Education, degrees
Moscow State University: Doctor of Science Degree in Mathematical and Theoretical Physics, 1986. The title of thesis: Mathematical methods of the analysis and synthesis of laminar media.
Moscow State University: Ph.D. Degree in Mathematical and Theoretical Physics, 1973. The title of thesis: Synthesis of optical coatings.
In 1970 graduated from the Physics Faculty of Moscow State University, MS. Degree.
Experience in education
19962012: lecture courses at 15 European and 7 North American workshops on “Advanced topics in thin film optics”
1995, 1998, 2001, 2004, 2007, 2010: Short courses at Optical Interference Coating meetings organized by Optical Society of America
19811992: Basic courses of mathematics for the students of the Physics Faculty of MSU
19711981: practical classes in mathematics for the students of the Physics Faculty of MSU
Honors, etc.
Fellow of the Optical Society of America  2005
Diploma of Professor for Theoretical Physics – 1992
Diploma of Senior Scientist  1982 

Career/Employment
1998present: Director of the Research Computing Center of MSU
19911998: DeputyDirector for Research of the Research Computing Center of MSU, Director of the Center for Computational Physics at the Physics Faculty of MSU
19881991: Leading Scientist and DeputyChair of the Division of Mathematics at the Physics Faculty of MSU
19811988: Senior Scientist at the Physics Faculty of MSU
19761981: Assistant Professor at the Physics Faculty of MSU
19731976: Scientist at the Physics Faculty of MSU
19701973 Post graduate at the Physics Faculty of MSU
Specialization
(1) Applied and computational mathematics
(2) Inverse problems in mathematical physics
(3) Thin film optics
Memberships in committees
Chiefeditor of the journal “Computational Methods and Programming” ISSN 05075386
Member of the Scientific Council of MSU
Head of the Scientific Council of the Research Computer Center of MSU
Head of the Council for awarding Doctor degrees at the Research Computing Center of MSU 



Achievements
In seventies – eighties Alexander Tikhonravov developed a basic theory of inverse problems in optics of layered media. He proved fundamental theorems of solvability of inverse synthesis problems in thin film optics. These results formed a basis for a tremendous progress in computational methods for designing multilayer optical systems with various demands for their spectral properties. In 1982 Alexander Tikhonravov invented an absolutely new optimization technique for solving thin film synthesis problems. This technique known as needle optimization technique gained a world wide recognition as the only one nonlocal optimization method that enables one to solve synthesis problems of any complexity that may require optimizations of multilayer systems with many dozens and even many hundreds of optimization parameters. Alexander has developed a theory for solving all classes of inverse recognition problems in thin film optics. These problems start with determination of optical parameters of single films using spectral photometric and ellipsometric data and extend to online determination of multiple parameters of multilayer systems during their production with various monitoring techniques. Alexander’s group is a world leader in developing of computational methods for all classes of problems in thin film optics with applications extending from Xray and EUV optics to conventional optical elements, laser systems, optoelectronic devices, telecommunication systems, etc.
From 1998 Alexander Tikhonravov is a director of the Research Computing Center (RCC) of M.V.Lomonosov Moscow State University. Since that time computer facilities of RCC have been extended from small Beowolftype clusters up to the supercomputers Chebyshev (60 Tflops, installed in 2008), reconfigurable computer RVS5, and Lomonosov (installed in 2010, extended to 1.7 Pflops in 2011). As a result the highest performance level all around Russia and Eastern Europe has been achieved (see http://hpc.msu.ru/). Today more than 500 research groups are users of the MSU supercomputing center. Under the leadership of professor Alexander Tikhonravov RCC of MSU has become also one of the main Russian HPC educational centers.
Alexander Tikhonravov is an author of more than 320 publications with 3 books among them. 



Short list of recent publications
 Sh. Furman and A.V. Tikhonravov, "Basics of optics of multilayer systems", Editions Frontiers, Gifsur Yvette, 1992, 242 p.
 A.N.Tikhonov Jr. A.V. Tikhonravov, M.K.Trubetskov, “Second order optimization methods in the synthesis of multilayer coatings”, J. Comp. Math. Math. Phys., 1993, 33, N 10, pp. 15181535.
 A.V. Tikhonravov, "Some theoretical aspects of thin film optics and their applications", Applied Optics, 1993, Vol. 32, N 28, pp. 54175426.
 A.V. Tikhonravov, J.A. Dobrowolski, "Quasioptimal synthesis for antireflection coatings: a new method", Applied Optics, 1993, Vol. 32, N 22, pp. 42654275.
 A.V. Tikhonravov, B.T. Sullivan, M.V. Borisova, "DiscreteFouriertransform approach to inhomogeneous layer synthesis", Applied Optics, 1994, Vol. 33, pp. 51425150.
 A.V. Tikhonravov, M.V. Klibanov, I.V. Zuev, "Numerical study of the phaseless inverse scattering problem in thin film optics", Inverse problems, 1995, Vol. 11, pp. 251270.
 M.V. Klibanov, Paul E. Sacks, and A.V. Tikhonravov, "The phase retrieval problem", Inverse problems, 1995, Vol. 11, pp. 128.
 S. Gutman, M.V. Klibanov, A.V. Tikhonravov, “Global convexity in a singlesource 3D inverse scattering problem”, IMA Journal of Applied Mathematics – Institute of Mathematics and its Applications, 1995, Vol. 55, n. 3, pp. 281303.
 A.V. Tikhonravov, M.K. Trubetskov, J. Hrdina, J. Sobota, "Characterization of quasirugate filters using ellipsometric measurements", Thin Solid Films, 1996, Vol. 277, pp. 8389.
 A.V. Tikhonravov, M.K. Trubetskov, and G.W. DeBell, “Application of the needle optimization technique to the design of optical coatings”, Applied Optics, 1996, 35, № 28, pp. 54935508.
 A.V. Tikhonravov, P.W. Baumeister, and K.V. Popov, “Phase properties of multilayers”, Applied Optics, 1997, 36, № 16, pp. 43824392.
 K.V. Popov and A.V. Tikhonravov, “The inverse problem in optics of stratified media with discontinuous parameters”, Inverse Problems, 1997, 13, pp. 801814.
 P.G. Verly, A.V. Tikhonravov, M.K. Trubetskov, “Efficient refinement algorithm for the synthesis of inhomogeneous optical coatings”, Applied Optics, 1997, 36, № 7, pp. 14871495.
 A.V. Tikhonravov, M.K. Trubetskov, B.T. Sullivan, J.A. Dobrowolski, “Influence of small inhomogeneitics on the spectral characteristics of single thin films”, Applied Optics, 1997, 36, № 7, pp. 71887198.
 A.V. Tikhonravov, M.K. Trubetskov, A.V. Krasilnikova, «Spectroscopic ellipsometry of slightly inhomogeneous nonabsorbing thin films with arbitrary refractive index profiles theoretical study», Applied Optics, Vol. 37, pp. 59025911, 1998.
 R. Szipocs, A. KohaziKis, S. Lako, P. Apai, A.P. Kovacs, G. DeBell, L. Mott, A.W. Louderback, A.V. Tikhonravov, M.K. Trubetskov, “Negative dispersion mirrors for dispersion control in femtosecond laser: Chirped Dielectric mirrors and multicavity GiresTournois interferometers”, Appl. Phys.B., Vol. 70, pp. S51S57, 2000.
 A.V. Tikhonravov, M.K. Trubetskov, A.V. Krasilnikova, E. Masetti, A. Duparre, E. Quesnel, D. Ristau, “Investigation of the surface microroughness of fluoride films by spectroscopic ellipsometry”, Thin Solid Films, Vol. 397, pp. 229237, 2001.
 A.V. Tikhonravov, M.K. Trubetskov, M.A. Kokarev, T.V. Amotchkina, A. Duparre, E. Quesnel, D. Ristau, S. Gunster. «Effect of Systematic Errors in Spectral Photometric Data on the Accuracy of Determination of Optical Parameters of Dielectric Thin Films». Applied Optics, Volume 41, Issue 13, 25552560, May 2002.
 A.V. Tikhonravov, M.K. Trubetskov. «Automated Design and Sensitivity Analysis of WavelengthDivision Multiplexing Filters». Applied OpticsOT, Volume 41, Issue 16, 31763182, June 2002.
 D. Ristau, S. Gunster, S.r Bosch, A. Duparre, E. Masetti, J. FerreBorrull, G. Kiriakidis, F. Peiro, E. Quesnel, A. Tikhonravov. Ultraviolet Optical and Microstructural Properties of MgF 2 and LaF 3 Coatings Deposited by IonBeam Sputtering and Boat and ElectronBeam Evaporation. Applied OpticsOT, Vol. 41, Issue 16, Page 3196, June 2002.
 A.V.Tikhonravov, M.K.Trubetskov, A.V.Amotchkina, M.A.Kokarev, “Key role of the coating total optical thikness in solving design problems”, in Advances in Optical Thin Films, Claude Amra, Norbert Kaiser, H.Agnus Macleod, Proceedings of SPIE, Vol. 5250, pp. 312321, 2003.
 A.V. Tikhonravov, M.K. Trubetskov, A.A. Tikhonravov, and A. Duparre. “Effects of Interface Roughness on the Spectral Properties of Thin Films and Multilayers”. Applied Optics, 42, pp. 51405148 (2003)
 A.V. Tikhonravov. Design of Optical Coatings, in Optical Interference coatings, Eds. N/ Kaiser and H.K. Pulker, SpringerVerlag, Berlin, pp. 81104, 2003.
 V. Janicki, S. Wilbrandt, O. Stenzel, D. Gabler, N. Kaiser, A. Tikhonravov, M.Trubetskov, T. Amotchkina. Hybrid optical coating design for omnidirectional antireflection purposes, Journal of Optics A: Pure and Applied Optics, Vol. 7, pp. L1L14, 2005.
 A.V.Tikhonravov and M.K.Trubetskov. Computational manufacturing as a bridge between design and production. Applied Optics, Vol. 44, pp. 68776884, 2005.
 A.V. Tikhonravov, M.K. Trubetskov, and T.V .Amochkina, Statistical approach to choosing a strategy of monochromatic monitoring of optical coating production, Applied Optics, 2006.
 A.V. Tikhonravov, M.K. Trubetskov, T.V. Amochkina, M.A. Kokarev, N. Kaiser, O. Stenzel, S. Wilbrandt, D. Gabler. New optimization algorithm for the synthesis of rugate optical coatings, Applied Optics, Vol. 45, pp. 15151524, 2006.
 A.V. Tikhonravov, M.K. Trubetskov, T.V. Amochkina, A. Thelen. Optical coating design algorithm based on the equivalent layers theory, Applied Optics, Vol. 45, pp. 15301538, 2006.
 A.V. Tikhonravov, M.K. Trubetskov, T.V. Amochkina, Investigation of the effect of accumulation of thickness errors in optical coating production using broadband optical monitoring. Applied Optics, 45, pp. 70267034, 2006.
 V. Pervak, A.V. Tikhonravov, M.K. Trubetskov, S. Naumov, F. Krausz, A. Apolonski, “ 1.5octave chirped mirror for pulse compression down to sub3 fs,” Applied Physics B, 87, 512, 2006.
 A. V. Tikhonravov, M. K. Trubetskov, and T. V. Amotchkina, "Computational experiments on optical coating production using monochromatic monitoring strategy aimed at eliminating a cumulative effect of thickness errors," Applied Optics, 46, 69366944, 2007.
 A.V. Tikhonravov, M. K. Trubetskov, and G. W. DeBell, "Optical coating design approaches based on the needle optimization technique," Applied Optics, 46, 704710, 2007.
 V. Pervak, A. V. Tikhonravov, M. K. Trubetskov, J. Pistner, F. Krausz, and A. Apolonski, "Band filters: twomaterial technology versus rugate," Applied Optics, 46, 11901193, 2007.
 A. V. Tikhonravov and M. K. Trubetskov, "Elimination of cumulative effect of thickness errors in monochromatic monitoring of optical coating production: theory," Applied Optics, 46, 20842090, 2007.
 M.V. Klibanov and A. V. Tikhonravov, Estimates of initial conditions of parabolic equations and inequalities in infinite domains via lateral Cauchy data, J. of Differential Equations, 237, pp. 198224, 2007.
 A. V. Tikhonravov, M. K. Trubetskov, T. V. Amotchkina, J. A. Dobrowolski. Estimation of the average residual reflectance of broadband antireflection coatings. – Applied Optics, Vol. 47, pp. C124C130, 2008.
 A. V. Tikhonravov, M. K. Trubetskov, T. V. Amotchkina. Application of constrained optimization to the design of quasirugate optical coatings. – Applied Optics, Vol. 47, 2008.
 S. Wilbrandt, O. Stenzel, N. Kaiser, M. K Trubetskov, A. V. Tikhonravov. In situ optical characterization and reengineering of interference coatings. – Applied Optics, Vol. 47, 2008.
 T.V. Amotchkina, A.V. Tikhonravov, M.K. Trubetskov, D. Grupe, A. Apolonski, V. Pervak, Measurement of group delay of dispersive mirrors with whitelight interferometer, Applied Optics, Vol. 48, Issue 5, pp. 949956, 2009
 V. Pervak, I. Ahmad, J. Fulop, M.K. Trubetskov, A.V. Tikhonravov, Comparison of dispersive mirrors based on the timedomain and conventional approaches, for sub5fs pulses, Optics Express, Vol. 17, Issue 4, pp. 22072217, 2009.
 V. Pervak, I. Ahmad, M. K. Trubetskov, A. V. Tikhonravov, and F. Krausz Doubleangle multilayer mirrors with smooth dispersion characteristics, Optics Express, Vol. 17, pp.79437951, 2009.
 V. G. Zhupanov, E. V. Klyuev, S. V. Alekseev, I. V. Kozlov, M. K. Trubetskov, M. A. Kokarev, and A. V. Tikhonravov, Indirect broadband optical monitoring with multiple witness substrates, Appl. Opt., Vol. 48, pp.23152320, 2009.
 Alexander V. Tikhonravov, Michael K. Trubetskov, and Tatiana V. Amotchkina. Investigation of the error selfcompensation effect associated with broadband optical monitoring. Appl. Opt., 2011, vol. 50, no. 9, pp. C111C116.
 Alexander V. Tikhonravov, Michael K. Trubetskov, Tatiana V. Amotchkina, Gary DeBell, Vladimir Pervak, Anna Krasilnikova Sytchkova, Maria Luisa Grilli, and Detlev Ristau. Optical parameters of oxide films typically used in optical coating production. Appl. Opt., 2011, vol. 50, no. 9, pp. C75C85.
 Alexander V. Tikhonravov, Michael K. Trubetskov, Tatiana V. Amotchkina, and Vladimir Pervak. Estimations of production yields for choosing of a practically optimal optical coating design. Appl. Opt., 2011, vol. 50, no. 9, pp. C141C147.
 M. K. Trubetskov, V. Pervak, and A. V. Tikhonravov. Phase optimization of dispersive mirrors based on coating constants. Opt. Express, 2010, vol. 18, no. 26, pp. 2761327618.
 V. Pervak, M. K. Trubetskov, and A. V. Tikhonravov. Robust synthesis of dispersive mirrors. Opt. Express, 2011, vol. 19, no. 3, pp. 23712380.
 Tatiana V. Amotchkina, Vesna Janicki, Jordi SanchoParramon, Alexander V. Tikhonravov, Michael K. Trubetskov, and Hrvoje Zorc. General approach to reliable characterization of thin metal films. Appl. Opt., 2011, vol. 50, no. 10, pp. 14531464.




