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Volumn 17, Issue 1-4, 2002, Pages 351-364

Computation of Nonlinear Backscattering Using a High-order Numerical Method

Author keywords

Fourth order method; Kerr medium; Self focusing; Two way ABCs; Wave propagation

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; ELECTROMAGNETIC WAVE PROPAGATION; LASER BEAMS; NONLINEAR EQUATIONS; OPTICAL KERR EFFECT;

EID: 0005290307     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1015181404953     Document Type: Conference Paper
Times cited : (13)

References (12)
  • 1
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    • Akhmediev, N., Ankiewicz, A., and Soto-Crespo, J. M. (1993). Does the nonlinear Schrödinger equation correctly describe beam propagation?. Opt. Lett. 18, 411-413.
    • (1993) Opt. Lett. , vol.18 , pp. 411-413
    • Akhmediev, N.1    Ankiewicz, A.2    Soto-Crespo, J.M.3
  • 2
    • 0000056622 scopus 로고
    • Generation of a train of three-dimensional optical solitons in a self-focusing medium
    • Akhmediev, N., and Soto-Crespo, J. M. (1993). Generation of a train of three-dimensional optical solitons in a self-focusing medium. Phys. Rev. A 47, 1358-1364.
    • (1993) Phys. Rev. A , vol.47 , pp. 1358-1364
    • Akhmediev, N.1    Soto-Crespo, J.M.2
  • 4
    • 84975565826 scopus 로고
    • Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams
    • Feit, M. D., and Fleck, J. A. (1988). Beam nonparaxiality, filament formation, and beam breakup in the self-focusing of optical beams. J. Opt. Soc. Am. B 5, 633-640.
    • (1988) J. Opt. Soc. Am. B , vol.5 , pp. 633-640
    • Feit, M.D.1    Fleck, J.A.2
  • 5
    • 0030567602 scopus 로고    scopus 로고
    • Small beam nonparaxiality arrests self-focusing of optical beams
    • Fibich, G. (1996). Small beam nonparaxiality arrests self-focusing of optical beams. Phys. Rev. Lett. 76, 4356-4359.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4356-4359
    • Fibich, G.1
  • 6
    • 0342647291 scopus 로고    scopus 로고
    • Self-Focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension
    • Fibich, G., and Papanicolaou, G. C. (1999). Self-Focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimension. SIAM J. Appl. Math. 60, 183-240.
    • (1999) SIAM J. Appl. Math. , vol.60 , pp. 183-240
    • Fibich, G.1    Papanicolaou, G.C.2
  • 7
    • 0005249573 scopus 로고    scopus 로고
    • High-order two-way artificial boundary conditions for nonlinear wave propagation with backscattering
    • Fibich, G., and Tsynkov, S. V. (2001). High-order two-way artificial boundary conditions for nonlinear wave propagation with backscattering. J. Comput. Phys. 171, 632-677.
    • (2001) J. Comput. Phys. , vol.171 , pp. 632-677
    • Fibich, G.1    Tsynkov, S.V.2
  • 10
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains
    • Tsynkov, S. V. (1998). Numerical solution of problems on unbounded domains. A review. Appl. Numer. Math. 27, 465-532.
    • (1998) A Review. Appl. Numer. Math. , vol.27 , pp. 465-532
    • Tsynkov, S.V.1
  • 11
    • 0041473959 scopus 로고
    • Nonlinear Schrödinger equations and sharp interpolation estimates
    • Weinstein, M. I. (1983). Nonlinear Schrödinger equations and sharp interpolation estimates. Comm. Math. Phys. 87, 567-576.
    • (1983) Comm. Math. Phys. , vol.87 , pp. 567-576
    • Weinstein, M.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.