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Invariants of femtosecond pulse propagation in photonic crystals. - MaRDI portal

Invariants of femtosecond pulse propagation in photonic crystals. (Q1395223)

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scientific article; zbMATH DE number 1940611
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Invariants of femtosecond pulse propagation in photonic crystals.
scientific article; zbMATH DE number 1940611

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    Invariants of femtosecond pulse propagation in photonic crystals. (English)
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    29 June 2003
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    The author proposes invariants of femtosecond pulse propagation in photonic crystals. The process is described by the nonlinear Schrödinger equations with a periodically varying refractive index taken into account. The invariants written out in the paper can be used to design conservative finite-difference schemes, to obtain a priori estimates for solutions to the original equations, and to find their soliton solutions.
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    laser radiation
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    invariants
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    interactions
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    photonic crystal
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    femtosecond pulse propagation
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    Schrödinger equations
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    finite-difference schemes
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