메뉴 건너뛰기




Volumn 213, Issue 2, 2006, Pages 823-843

Numerical methods for the bidimensional Maxwell-Bloch equations in nonlinear crystals

Author keywords

Harmonic generation; Nonlinear optical crystal; Nonlinear optics; Numerical schemes; Quantum description of light and matter

Indexed keywords

FINITE DIFFERENCE TIME DOMAIN METHOD; MAXWELL EQUATIONS; NONLINEAR OPTICS; NUMERICAL METHODS; ULTRASHORT PULSES; WAVE PROPAGATION;

EID: 32644453702     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.09.003     Document Type: Article
Times cited : (21)

References (20)
  • 1
    • 2342660188 scopus 로고    scopus 로고
    • A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: An application to KDP
    • C. Besse B. Bidégaray A. Bourgeade P. Degond O. Saut A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: An application to KDP M2AN Math. Model. Numer. Anal. 38 2 2004 321-344
    • (2004) M2AN Math. Model. Numer. Anal. , vol.38 , Issue.2 , pp. 321-344
    • Besse, C.1    Bidégaray, B.2    Bourgeade, A.3    Degond, P.4    Saut, O.5
  • 2
    • 85190249776 scopus 로고    scopus 로고
    • Comparison between the Maxwell-Bloch and two nonlinear Maxwell models for ultrashort pulses propagation in nonlinear crystals
    • submitted for publication
    • A. Bourgeade, O. Saut, Comparison between the Maxwell-Bloch and two nonlinear Maxwell models for ultrashort pulses propagation in nonlinear crystals (2004) submitted for publication.
    • (2004)
    • Bourgeade, A.1    Saut, O.2
  • 3
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • K.S. Yee Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media IEEE Trans. Antennas Propag. AP-14 1966 302-307
    • (1966) IEEE Trans. Antennas Propag. , vol.AP-14 , pp. 302-307
    • Yee, K.S.1
  • 4
    • 21344434203 scopus 로고    scopus 로고
    • Bidimensional study of the Maxwell-Bloch model in a nonlinear crystal
    • submitted for publication
    • O. Saut, Bidimensional study of the Maxwell-Bloch model in a nonlinear crystal (2004) submitted for publication.
    • (2004)
    • Saut, O.1
  • 5
    • 84975581904 scopus 로고
    • Numerical calculation of optical frequency-conversion processes: A new approach
    • H. Bakker P. Planken H. Muller Numerical calculation of optical frequency-conversion processes: A new approach J. Opt. Soc. Am. B 6 9 1989 1665-1672
    • (1989) J. Opt. Soc. Am. B , vol.6 , Issue.9 , pp. 1665-1672
    • Bakker, H.1    Planken, P.2    Muller, H.3
  • 6
    • 0031103140 scopus 로고    scopus 로고
    • Second-harmonic generation under phase-velocity and group-velocity mismatch: Influence of cascading self-phase and cross-phase modulation
    • R. Maleck Rassoul A. Ivanov E. Freysz A. Ducasse F. Hache Second-harmonic generation under phase-velocity and group-velocity mismatch: Influence of cascading self-phase and cross-phase modulation Opt. Lett. 22 5 1997 268-270
    • (1997) Opt. Lett. , vol.22 , Issue.5 , pp. 268-270
    • Maleck Rassoul, R.1    Ivanov, A.2    Freysz, E.3    Ducasse, A.4    Hache, F.5
  • 8
    • 0034387726 scopus 로고    scopus 로고
    • Computational modeling of second-harmonic generation by solution of full-wave vector Maxwell equations
    • A. Bourgeade E. Freysz Computational modeling of second-harmonic generation by solution of full-wave vector Maxwell equations J. Opt.Soc. Am. B 17 2 2000 226-234
    • (2000) J. Opt.Soc. Am. B , vol.17 , Issue.2 , pp. 226-234
    • Bourgeade, A.1    Freysz, E.2
  • 9
    • 2342558800 scopus 로고    scopus 로고
    • Computational modeling of ultrashort powerful laser pulses in an anisotropic crystal
    • O. Saut Computational modeling of ultrashort powerful laser pulses in an anisotropic crystal J. Comput. Phys. 197 2 2004 624-646
    • (2004) J. Comput. Phys. , vol.197 , Issue.2 , pp. 624-646
    • Saut, O.1
  • 10
    • 0031164957 scopus 로고    scopus 로고
    • The PSTD algorithm: A time-domain method requiring only two cells per wavelength
    • Q. Liu The PSTD algorithm: A time-domain method requiring only two cells per wavelength Microwave Opt. Technol. Lett. 15 1997 158-165
    • (1997) Microwave Opt. Technol. Lett. , vol.15 , pp. 158-165
    • Liu, Q.1
  • 13
    • 2342467604 scopus 로고    scopus 로고
    • Étude numérique des nonlinéarités d'un cristal par résolution des équations de Maxwell-Bloch
    • Ph.D. thesis, INSA Toulouse
    • O. Saut, Étude numérique des nonlinéarités d'un cristal par résolution des équations de Maxwell-Bloch, Ph.D. thesis, INSA Toulouse, 2003.
    • (2003)
    • Saut, O.1
  • 16
    • 0347708725 scopus 로고    scopus 로고
    • Introducing physical relaxation terms in Bloch equations
    • B. Bidégaray A. Bourgeade D. Reignier Introducing physical relaxation terms in Bloch equations J. Comput. Phys. 170 2 2001 603-613
    • (2001) J. Comput. Phys. , vol.170 , Issue.2 , pp. 603-613
    • Bidégaray, B.1    Bourgeade, A.2    Reignier, D.3
  • 17
    • 0000702679 scopus 로고
    • Ultrafast pulse interactions with two-level atoms
    • R.W. Ziolkowski J.M. Arnold D.M. Gogny Ultrafast pulse interactions with two-level atoms Phys. Rev. A 52 4 1995 3082-3094
    • (1995) Phys. Rev. A , vol.52 , Issue.4 , pp. 3082-3094
    • Ziolkowski, R.W.1    Arnold, J.M.2    Gogny, D.M.3
  • 18
    • 85190242833 scopus 로고    scopus 로고
    • Une méthode spectrale pour les équations de Maxwell-Bloch bidimensionnelles dans les cristaux non-linéaires
    • O. Saut, Une méthode spectrale pour les équations de Maxwell-Bloch bidimensionnelles dans les cristaux non-lineacute;aires, C.R. Acad. Sci. Paris Sér. I Mathématiques 304 (2005).
    • (2005) C.R. Acad. Sci. Paris Sér. I Mathématiques , vol.304
    • Saut, O.1
  • 19
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • J.-P. Berenger A perfectly matched layer for the absorption of electromagnetic waves J. Comput. Phys. 114 2 1994 185-200
    • (1994) J. Comput. Phys. , vol.114 , Issue.2 , pp. 185-200
    • Berenger, J.-P.1
  • 20
    • 0030547286 scopus 로고
    • Effects of cubic nonlinearity on frequency doubling of high-power laser pulses
    • D.E.T. Ditmire A.M. Rubenchik M. Perry Effects of cubic nonlinearity on frequency doubling of high-power laser pulses J. Opt. Soc. Am. B 13 4 1995 649-655
    • (1995) J. Opt. Soc. Am. B , vol.13 , Issue.4 , pp. 649-655
    • Ditmire, D.E.T.1    Rubenchik, A.M.2    Perry, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.