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Sapaev, Usman Kalandarovich

academician of Academy of Sciences of Republic of Uzbekistan
Doctor of physico-mathematical sciences
Birth date: 13.12.1974
E-mail:
Keywords: wave equation, nonlinear optics, slowly varying amplitude approximation, unidirectional approximations, third harmonic generation, femtosecond pulses, dispersion.

Subject:

Nonlinear optics

   
Main publications:
  1. U. K. Sapaev, “Optimum formation of the response of aperiodic nonlinear crystals in the process of second harmonic generation”, The theory of second harmonic generation in nonlinear optical crystals that is caused by the quasiphase-matched interaction of the waves with a random domain structure is developed. The theoretical analysis is performed using the approximation of the intensity fixed within the domain length. It is shown that the developed method allows one to accurately describe the energy exchange between the interacting waves at any values of the efficiency of second harmonic generation. Within the framework of the developed theory, the so-called simulated-annealing algorithm for the formation of the response of the medium is created, which is responsible for the spectral dependence of the efficiency of the second harmonic generation with any specified profiles under conditions of energy depletion of the fundamental radiation., Optics and Spectroscopy, 102:35 (2007), 939–943

https://www.mathnet.ru/eng/person85252
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2025
1. O. I. Sobirov, A. E. Rajabov, A. R. Matnazarov, B. Kh. Eshchanov, Sh. Otajanov, U. K. Sapaev, “Study of femtosecond laser amplification in MgO:LiTaO$_3$ crystals with periodic nonlinear properties”, Nanosystems: Physics, Chemistry, Mathematics, 16:3 (2025),  291–297  mathnet  elib
2015
2. V. E. Eshniyazov, B. Kh. Eshchanov, D. B. Yusupov, Q. Ya. Ergashev, U. K. Sapaev, “On theory of second harmonic generation in 2D nonlinear photonic crystals with arbitrary structures”, Nanosystems: Physics, Chemistry, Mathematics, 6:6 (2015),  779–785  mathnet  isi  elib
3. U. K. Sapaev, V. E. Eshniyazov, B. Kh. Eshchanov, D. B. Yusupov, “Femtosecond pulse shaping via engineered nonlinear photonic crystals”, Nanosystems: Physics, Chemistry, Mathematics, 6:2 (2015),  244–248  mathnet  isi  elib 2
2009
4. U. K. Sapaev, I. A. Kulagin, T. B. Usmanov, “Nonlinear pulse compression in inhomogeneous photonic crystals upon backward second harmonic generation”, Kvantovaya Elektronika, 39:4 (2009),  317–320  mathnet  elib [Quantum Electron., 39:4 (2009), 317–320  isi  scopus] 1
2003
5. I. A. Kulagin, U. K. Sapaev, T. B. Usmanov, “Features of nonstationary SHG of phase-modulated laser pulses under self-action conditions”, Kvantovaya Elektronika, 33:2 (2003),  168–170  mathnet [Quantum Electron., 33:2 (2003), 168–170  isi] 3

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