Numerical solution of the Maxwell equations in nonlinear media

被引:0
|
作者
Miano, G
Serpico, C
Verolino, L
Villone, F
机构
关键词
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper some aspects concerning the finite element solution of the electromagnetic propagation in nonlinear media are studied through complementary formulations of the Maxwell equations. Nonlinear hyperbolic equations generate discontinuous solutions even if the initial and boundary conditions are regular. The numerical solution definitively breaks and the Galerkin method does not converge any more after the time at which a sharp discontinuity is developed. The sharpening of the solution is related to the loss of its uniqueness.
引用
收藏
页码:950 / 953
页数:4
相关论文
共 50 条
  • [1] Nonlinear Maxwell Equations in Inhomogeneous Media
    Anatoli Babin
    Alexander Figotin
    Communications in Mathematical Physics, 2003, 241 : 519 - 581
  • [2] Nonlinear maxwell equations in inhomogeneous media
    Babin, A
    Figotin, A
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 241 (2-3) : 519 - 581
  • [3] Numerical solution of Maxwell's equations for anisotropic media using the Laguerre transform
    Mastryukov, A. F.
    Mikhailenko, B. G.
    RUSSIAN GEOLOGY AND GEOPHYSICS, 2008, 49 (08) : 621 - 627
  • [4] A centrally symmetric exact solution of the Maxwell's equations in logarithmically nonlinear media
    Yu, Guozhu
    Zhao, Dazhi
    OPTIK, 2017, 131 : 1016 - 1022
  • [5] Numerical solution of nonlinear wave equations in stratified dispersive media
    Karle, Ch.
    Schweitzer, J.
    Hochbruck, M.
    Laedke, E. W.
    Spatschek, K. H.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 216 (01) : 138 - 152
  • [6] Factorization of nonlinear Maxwell equations in periodic media
    Bonod, N
    Popov, E
    Nevière, M
    PHYSICS, THEORY, AND APPLICATIONS OF PERIODIC STRUCTURES IN OPTICS II, 2003, 5184 : 134 - 140
  • [7] Multiscale numerical method for nonlinear Maxwell equations
    Colin, T
    Nkonga, B
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2005, 5 (03): : 631 - 658
  • [8] Numerical integration of Maxwell's full-vector equations in nonlinear focusing media
    Bennett, PM
    Aceves, A
    PHYSICA D-NONLINEAR PHENOMENA, 2003, 184 (1-4) : 352 - 375
  • [9] Numerical solution of the coupled Dirac and Maxwell equations
    Shebalin, JV
    PHYSICS LETTERS A, 1997, 226 (1-2) : 1 - 6
  • [10] Numerical solution of the coupled Dirac and Maxwell equations
    Natl. Aero. and Space Administration, Langley Research Center, Hampton, VA 23681, United States
    Phys Lett Sect A Gen At Solid State Phys, 1-2 (1-6):