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Volumn 46, Issue 12, 2006, Pages 2154-2163

Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a photonic crystal with combined nonlinearity

Author keywords

Conservative finite difference scheme; Propagation invariants; Propagation of femtosecond pulses; Splitting method

Indexed keywords


EID: 33846161581     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: 10.1134/S096554250612013X     Document Type: Article
Times cited : (3)

References (24)
  • 1
    • 33846129237 scopus 로고    scopus 로고
    • US Patent, No. 367,443, March 3, 1992
    • J. Hait, US Patent, No. 367,443, March 3, 1992.
    • Hait, J.1
  • 3
    • 4244137916 scopus 로고
    • Optical Limiting and Switching of Ultrashort Pulses in Nonlinear Photonic Bandgap Materials
    • M. Scalora, F. P. Dawling, C. M. Bowden, and M. J. Blomer, "Optical Limiting and Switching of Ultrashort Pulses in Nonlinear Photonic Bandgap Materials," Phys. Rev. Lett. 73, 1368-1371 (1994).
    • (1994) Phys. Rev. Lett , vol.73 , pp. 1368-1371
    • Scalora, M.1    Dawling, F.P.2    Bowden, C.M.3    Blomer, M.J.4
  • 4
    • 2642578070 scopus 로고    scopus 로고
    • A Conservative Difference Scheme for the Problem of Two-Wave Interaction between Femtosecond Pulses in a Photonic Crystal
    • E. B. Tereshin, V. A. Trofimov, and M. V. Fedotov, "A Conservative Difference Scheme for the Problem of Two-Wave Interaction between Femtosecond Pulses in a Photonic Crystal," Zh. Vychisl. Mat. Mat. Fiz. 43, 1550-1555 (2003)
    • (2003) Zh. Vychisl. Mat. Mat. Fiz , vol.43 , pp. 1550-1555
    • Tereshin, E.B.1    Trofimov, V.A.2    Fedotov, M.V.3
  • 5
    • 33746044673 scopus 로고    scopus 로고
    • Comput
    • [Comput. Math. Math. Phys. 43, 1472-1477 (2003)].
    • (2003) Math. Phys , vol.43 , pp. 1472-1477
    • Math1
  • 6
    • 33750008599 scopus 로고    scopus 로고
    • Conservative Difference Schemes for Some Problems of Femtosecond Nonlinear Optics
    • A. G. Volkov, V. A. Trofimov, and E. B. Tereshin, "Conservative Difference Schemes for Some Problems of Femtosecond Nonlinear Optics," Differ. Uravn. 41, 908-917 (2005)
    • (2005) Differ. Uravn , vol.41 , pp. 908-917
    • Volkov, A.G.1    Trofimov, V.A.2    Tereshin, E.B.3
  • 7
    • 26044439045 scopus 로고    scopus 로고
    • [Differ. Equations 41, 953-962 (2005)].
    • (2005) Equations , vol.41 , pp. 953-962
  • 8
    • 0036488216 scopus 로고    scopus 로고
    • Spatiotemporal Solitons
    • F. Wise and P. Di Trapani, "Spatiotemporal Solitons," Opt. Photon. News 13 (2), 28-32 (2002).
    • (2002) Opt. Photon. News , vol.13 , Issue.2 , pp. 28-32
    • Wise, F.1    Di Trapani, P.2
  • 9
    • 0000259557 scopus 로고    scopus 로고
    • Generation of Optical Spatiotemporal Solitons
    • X. Liu, L. J. Qian, and F. W. Wise, "Generation of Optical Spatiotemporal Solitons," Phys. Rev. Lett. 82, 4631-4634 (1999).
    • (1999) Phys. Rev. Lett , vol.82 , pp. 4631-4634
    • Liu, X.1    Qian, L.J.2    Wise, F.W.3
  • 10
    • 0037886484 scopus 로고    scopus 로고
    • Bistability and Uniqueness of Solutions in the Problem of Second Harmonic Generation of Femtosecond Pulses
    • T. M. Lysak and V. A. Trofimov, "Bistability and Uniqueness of Solutions in the Problem of Second Harmonic Generation of Femtosecond Pulses," Zh. Vychisl. Mat. Mat. Fiz. 41, 1275-1288 (2001)
    • (2001) Zh. Vychisl. Mat. Mat. Fiz , vol.41 , pp. 1275-1288
    • Lysak, T.M.1    Trofimov, V.A.2
  • 11
    • 33645008877 scopus 로고    scopus 로고
    • Comput
    • [Comput. Math. Math. Phys. 41, 1214-1226 (2001)].
    • (2001) Math. Phys , vol.41 , pp. 1214-1226
    • Math1
  • 12
    • 0001149857 scopus 로고    scopus 로고
    • Stabilization of Dark and Vortex Parametric Spatial Solitons
    • T. J. Alexander, A. V. Buryak, and Yu. S. Kivshar, "Stabilization of Dark and Vortex Parametric Spatial Solitons," Opt. Lett. 23, 670-672 (1998).
    • (1998) Opt. Lett , vol.23 , pp. 670-672
    • Alexander, T.J.1    Buryak, A.V.2    Kivshar, Y.S.3
  • 13
    • 33746097550 scopus 로고    scopus 로고
    • Comparison of Various Difference Schemes for the Problem of Femtosecond Pulse Propagation in Nonlinear Layered Medium
    • Sweden, June, Uppsala
    • V. A. Trofimov and E. B. Tereshin, "Comparison of Various Difference Schemes for the Problem of Femtosecond Pulse Propagation in Nonlinear Layered Medium," Proceedings of CMMSE-2004 (Sweden, June, Uppsala, 2004), pp. 281-287.
    • (2004) Proceedings of CMMSE-2004 , pp. 281-287
    • Trofimov, V.A.1    Tereshin, E.B.2
  • 14
    • 33846146494 scopus 로고    scopus 로고
    • Conservative Finite-Difference Scheme for the Problem of Propagation of a Femtosecond Pulse in a Nonlinear Photonic Crystal with Nonreflecting Boundary Conditions
    • E. B. Tereshin, V. A. Trofimov, and 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," Zh. Vychisl. Mat. Mat. Fiz. 46, 161-171 (2006)
    • (2006) Zh. Vychisl. Mat. Mat. Fiz , vol.46 , pp. 161-171
    • Tereshin, E.B.1    Trofimov, V.A.2    Fedotov, M.V.3
  • 15
    • 33746034109 scopus 로고    scopus 로고
    • Comput
    • [Comput. Math. Math. Phys. 46, 154-164 (2006)].
    • (2006) Math. Phys , vol.46 , pp. 154-164
    • Math1
  • 16
    • 26044436137 scopus 로고    scopus 로고
    • Invariants of Femtosecond Pulse Propagation in Photonic Crystals
    • V. A. Trofimov, "Invariants of Femtosecond Pulse Propagation in Photonic Crystals," Zh. Vychisl. Mat. Mat. Fiz. 41, 1429-1433 (2001)
    • (2001) Zh. Vychisl. Mat. Mat. Fiz , vol.41 , pp. 1429-1433
    • Trofimov, V.A.1
  • 17
    • 25644456302 scopus 로고    scopus 로고
    • Comput
    • [Comput. Math. Math. Phys. 41, 1358-1362 (2001)].
    • (2001) Math. Phys , vol.41 , pp. 1358-1362
    • Math1
  • 18
    • 0038677394 scopus 로고    scopus 로고
    • V. A. Trofimov, E. B. Tereshin, and M. V. Fedotov, Analysis of Difference Schemes for the Problem of Self-Action of a Femtosecond Pulse in Photonic Crystal, Vestn. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 2, 20-26 (2003).
    • V. A. Trofimov, E. B. Tereshin, and M. V. Fedotov, "Analysis of Difference Schemes for the Problem of Self-Action of a Femtosecond Pulse in Photonic Crystal," Vestn. Mosk. Gos. Univ., Ser. 15: Vychisl. Mat. Kibern., No. 2, 20-26 (2003).
  • 19
    • 0042973847 scopus 로고    scopus 로고
    • M. D. Feit, J. A. Fleck, and Jr. A. Steiger, Solution of the Schrödinger Equation by a Spectral Method, J. Comput. Phys. 47, 412-433 (1982).
    • M. D. Feit, J. A. Fleck, and Jr. A. Steiger, "Solution of the Schrödinger Equation by a Spectral Method," J. Comput. Phys. 47, 412-433 (1982).
  • 20
    • 0016961851 scopus 로고
    • Time-Dependent Propagation of High Energy Laser Beams through the Atmosphere
    • J. A. Fleck, J. R. Morris, and M. D. Feit, "Time-Dependent Propagation of High Energy Laser Beams through the Atmosphere," Appl. Phys. 10 (2), 129-160 (1976).
    • (1976) Appl. Phys , vol.10 , Issue.2 , pp. 129-160
    • Fleck, J.A.1    Morris, J.R.2    Feit, M.D.3
  • 21
    • 33846123108 scopus 로고    scopus 로고
    • I. G. Zakharova, Yu. N. Karamzin, and V. A. Trofimov, Preprint No. 10, IPM AN SSSR (Inst. of Applied Mathematics, SSSR Academy of Sciences, Moscow, 1989).
    • I. G. Zakharova, Yu. N. Karamzin, and V. A. Trofimov, Preprint No. 10, IPM AN SSSR (Inst. of Applied Mathematics, SSSR Academy of Sciences, Moscow, 1989).
  • 22
    • 33846131059 scopus 로고
    • Codirectional Four-Wave Interaction under Conditions of Strong Energy Transfer between the Waves
    • A. P. Sukhorukov, V. N. Titov, and V. A. Trofimov, "Codirectional Four-Wave Interaction under Conditions of Strong Energy Transfer between the Waves," Opt. Atmos. Okeana 2, 1099-1106 (1989).
    • (1989) Opt. Atmos. Okeana , vol.2 , pp. 1099-1106
    • Sukhorukov, A.P.1    Titov, V.N.2    Trofimov, V.A.3
  • 23
    • 33744807467 scopus 로고    scopus 로고
    • An All-Optical Switch Based on a One-Dimensional Layered Structure with Defocusing Nonlinearity
    • V. A. Trofimov and E. B. Tereshin, "An All-Optical Switch Based on a One-Dimensional Layered Structure with Defocusing Nonlinearity," Opt. Spektrosk. 99, 996-1003 (2005)
    • (2005) Opt. Spektrosk , vol.99 , pp. 996-1003
    • Trofimov, V.A.1    Tereshin, E.B.2
  • 24
    • 33744807467 scopus 로고    scopus 로고
    • Opt
    • [Opt. Spectrosc. 99, 961-967 (2005)].
    • (2005) , vol.99 , Issue.961-967
    • Spectrosc1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.