Pavel S Petrov

Subdivision
Science degree
PhD in Theoretical physics
Research highlights
  • Contribution to the iterative parabolic equations theory (in collaboration with M.Yu. Trofimov, A.D. Zakharenko, M. Ehrhardt);
  • Derivation of new analytical solutions for the 3D propagation problems in underwater acoustics (in collaboration with T.N. Petrova, F. Sturm and S.V. Prants);
  • Application of Maslov’s canonical operator to the semi-analytical solution of nonstationary propagation problems in underwater acoustics (in collaboration with S.A. Sergeev and A.A. Tolchennikov);
  • Study of whispering gallery waves localized near curvilinear isobaths in shallow-water acoustical waveguides (in collaboration with B.G. Katsnelson)
Key publications
  1. Petrov P.S., Sturm F. An explicit analytical solution for sound propagation in a three-dimensional penetrable wedge with small apex angle//Journal of the Acoustical Society of America. 2016. V. 139, No. 3, pp. 1343-1352.
  2. Petrov P.S., Petrova T.N. Asymptotic solution for the problem of sound propagation in a sea with an underwa-ter canyon//Journal of the Acoustical Society of America. 2014. V. 136, No. 4,pp. EL281-EL287.
  3. Petrov P.S., Ehrhardt M. Transparent boundary condi-tions for iterative high-order parabolic equations//Journal of Computational Physics. 2016. V. 313, pp. 144–158.
  4. Trofimov M.Yu., Petrov P.S., Zakharenko A.D. A direct multiple-scale approach to the parabolic equation meth-od// Wave motion. 2013. V. 50. Pp. 586–595.
  5. Petrov P.S., Prants S.V., Petrova T.N. Analytical Lie-algebraic solution of a 3D sound propagation problem inthe ocean//Physics Letters A. 2017. V. 381. pp. 1921–1925.
  6. Petrov P.S., Sergeev S.A., Tolchennikov A.A. Modeling of Pulse Signals in 3D Propagation Problems of Deep-Water Acoustics Based on the Modified Maslov’s Ca-nonical Operator//Russian Journal of Mathematical Phys-ics. 2018. V. 25. No. 1, Pp. 102-112.
  7. Rutenko A.N., Borovoi D.I., Gritsenko A.V., Petrov P.S. et al. Monitoring the acoustic field of seismic survey pulses in the near-coastal zone // Acoust. Phys. 2012. V. 58, № 3. Pp. 326-338.
  8. Petrov P.S., Zakharenko A.D., Trofimov M.Yu. The wave equation with viscoelastic attenuation and its application in problems of shallow sea acoustics // Acoust. Phys. 2012. V. 58, № 6. Pp. 700-707.
  9. Tang J., Петров П.С., Piao S., Козицкий С.Б. К вопро-су о методе изображений в задаче О распространении звука в клине в акустике океана: некоторые исправле-ния и дополнения//Акустический журнал. 2018. Т. 64. № 2, С. 228–240.
  10. Zaikin O.S., Petrov P.S. Algorithm of reconstruction of the sound speed profile in a shallow-water geoacoustic waveguide from modal dispersion data//Optoelectronics, Instrumentation and Data Processing. 2016. V. 52, No. 3, pp. 259–265.
  11. Petrov P.S., Makarov D.V., Ehrhardt M. Wide-angle parabolic approximations for the nonlinear Helmholtz equation in the Kerr media//Europhysics letters. 2016. V. 116. No. 2. Art. no. 24004.
  12. Petrov P.S., Trofimov M.Yu. A nonstationary form of the range refraction parabolic equation and its applica-tion as an artificial boundary condition for the wave equation in a waveguide // Europhysics letters. 2009. V. 85. Art. no. 34001.
  13. Makarov D.V., Kon'kov L.E., Uleysky M.Yu., Petrov P.S. Wave chaos in a randomly inhomogeneous wave-guide: Spectral analysis of the finite-range evolution op-erator// Physical Review E. 2013. V. 87, art. no. 012911.
  14. Petrov P.S., Ehrhardt M. On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation//Applied Mathematics Letters. 2015. V.44, pp. 45–49.
  15. Makarov D.V., Kon’kov L.E., Petrov P.S. Influence of Oceanic Synoptic Eddies on the Duration of Modal Acoustic Pulses//Radiophysics and Quantum Electronics. 2016. V.59, No. 7, pp 576–591.
  16. Petrov P.S., Sergeev S.A., Tolchennikov A.A. Modeling of acoustic signal propagation in deep sea using the Maslov canonical operator//Doklady Mathematics. 2017. V. 95, No. 2, pp. 181–184.
  17. Zaikin O., Petrov P., Posypkin M., Bulavintsev V., Kurochkin, I. A Volunteer Computing Project for Solv-ing Geoacoustic Inversion Problems//Open Engineering. 2017. V. 7, pp. 363–370.
  18. Trofimov M. Yu., Petrov P. S. On the application of the nonstationary form of the Tappert equation as an arti-ficial boundary condition//Journal of Mathematical Sci-ences. 2010. V. 167, № 6, pp. 857-867.
Awards
  • V.I. Il’ichev prize for young scientists for the remarkable achievements in oceanology and acoustics (2017);
  • President’s grant for young scientists (2015);
  • President’s grant for young scientists (2017)
Area of expertise
  • Wave propagation
  • Underwater acoustics
  • Numerical simulation of waves in complex media
  • Mathematical physics
  • Asymptotic methods
Education
  • Dipl.-Math., Irkutsk State University (2006)
  • PhD (Candidate of Sciences), V.I. Il’ichev Pacific Oceanological Institute (2010)
Internet links