Eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide (Q1101892)

One proves the existence of the eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide. One gives a normalization of the eigenfunctions of the continuous spectrum relative to an indefinite inner product. One defines the concept of the ``genus'' of the multipliers of a Hamiltonian equation, corresponding to the continuous spectrum of the optical waveguide.