использованием метода Гельфанда-Левитана-Марченко / С. Г. Алексин, С. Г. Лебедев, О. О. Дробахин // Радіоелектроніка. Інформатика. Управління. – 2009. – № 2. – С. 5–11. (hyperlink)
4. Alexin S. G. Modification of the Newton-Kantorovich Iteration Procedure for Piecewise-Constant Real Permittivity Profile Reconstruction / S. G. Alexin, O. O. Drobakhin, V. O. Tkachenko // Telecommunications and Radio Engineering. – 2009. – No. 68(16). – P. 1411–1421. (hyperlink)
5. Alexin S. G. Reconstruction of Permittivity Profile of Stratified Lossy Dielectric using Newton-Kantorovich Iterative Scheme / S. G. Alexin, O. O. Drobakhin // Telecommunications and Radio Engineering. – 2010. – No. 69(9). – P. 815–837. (hyperlink)
6. Alexin S. G. Comparison of the Methods of 1-D Permittivity Profile Reconstruction: Real Measurement Data Processing / S. G. Alexin, O. S. Antropov, O. O. Drobakhin // Telecommunications and Radio Engineering. – 2010. – No. 69(12). – P. 1121–1127. (hyperlink)

Secondary papers and conference proceedings

1. Алексин С. Г. Метод Ньютона-Канторовича: модификация итерационной процедуры для случая кусочно-постоянного профиля действительной диэлектрической проницаемости / С. Г. Алексин, О. О. Дробахин // Вісник ДНУ (Фізика. Радіоелектроніка). – 2009. – Вип. 16. – № 2. – C. 117–124.
2. Алексин С. Г. Дискретный метод Гельфанда-Левитана восстановления профиля диэлектрической проницаемости слоистых структур при учёте расходимости зондирующего излучения / С. Г. Алексин, О. О. Дробахин, В. Г. Короткая // Системные технологии. – 2009. – № 5(64). – C. 108–114.
3. 1-D Inverse Problem Solution for Dielectric Structure with Discrete Profile of Permittivity: Gel’fand-Levitan Method / M. V. Andreev, S. G. Aleksin, O. O. Drobakhin, V. G. Korotkaya // 11th International Seminar/Workshop on Direct and Inverse Problems in Electromagnetic and Acoustic Wave Theory : proceedings book. – Tbilisi (Georgia), 2006. – P. 99–102. (hyperlink)
4. Alexin S. G. Improvement of Gel’fand-Levitan’s Iteration Procedure for Permittivity Profile Reconstruction using Block Matrix Inversion for SLAE Solving / S. G. Alexin, O. O. Drobakhin // 7th Young Scientist Conference on Radiophysics and Electronics : abstracts book. – Kharkov (Ukraine), 2007. – P. 121.
5. Alexin S. G. Reconstruction of Permittivity profile for Stratified Dielectric Material: Gel’fand-Levitan and Newton-Kantorovich Methods / S. G. Alexin, O. O. Drobakhin, V. O. Tkachenko // 9th International Conference on Mathematical Methods in Electromagnetic Theory : proceedings book. – Odessa (Ukraine), 2008. – P. 141–143. (hyperlink)
6. Alexin S. G. Reconstruction of Permittivity Profile by Gel’fand-Levitan Method Using Reflectometry Data Extrapolation / S. G. Alexin, O. S. Antropov, O. O. Drobakhin // 4th International Conference on Ultrawideband and Ultrashort Impulse Signals : proceedings book. – Sevastopol (Ukraine), 2008. – P. 201–203. (hyperlink)
7. Alexin S. G. Modification of Newton-Kantorovich Iteration Procedure for Piecewise-Constant Real Permittivity Profile Reconstruction / S. G. Alexin, O. O. Drobakhin, V. O. Tkachenko // 2nd International Microwaves, Radar and Remote Sensing Symposium : proceedings book. – Kiev (Ukraine), 2008. – P. 158–161. (hyperlink)
8. Alexin S. G. Dielectric Slab Parameters Estimation Using “Quasiduration”-Based Objective Function Minimization with Genetic Algorithm / S. G. Alexin, O. O. Drobakhin, O. O. Plakhotya // 13th International Seminar/Workshop on Direct and Inverse Problems in Electromagnetic and Acoustic Wave Theory : proceedings book. – Tbilisi (Georgia), 2008. – P. 53–57.
9. Alexin S. G. The Method of Minimum of Duration in Application to Permittivity Profile Reconstruction / S. G. Alexin, O. S. Antropov, O. O. Drobakhin // 13th International Seminar/Workshop on Direct and Inverse Problems in Electromagnetic and Acoustic Wave Theory : proceedings book. – Tbilisi (Georgia), 2008. – P. 48–52. (hyperlink)
10. Alexin S. G. Inverse Problem Solving for Layered Dielectric Structure using Newton-Kantorovich Iterative Scheme with Increased Accuracy / S. G. Alexin, O. O. Drobakhin // 14th International Seminar/Workshop on Direct and Inverse Problems in Electromagnetic and Acoustic Wave Theory : proceedings book. – Lvov (Ukraine), 2009. – P. 227–231. (hyperlink)
11. Alexin S. G. Reconstruction of Permittivity Profile of Stratified Structures with Losses on Basis of Divergent Beam Probing using Multifrequency Data in Wide Frequency Band / S. G. Alexin, O. O. Drobakhin // 5th International Conference on Ultrawideband and Ultrashort Impulse Signals : proceedings book. – Sevastopol (Ukraine), 2010. – P. 177–179. (hyperlink)

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