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Laboratory of Mathematical Modeling in Physics

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Head of the laboratory: Trofimov Vyacheslav, Professor, Dr.Sc.

Contact information
Phone number: 
+7 (495) 939-52-55

Staff members:

  • Kurkina Elena, Leading Research Fellow, Dr.Sc.
  • Peskov Nikolay, Leading Research Fellow, Dr.Sc.
  • Savenkova Nadezhda, Leading Research Fellow, Dr.Sc.
  • Varentsova Svetlana, Senior Research Fellow, PhD
  • Dorodnitsyn Ludwig, Senior Research Fellow, PhD
  • Kalachinskaya Irina, Senior Research Fellow, PhD
  • Lysak Tatiana, Senior Research Fellow, PhD
  • Troshchiev Yuriy, Senior Research Fellow, PhD
  • Makeev Aleksey, Research Fellow, PhD
  • Semendiayeva Natalia, Research Fellow, PhD
  • Shobukhov Andrey, Research Fellow, PhD, Deputy Dean for Relations with foreign universities
  • Loginova Maria, Researcher, PhD
  • Kuretova Ekaterina, Researcher, PhD
  • Shirokov Ivan, Researcher, PhD
  • Skladchikov Sergey, Researcher, PhD
  • Denisov Anton, Mathematician

Special courses:

Team of the Lab proposes several special courses on various problems of mathematical modeling and developing of numerical methods every semester.

Main Scientific directions

  • Developing the conservative finite-difference schemes for various problem of the nonlinear interaction of the laser radiation with the matter.
  • Developing the artificial boundary conditions for multi-dimensional differential equations.
  • Mathematical modeling of the laser pulse and laser beam interaction with the matter.
  • Frequency conversion of a femtosecond laser pulse.
  • Optical soliton for the nonlinear Schrödinger equation and BEC.
  • Laser pulse interaction with a photonic crystal, including the nonlinear case.
  • Mathematical modeling of chemical reactions kinetics.
  • Developing the computer processing of images captured by passive THz devices with the aim of detecting objects hidden under opaque clothes (counter-terrorism problem).
  • Developing methods for detection and identification of a hidden substance (including an explosive or drugs) by using the picoseconds THz pulse passing through or reflecting from the object (counter-terrorism problem);
  • Observing quantum effects at the laser pulse and beam propagation.

Lab collaborates with various foreign scientists and staffs of Lab have many joint scientific publications.

Recent papers:

  1. L.W.Dorodnicyn, Artificial boundary conditions for high-accuracy aeroacoustic algorithms // SIAM J. Sci. Comput., vol. 32, no. 4, pp. 1950-1979, 2010.
  2. T.G.Elizarova and J.C. Lengrand, Gaseous microflows // Microfluidics. Hoboken, USA: John Wiley & Sons, pp. 25-87, 2010.
  3. V.A.Trofimov, M.V.Fedotov, A.G.Volkov, N.V.Tcherniega, V.V.Savranskii and S.Lan, Computer simulation and observation of anomalous light emission from nonlinear photonic crystal with various geometry of its elements // Laser Physics., vol. 20, no. 5, pp. 1137-1143, 2010.
  4. R.N.Kuzmin, N.P.Savenkova and A.V.Shobukhov, Exact states in the electrodiffusive model with adsorptive boundary conditions // Proc. of the 6th Intern. Conf. on Mathematical Modeling and Computer Simulation of Material Technologies. Ariel, Israel: Ariel University Center of Samaria, pp. 140-146, 2010.
  5. V.A.Trofimov, T.M.Lysak and O.V.Matusevich, Influence of transverse perturbation of soliton propagation direction on laser radiation evolution along the layered medium // Photonic Crystal Fibers IV. N 7714. Bellingham, USA: SPIE, pp. 10-24, 2010.
  6. V.A.Trofimov and S.A.Varentsova, 2D THZ signature for detection and identification of hidden substances and substances in the mixture // Proc. of the Intern. Conf. "Terahertz and Other Electromagnetic Wave Techniques for Defense and Security". New York, USA: Springer, pp. 1-10, 2010.
  7. V.A.Trofimov and S.A.Varentsova, 2D THz signature for substance identification // Active and Passive Signatures. Bellingham, USA: SPIE, no. 7687, pp. 7-19, 2010.
  8. V.A.Trofimov and S.A.Varentsova, Detection of explosive under covering soap using the THz spectral dynamics analysis // Terahertz and Mid Infrared Radiation: Basic Research and Practical Applications. Turunc-Marmaris, Turkey: IEEE Xplore Digital library, pp. 83-84, 2010.
  9. V.A.Trofimov and S.A.Varentsova, Jian Chen, 2D THz and GHz signature for identification of explosive on reflected THz signal // Infrared, Millimeter Wave and Terahertz Technologies. Bellingham, USA: SPIE, no. 7854, pp. 7-24, 2010.
  10. V.A.Trofimov and S.A.Varentsova, Jian Chen, Identification of explosive using the spectrum dynamics of reflected THz and GHz radiation // Millimetre Wave and Terahertz Sensors and Technology III. Bellingham, USA: SPIE, no. 7837, pp. 37-51, 2010.
  11. V.A.Trofimov and S.A.Varentsova, Jian Chen, Method of THz spectrum dynamics analysis for identification of compound medium // Terahertz Physics, Devices, and Systems IV: Advanced Applications in Industry and Defense. Bellingham, USA: SPIE, no. 7671, pp. 45-57, 2010.
  12. V.A.Trofimov, S.A.Varentsova, A.Krotkus and G.Molis, Identification of substance in complicated mixture of simulants under the action of THz radiation on the base of SDA (Spectral Dynamics Analysis) method // Optics and Photonics for Counterterrorism and Crime Fighting VI and Optical Materials in Defence Systems Technology VII. Bellingham, USA: SPIE, no. 7838, pp. 22-41, 2010.
  13. V.A.Trofimov, A.G. Volkov and S.Lan, Optical switching elements based on layered nonlinear photonic crystal // In “Active Photonic Materials III.” Eds. Ganapathi S. Subramania, Stavroula Foteinopoulou. Proceedings of SPIE, vol. 77756, P.78541B (11 pages), 2010.
  14. V.A.Trofimov, T.M.Lysak, O.V.Matysevich and S.Lan, Parameter Control of Optical Soliton in one-dimensional Photonic Crystal // Mathematical modeling and analysis, vol. 15, no. 4, pp. 517-532, 2010.
  15. V.A.Trofimov, T.M.Lysak, and S.Lan, Multistable mode of second harmonic generation in photonic crystal with combined nonlinear response // Optical Engineering, vol. 50, no. 8, pp. 084201, 2011.
  16. T.G.Elizarova and O.V. Bulatov, Regularized shallow water equations and a new method of simulation of the open channel flows // Computers and Fluids, vol. 46, no. 1, pp. 206-211, 2011.
  17. H.-Y.Liu, S.Liang, Q.-F.Dai, L.-J.Wu, Sh.Lan, A.V.Gopal, V.A.Trofimov and T.M.Lysak, Transmission of terahertz wave through one-dimensional photonic crystals containing single and multiple metallic defects // J. Appl. Phys., vol. 110, no. 7, pp. 101-109, 2011.
  18. A.V.Shobukhov and D.S.Maximov, Mathematical models of symmetrical diffusive layers in porous electrodes // J. Materials Sci. and Engineering A., vol. 1, no. 4, pp. 592-597, 2011.
  19. C.Vandekerckhove, B.Sonday, A.Makeev, D.Roose and I.Kevrekidis, A common approach to the computation of coarse-scale steady states and to consistent initialization on a slow manifold // Computers & Chemical Engineering., vol. 35, no. 10, pp. 1949-1958, 2011.
  20. E.S.Kurkina, Modeling global spatial-temporal evolution of society: hyperbolic rrowth and historical cycles // Numerical Analysis and Applied Mathematics ICNAAM 2011. AIP Conference Proceedings., N.Y.: Springer, no. 1389, pp. 1019-1022, 2011.
  21. N.Lvova, I.Shirokov, A.Useinov and K.Gogolinskiy, Surface image processing algorithms in scanning probe microscopy and nanohardness measurements // Proc. of The World Congress on Engineering 2011. London, U.K.: Cambridge Intern. Sci. Publ., no. II, pp. 1577-1582, 2011.
  22. V.A.Trofimov, A.D.Denisov, Z.Huang and H.Han, Adaptive artificial boundary conditions for 2D nonlinear Schrodinger equation // CMMSE 2011: Proc. of the 11th Intern. Conf. on Mathematical Methods in Science and Engineering. Benidorm, Spain: University of Benidorm, no. I, pp. 1150-1156, 2011.
  23. V.A.Trofimov and M.M.Loginova, Finite-difference schemes for a two-dimensional problem of femtosecond pulse interaction with semiconductor // CMMSE 2011: Proc. of the 11th Intern. Conf. on Mathematical Methods in Science and Engineering. Benidorm, Spain: University of Benidorm, no. IV, pp. 1641-1651, 2011.
  24. V.A.Trofimov and T.M.Lysak, Catastrophic self-focusing of axially symmetric laser beams due to cascading SHG // Laser Optics 2010. Proc. of SPIE. Bellingham, USA: SPIE, no. 7822, pp. 7822-7833, 2011.
  25. V.A.Trofimov and T.M.Lysak, Two waves interaction in layered photonic structure at big phase mismatching // Advances in Optical Thin Films IV. Proc. of SPIE. Bellingham, USA: SPIE, no. 8168, pp. 20-29, 2011.
  26. V.A.Trofimov and O.V.Matusevich, The effects similar to quantum teleportation and superluminality at propagating of laser pulse in medium with combined nonlinear response // Active Photonic Materials IV. Proc. of SPIE. Bellingham, USA: SPIE, no. 8095, pp. 55-65, 2011.
  27. V.A.Trofimov, O.V.Matusevich and D.A.Smotrov, Mode of propagation of optical radiation with self-similar pulse shape in layered medium with nonlinear absorption // Active Photonic Materials IV. Proc. of SPIE. Bellingham, USA: SPIE, no. 8095, pp. 36-47, 2011.
  28. V.A.Trofimov and N.V.Peskov, About possibility of eliminating the influence of water vapour on the detection and identification of substance at using the THz laser pulse // Terahertz Emitters, Receivers, and Applications II. Proc. of SPIE. Bellingham, USA: SPIE, no. 8119, pp. 41-55, 2011.
  29. V.A.Trofimov, N.V.Peskov and Sh.Lan, Localization of laser pulse and slow light propagation in nonlinear photonic crystal // Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications V. Proc. of SPIE. Bellingham, USA: SPIE, no. 8120, pp. 6-17, 2011.
  30. V.A.Trofimov, V.V.Trofimov, Chao Deng, Yuan-meng Zhao, Cun-lin Zhang and Xin Zhang, Possible way for increasing the quality of imaging from THz passive device // Optics and Photonics for Counterterrorism and Crime Fighting VII; Optical Materials in Defence Systems Technology VIII. Proc. of SPIE. Bellingham, USA: SPIE, no. 8189, pp. 42-52, 2011.
  31. V.A.Trofimov, V.V.Trofimov and N.V.Levitskiy, Up- and down-conversion at three-wave interaction in medium with combined nonlinear response // Nonlinear Optics and Applications V. Proc. of SPIE. Bellingham, USA: SPIE, no. 8071, pp. 6-17, 2011.
  32. V.A.Trofimov, S.A.Varentsova, N.Palka, M.Szustakowski and T.Trzcinski, The method of the spectral dynamics analysis of reflected signal for problem of identification of substance // Terahertz Physics, Devices, and Systems V: Advance Applications in Industry and Defense. Proc. of SPIE. Bellingham, USA: SPIE, no. 8023, pp. 21-33, 2011.
  33. V.A.Trofimov, S.A.Varentsova, N.Palka, M.Szustakowski, T.Trzcinski, Sh.Lan Sh. and H.-Y.Liu, An influence of the absolute phase of THz pulse on linear and nonlinear medium response // Photoelectronic Detection and Imaging 2011: Terahertz Wave Technologies and Applications. Proc. of SPIE. Bellingham, USA: SPIE, no. 8195, pp. 43-54, 2011.
  34. V.A.Trofimov, S.A.Varentsova, N.Palka, M.Szustakowski and T.Trzcinski, Efficiency of the detection of explosive using the spectral dynamics analysis of reflected signal // Optics and Photonics for Counterterrorism and Crime Fighting VII; Optical Materials in Defence Systems Technology VIII. Proc. of SPIE. Bellingham, USA: SPIE, no. 8189, pp. 25-40, 2011.
  35. V.A.Trofimov, S.A.Varentsova, C.Zhang, J.Shen, Q.Zhou and Y.Shi, 2D signature for identification of drugs // Active and Passive Signatures II. Proc. of SPIE. Bellingham, USA: SPIE, no. 8040, pp. 7-18, 2011.

Recent publications:

• 2013

  1. Deng Hai-Dong, Guang-Can Li, Dai Qiao-Feng, Ouyang Min, Lan Sheng, Trofimov V.A., Lysak T.M. Size dependent competition between second harmonic generation and two-photon luminescence observed in gold nanoparticles // Nanotechnology. 2013. 24. N 7. P. 11-18.
  2. Elizarova T.G., Kalachinskaya I.S., Milyukova O.Yu. Mathematical modeling of thermal convection in a 3D model of the "DAKON" convection sensor // Computational Mathematics and Modeling. 2013. 23. N 1. P. 23-33.
  3. Lvova N.A., Kravchuk K.S., Shirokov I.A. Algorithms for processing scratch images in the sclerometry method // Physics of the Solid State. 2013. 55. N 8. P. 1681-1689.
  4. Makeev A.G., Peskov N.V. The reduction of NO by CO under oxygen-rich conditions in a fixed-bed catalytic reactor: A mathematical model that can explain the peculiar behavior // Appl. Catalysis B: Environmental. 2013. 132. P. 151-161.
  5. Savenkova N.P., Skladchikov S.A., Yusupaliev U., Shuteyev S., Yelensky V.G. Computer simulation of vortex self-maintenance and amplification // Moscow University Physics Bulletin. 2013. 68. N 4. P. 317-319.
  6. Shobukhov A.V., Koibuchi H. Crumpled-to tubule transition and shape transformations of a model of self-avoiding spherical meshwork // Intern. J. Modern Phys. C. 2013. 24. N 9. P. 1-14.
  7. Zhang C., Yao J., Lan S., Trofimov V.A., Lysak T.M. Effects of plasma confinement on the femtosecond laser ablation of silicon // Opt. Commun. 2013. 308. N 1. P. 54-63.
  8. Zhang C.Y., Yao J.W., Li C.Q., Dai Q.F., Lan Sh., Trofimov V.A., Lysak T.M. Asymmetric femtosecond laser ablation of silicon surface governed by the evolution of surface nanostructures // Optics Express. 2013. 21. N 4. P. 4439-4446.
  9. Trofimov V.A. Effective criteria of the detection and identification of mixture substances by using reflected THz pulse // Terahertz Emitters, Receivers, and Applications IV. Proc. of SPIE. N 8846. Bellingham, USA: SPIE, 2013. P. 15-26.
  10. Trofimov V.A. Spectral lines dynamics as an effective tool for the identification of substance using reflected THz signal // Terahertz Physics, Devices, and Systems VII: Advanced Applications in Industry and Defence. Proc. of SPIE. N 8716. Bellingham, USA: SPIE, 2013. P. 21-39.
  11. Trofimov V.A., Denisov A.D. Adaptive artificial boundary conditions for 2D shrodinger equation // Numerical Analysis and its Applications. Lecture Notes in Computer Science. N 8236. Berlin; Heidelberg: Springer, 2013. P. 509-516.
  12. Trofimov V.A., Denisov A.D. Adaptive artificial boundary conditions for Schrodinger equation taking into account first order dispersion of laser pulse and diffraction of laser beam // Proc. of IEEE East-West Design&Test Symposium (EWDTS-2013). Kharkov, Ukraine: Kharkov national university of radioelectronics, 2013. P. 125-128.
  13. Trofimov V.A., Denisov A.D., Fedotov M.V., Prokopenko A.S. Adaptive artificial boundary conditions for Schrodinger equation with non-instantaneous nonlinearity // Proc. of Intern. Conf. PIERS 2013. Stockholm, Sweden: JORCEP, 2013. P. 648-652.
  14. Trofimov V.A., Denisov A.D., Fedotov M.V., Prokopenko A.S. Adaptive artificial boundary conditions for schrodinger equation with non-instantaneous nonlinearity // Progress In Electromagnetics Research Symposium Stockholm Proceedings. Cambridge, UK: The Electromagnetics Academy, 2013. P. 648-652.
  15. Trofimov V.A., Denisov A.D., Tikhomirov V.V. Experimental realization of SDA-method for the detection of substance at long distance // Optics and Photonics for Counterterrorism, Crime Fighting and Defence IX. Proc. of SPIE. N 8901. Bellingham, USA: SPIE, 2013. P. 50-69.
  16. Trofimov V.A., Loginova M.M., Egorenkov V.A. 2D wave structure induced by femtosecond laser pulse in semiconductor // Proc. of 2013 Intern. Conf. on Advanced Optoelectronics and Lasers (CAOL). Kharkiv, Ukraine: Kharkiv national university, 2013. P. 296-298.
  17. Trofimov V.A., Loginova M.M., Egorenkov V.A. Conservative finite-difference schemes for 2D problem of femtosecond pulse propagation in semiconductor // Proc. of the 13th Intern. Conf. CMMSE 2013. N 5. Almeria, Spain: Universidad de Salamanca, 2013. P. 1767-1776.
  18. Trofimov V.A., Loginova M.M., Egorenkov V.A. Laser-induced 2D periodic structures of charged particles concentration in semiconductor under the condition of optical bistability existence // Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications VII. Proc. of SPIE. N 8847. Bellingham, USA: SPIE, 2013. P. 31-43.
  19. Trofimov V.A., Matusevich O.V., Shirokov I.A, Fedotov M.V. Performance of multicore and multiprocessor computers for some 3D problems of nonlinear optics and gaseous dynamics // Inverse Problems and Large-Scale Computations. Springer Proceedings in Mathematics & Statistics. N 52. N.Y., USA: Springer, 2013. P. 91-112.
  20. Trofimov V.A., Matusevich O.V., Shirokov I.A., Fedotov M.V. Performance of multicore and multiprocessor computers for some 3d problems of nonlinear optics and gaseous dynamics // Inverse Problems and Large-scale Computation. Springer Proceedings in Mathematics & Statistics. N 52. N.Y., USA: Springer, 2013. P. 91-112.
  21. Trofimov V.A., Mishanov I.V. Reflection and propagation of laser pulse with a few cycles in medium with time-dependent dielectric permittivity // Nonlinear Optics and Applications VII. Proc. of SPIE. N 8772. Bellingham, USA: SPIE, 2013. P. 1101-1110.
  22. Trofimov V.A., Trofimov V.V., Kuchik I.E. Expanded opportunities of THz passive camera for the detection of concealed objects // Millimetre Wave and Terahertz Sensors and Technology VI. Proc. of SPIE. N 8900. Bellingham, USA: SPIE, 2013. P. 21-34.
  23. Trofimov V.A., Varentsova S.A. Effective criteria for the identification of substance using the spectral lines dynamics of reflected THz signal // Terahertz Emitters, Receivers, and Applications IV. Proc. of SPIE. N 8901. Bellingham, USA: SPIE, 2013. P. 21-41.
  24. Trofimov V.A., Varentsova S.A., Szustakowski M., Palka N. Influence of surface of explosive on its detection and identification using the SDA method for analysis of the reflected THz signal // Active and Passive Signatures IV. Proc. of SPIE. N 8734. Bellingham, USA: SPIE, 2013. P. 422-444.
  25. Trofimov V.A., Zakharova I.G., Smotrov D.A., Lan Sh. Self-similar pulse shape mode for femtosecond pulse propagation in optical fiber with multi-photon absorption and nonlinear refraction // Micro-structured and Specialty Optical Fibres II. Proc. of SPIE. N 8775. Bellingham, USA: SPIE, 2013. P. 101-114.

• 2012

  1. Bychkov V.L., Savenkova N.P., Anpilov S.V., Troshchiev Y.V. Modeling of vorticle objects created in Gatchina discharge // IEEE Trans. on Plasma Science. 2012. 40. N 12. P. 1-1.
  2. Dorodnitsyn L.V. Nonreflecting boundary conditions for one-dimensional problems of viscous gas dynamics // Computational Mathematics and Modeling. 2012. 23. N 4. P. 408-438.
  3. Elizarova T.G., Istomina M.A., Shelkovnikov N.K. Numerical simulation of solitary wave generation in a wind-water annular tunnel // Mathematical Models and Computer Simulations. 2012. 4. N 6. P. 552-559.
  4. Elizarova T.G., Kalachinskaya I.S., Milyukova O.Yu. Mathematical modeling of thermal convection in a 3D model of the "DAKON" convection sensor // Computational Mathematics and Modeling. 2012. 23. N 1. P. 23-33.
  5. Elizarova T.G., Shirokov I.A. Numerical simulation of a nonstationary flow in the vicinity of a hypersonic vehicle // Mathematical Models and Computer Simulations. 2012. 4. N 4. P. 410-418.
  6. Dai J., Fu Z.C., Lan S., Wan X., Tie S.-L., Trofimov V.A., Lysak T.M. Modified threshold of two-photon-pumped random lasing of ZnO nanorods by femtosecond laser ablation // J. Appl. Phys. 2012. 112. N 6. P. 631-637.
  7. Deng H.D., Li G.C., Dai Q.-F., Ouyang M., Lan S., Gopal A.V., Trofimov V.A., Lysak T.M. Role of interfering optical fields in the trapping and melting of gold nanorods and related clusters // Optics Express. 2012. 20. N 10. P. 1096-1097.
  8. Deng H.D., Li G.C., Liu H.-Y., Dai Q.-F., Wu L.-J., Lan Sh., Gopal A.V., Trofimov V.A., Lysak T.M. Assembling of three-dimensional crystals by optical depletion force induced by a single focused laser beam // Optics Express. 2012. 20. N 9. P. 9616-9623.
  9. Trofimov V.A., Lysak T.M. Strong self-focusing of axial symmetric laser beam due to quadratic nonlinearity // J. Opt. Soc. Am. B. 2012. 29. N 7. P. 1731-1743.
  10. Yao J.W., Zhang C.Y., Liu H.-Y., Dai Q.-F., Wu L.-J., Lan S., Gopal A.V., Trofimov V.A., Lysak T.M. High spatial frequency periodic structures induced on metal surface by femtosecond laser pulses // Optics Express. 2012. 20. N 2. P. 905-911.
  11. Zhang C.Y., Yao J.W., Liu H.-Y., Dai Q.-F., Wu L.-J., Lan Sh., Trofimov V.A., Lysak T.M. Colorizing silicon surface with regular nanohole arrays induced by femtosecond laser pulses // Optics Letters. 2012. 37. N 6. P. 1106-1108.
  12. Fu Z.C., Dai J., Liu H.-Y., Dai Q.-F., Wu L.-J., Lan Sh., Tie S.-L., Wan X., Gopal A.V., Trofimov V.A., Lysak T.M. Femtosecond laser ablation of ZnO nanorods for two-photon-pumped random lasing and optical data storage // Appl. Phys. B: Lasers and Optics. 2012. 108. N 1. P. 61-66.
  13. Hai-Ying Liu, Qiao-Feng Dai, Wu Li-Jun, Sheng Lan, Trofimov V.A., Varentsova S.A. Effects of p-type doping on the optical properties of InAs/GaAs quantum dots // Solid State Commun. 2012. 152. N 5. P. 435-439.
  14. Kurkina E.S., Kuretova E.D. General regularities of the distribution of cities by population // Computational Mathematics and Modeling. 2012. 23. N 3. P. 297-311.
  15. Kurkina E.S., Makeev A.G. Mathematical modeling of oscillations in a Lotka reaction on a catalyst surface // Computational Mathematics and Modeling. 2012. 23. N 4. P. 439-460.
  16. Kurkina E.S., Semendyaeva N.L. Mathematical modeling of spatial-temporal structures in a heterogeneous catalytic system // Computational Mathematics and Modeling. 2012. 23. N 2. P. 133-157.
  17. Kuzmin R.N., Maximov D.S., Savenkova N.P., Shobukhov A.V. Mathematical modeling of hysteresis in porous electrodes // J. Math. Chemistry. 2012. 50. N 9. P. 2471-2477.
  18. Makeev A.G., Kurkina E.S., Kevrekidis I.G. Kinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra model // Chaos. 2012. 22. N 2. P. 1-12.
  19. Makeev A.G., Peskov N.V., Yanagihara H. Modeling of the catalytic removal of CO and NO under lean-burn conditions: Can there be too much catalyst? // Appl. Catalysis B: Environmental. 2012. 119. P. 273-278.
  20. Peskov N.V., Slinko M.M., Bychkov V.Yu, Korchak V.N. Mathematical modelling of oscillatory behaviour during methane oxidation over palladium catalysts // Chem. Eng. Science. 2012. 84. P. 684-694.
  21. Trofimov V. A., Varentsova S. A., Szustakowski M., Palka N. Detection and identification of compound explosive using the SDA method of the reflected THz signal // Active and Passive Signatures III. Proc. of SPIE. N 8382. Billingham, USA: SPIE, 2012. P. 10-25.
  22. Trofimov V.A., Denisov A.D. Conservative finite-difference scheme for the problem of laser pulse propagation in a medium with third-order dispersion // Proc. of IEEE East-West Design&Test Symposium (EWDTS'2012). Kharkov, Ukraine: Proc. of Kharkov University, 2012. P. 225-228.
  23. Trofimov V.A., Lysak T.M. Anomalous giant soliton formation near boundary of nonlinear layered PC and its propagation across the PC // Photonic Crystal Materials and Devices X. Proc. of SPIE. N 8425. Bellingham, USA: SPIE, 2012. P. 8121-8132.
  24. Trofimov V.A., Lysak T.M. Strong self-focusing of laser beam in a medium with quadratic nonlinear response // Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications VI. Proc. of SPIE. N 8497. Belingham, USA: SPIE, 2012. P. 8445-8459.
  25. Trofimov V.A., Lysak T.M., Lan Sh. Influence of absorption spectrum width of nanorods on TPA of femtosecond laser pulse // Nanoengineering: Fabrication, Properties, Optics, and Devices IX. Proc. of SPIE. N 8463. Bellingham, USA: SPIE, 2012. P. 6324-6336.
  26. Trofimov V.A., Lysak T.M., Lan Sh. Influence of ellipticity of nanorods on both TPA of femtosecond laser pulse and transformation of pulse spectrum // Nanophotonics IV. Proc. of SPIE. N 8424. Bellingham, USA: SPIE, 2012. P. 3501-3513.
  27. Trofimov V.A., Palka N., Trofimov V.V., Kowalski M. Increasing the instrumental resolution of a commercially available passive THz camera due to computer Treatment of image // Proc. of "5th Global Symp. on Millimeter-Waves (GSMM2012)". Harbin, China: Univ. of Harbin, 2012. P. 427-431.
  28. Trofimov V.A., Peskov N.V. Detection and identification of substance (explosive, drugs) using the dynamics of spectral lines distorted by influence of ambient medium // Terahertz Emitters, Receivers, and Applications II. Proc. of SPIE. N 8496. Bellingham, USA: SPIE, 2012. P. 675-687.
  29. Trofimov V.A., Peskov N.V., Kirillov D.A. Efficiency of using correlation function for estimation of probability of substance detection on the base of THz spectral dynamics // Terahertz Emitters, Receivers, and Applications III. Proc. of SPIE. N 8496. Bellingham, USA: SPIE, 2012. P. 4961-4974.
  30. Trofimov V.A., Rozantsev A.V. 2D soliton formation of BEC at its interaction with external potential // Photonic Fiber and Crystal Devices: Advances in Materials and Innovations in Device Applications VI. Proc. of SPIE. N 8497. Bellingham, USA: SPIE, 2012. P. 576-589.
  31. Trofimov V.A., Trofimov V.V. Real-time computer processing of image from THz passive imaging device for improving of images // Millimetre Wave and Terahertz Sensors and Technology. Proc. of SPIE. N 8544. Bellingham, USA: SPIE, 2012. P. 8544-8555.
  32. Trofimov V.A., Trofimov V.V. Real-time computer treatment of THz passive device images with the high image quality // Passive and Active Millimeter-Wave Imaging XV. Proc. of SPIE. N 8362. Bellingham, USA: SPIE, 2012. P. 8231-8243.
  33. Trofimov V.A., Trofimov V.V., Kuchik I.E., Yuan-meng Zhao, Chao Deng, Xin Zhang. Computer processing of image captured by the passive THz imaging device as an effective tool for its de-noising // Infrared, Millimeter-Wave, and Terahertz Technologies II. Proc. of SPIE. N 8562. Bellingham, USA: SPIE, 2012. P. 621-6235.
  34. Trofimov V.A., Trofimov V.V., Palka N., Kowalski M. Increasing the quality of image of a commercially available passive THz camera due to computer processing of image // Optics and Photonics for Counterterrorism, Crime Fighting and Defence. Proc. of SPIE. N 8546. Bellingham, USA: SPIE, 2012. P. 4601-4614.
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