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Zh. Vychisl. Mat. Mat. Fiz., 2001, Volume 41, Number 9, Pages 1429–1433 (Mi zvmmf1294)  

This article is cited in 16 scientific papers (total in 16 papers)

Invariants of femtosecond pulse propagation in photonic crystals

V. A. Trofimov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Full text: PDF file (1025 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2001, 41:9, 1358–1362

Bibliographic databases:
UDC: 519.9:537.812
MSC: Primary 78A60; Secondary 35Q55, 78M20
Received: 09.08.2000
Revised: 15.11.2000

Citation: V. A. Trofimov, “Invariants of femtosecond pulse propagation in photonic crystals”, Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001), 1429–1433; Comput. Math. Math. Phys., 41:9 (2001), 1358–1362

Citation in format AMSBIB
\Bibitem{Tro01}
\by V.~A.~Trofimov
\paper Invariants of femtosecond pulse propagation in photonic crystals
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2001
\vol 41
\issue 9
\pages 1429--1433
\mathnet{http://mi.mathnet.ru/zvmmf1294}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1869901}
\zmath{https://zbmath.org/?q=an:1114.78357}
\transl
\jour Comput. Math. Math. Phys.
\yr 2001
\vol 41
\issue 9
\pages 1358--1362


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. B. Terëshin, V. A. Trofimov, M. V. Fedotov, “A conservative difference scheme for the problem of two-wave interaction of femtosecond pulses in photonic crystals”, Comput. Math. Math. Phys., 43:10 (2003), 1472–1477  mathnet  mathscinet  zmath
    2. Trofimov V.A., Tereshin E.B., Fedotov M.V., “On the possibility of light energy localization in a nonlinear photonic crystal”, Optics and Spectroscopy, 95:1 (2003), 106–109  crossref  mathscinet  adsnasa  isi  scopus
    3. Trofimov V.A., Tereshin E.B., Fedotov M.V., “Soliton-like propagation of light pulses in a nonlinear photonic crystal”, Optics and Spectroscopy, 97:5 (2004), 773–781  crossref  adsnasa  isi  scopus
    4. Trofimov V.A., Tereshin E.B., Fedotov M.V., “Localization of the femtosecond pulse train energy in a one-dimensional nonlinear photonic crystal”, Technical Physics, 49:5 (2004), 587–591  crossref  mathscinet  adsnasa  isi  scopus
    5. Trofimov V.A., Tereshin E.B., “An all-optical switch based on a one-dimensional layered structure with defocusing nonlinearity”, Optics and Spectroscopy, 99:6 (2005), 961–967  crossref  mathscinet  adsnasa  isi  scopus
    6. Volkov A.G., Trofimov V.A., Tereshin E.B., “Conservative difference schemes for some problems of femtosecond nonlinear optics”, Differ Equ, 41:7 (2005), 953–962  mathnet  crossref  mathscinet  zmath  isi  elib
    7. Trofimov V.A., Tereshin E.B., “Stop of light in nonlinear photonic crystal”, Saratov Fall Meeting 2004: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling V, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 5773, 2005, 12–19  adsnasa  isi
    8. E. B. Terëshin, V. A. Trofimov, M. V. Fedotov, “Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a nonlinear photonic crystal with nonreflecting boundary conditions”, Comput. Math. Math. Phys., 46:1 (2006), 154–164  mathnet  crossref  mathscinet  zmath
    9. Trofimov V.A., Tereshin E.B., “Soliton self-formation in nonlinear photonic crystal - art. no. 625508”, ICONO 2005: Nonlinear Space-Time Dynamics, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 6255, 2006, 25508–25508  isi
    10. Trofimov V.A., Tereshin E.B., “Femtosecond laser pulse energy tunneling in the range of forbidden frequencies of a one-dimensional photonic crystal”, Technical Physics Letters, 33:4 (2007), 280–283  crossref  adsnasa  isi  elib  scopus
    11. Trofimov V.A., Tereshin E.B., “Tunneling of femtosecond pulse in PC band-gap - art. no. 653709”, Saratov Fall Meeting 2006: Laser Physics and Photonics, Spectroscopy and Molecular Modeling VII, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 6537, 2007, 53709–53709  isi
    12. Trofimov V.A., Tereshin E.B., “Localization of light energy of a femtosecond laser pulse upon generation of the second harmonic in a one-dimensional nonlinear photonic crystal with alternating nonlinear response”, Optics and Spectroscopy, 104:5 (2008), 737–743  crossref  adsnasa  isi  scopus
    13. Trofimov V.A., Lysak T.M., Matusevich O.V., Lan Sh., “Parameter Control of Optical Soliton in One-Dimensional Photonic Crystal”, Math Model Anal, 15:4 (2010), 517–532  crossref  mathscinet  zmath  isi  elib  scopus
    14. Trofimov V.A., Lysak T.M., Matusevich O.V., “Influence of Transverse Perturbation of Soliton Propagation Direction on Laser Radiation Evolution along the Layered Medium”, Photonic Crystal Fibers IV, Proceedings of SPIE-the International Society for Optical Engineering, 7714, 2010  isi
    15. Trofimov V.A., Lysak T.M., Lan Sh., “Multistable mode of second harmonic generation in photonic crystal with combined nonlinear response”, Optical Engineering, 50:8 (2011), 084201  crossref  adsnasa  isi  elib  scopus
    16. Trofimov V.A., Lysak T.M., Trykin E.M., “Aberrated Surface Soliton Formation in a Nonlinear 1 D and 2D Photonic Crystal”, PLoS One, 13:3 (2018), e0194632  crossref  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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