Analysis of thin coatings of nonlinear diffraction gratings (Q1863644)
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scientific article; zbMATH DE number 1880131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of thin coatings of nonlinear diffraction gratings |
scientific article; zbMATH DE number 1880131 |
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Analysis of thin coatings of nonlinear diffraction gratings (English)
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11 March 2003
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The paper analyzes the effects of nonlinear thin coatings on diffraction gratings, where attention is restricted to second-order nonlinear effects. It is a continuation of the authors' earlier work [Elec. J. Differ. Equ. 1999, Paper No. 36 (1999; Zbl 0928.35172)] on the one-dimensional version of the nonlinear model. In the present paper the model problem becomes a system of nonlinear PDEs. The authors derive a formal asymptotic expansion of the fields in the nonlinear coating and establish its convergence.
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thin coating
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diffraction grating
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second harmonic generation
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asymptotic analysis
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