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Eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide - MaRDI portal

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

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scientific article; zbMATH DE number 4048237
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Eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide
scientific article; zbMATH DE number 4048237

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    Eigenfunctions of the continuous spectrum of a two-dimensional periodic optical waveguide (English)
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    1986
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    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.
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    existence
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    eigenfunctions
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    continuous spectrum
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    periodic optical waveguide
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    indefinite inner product
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    multipliers
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    Hamiltonian equation
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