Boundary behaviour of modes of a Dirichlet Laplacian

@article{Kouznetsov2004BoundaryBO,
  title={Boundary behaviour of modes of a Dirichlet Laplacian},
  author={D. Kouznetsov and J. V. Moloney},
  journal={Journal of Modern Optics},
  year={2004},
  volume={51},
  pages={1955 - 1962}
}
  • D. Kouznetsov, J. V. Moloney
  • Published 2004
  • Physics
  • Journal of Modern Optics
  • Abstract The problem of uncoupled modes of the pump in a double-clad fibre amplifier is analysed. As long as such modes avoid the core of the fibre, we consider the Dirichlet Laplacian problem which neglects the core. In this approach, the boundary of the cladding is treated as an ideal mirror. The laws of conservation established for the paraxial equation of diffraction give certain integral relations for the derivatives of modes at the boundary. Such relations are formulated as theorems… CONTINUE READING
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