• Corpus ID: 119564377

Application of canonical Hamiltonian formulation to nonlinear light-envelope propagations

  title={Application of canonical Hamiltonian formulation to nonlinear light-envelope propagations},
  author={Guo Liang and Qi Guo},
  journal={arXiv: Pattern Formation and Solitons},
  • Guo LiangQ. Guo
  • Published 4 January 2014
  • Physics, Mathematics
  • arXiv: Pattern Formation and Solitons
We first point out it is conditional to apply the variational approach to the nonlocal nonlinear Schr\"{o}dinger equation (NNLSE), that is, the response function must be an even function. Different from the variational approach, the canonical Hamiltonian formulation for the first-order differential system are used to deal with the problems of the nonlinear light-envelope propagations. The Hamiltonian of the system modeled by the NNLSE is obtained, which can be expressed as the sum of the… 

Figures from this paper



Nonlinear optics.

In this method, non-linear susceptibility tensors are introduced which relate the induced dipole moment to a power series expansion in field strengths and the various experimental observations are described and interpreted in terms of this formalism.

Nonlinear Fiber Optics

Nonlinear fiber optics concerns with the nonlinear optical phenomena occurring inside optical fibers. Although the field ofnonlinear optics traces its beginning to 1961, when a ruby laser was first

Progress in optics

  • K. Stetson
  • Physics
    IEEE Journal of Quantum Electronics
  • 1980
Have you ever felt that the very title, Progress in Optics, conjured an image in your mind? Don’t you see a row of handsomely printed books, bearing the editorial stamp of one of the most brilliant

Physica D 65

  • 154
  • 1993

) . [ 7 ] D . Anderson

    where P s is the soliton power, and λ is the propagation constant of solitons. According to the VK criterion

      Science 276

      • 1538
      • 1997


      • Quantum Electron. 16, 783
      • 1975