Analysis of thin coatings of nonlinear diffraction gratings
type: Item
instance of: scholarly article
title: Analysis of thin coatings of nonlinear diffraction gratings
zbMATH Open document ID: 1029.78014
DOI: 10.1016/S1468-1218(01)00044-X
author: Gang Bao
author: Habib Ammari
author: Kamel Hamdache
published in: Nonlinear Analysis. Real World Applications
publication date: 2003-03-11T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 78M35
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A60
zbMATH DE Number: 1880131
zbMATH Keywords: thin coating
zbMATH Keywords: diffraction grating
zbMATH Keywords: second harmonic generation
zbMATH Keywords: asymptotic analysis
reviewed by: Johannes Elschner
MaRDI profile type: Publication
cites work: Q4073917
cites work: Q4264770
cites work: Q5635885
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full work available at URL: s1468-1218(01)00044-x
OpenAlex ID: W1967706336
description: scientific article; zbMATH DE number 1880131