Invariants of femtosecond pulse propagation in photonic crystals. (Q1395223)
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scientific article; zbMATH DE number 1940611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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