Geodesic
The effect of thin coatings on second harmonic generation
Electronic journal of differential equations, Tome 1999 (1999)
The effect of thin coatings of nonlinear material on second harmonic generation is studied in this paper. Asymptotic expansions of the fields inside a thin nonlinear coating are performed. The convergence of these formal expansions is established. Our asymptotic analysis reveals the physical nature of this nonlinear problem. It also provides an effective method for overcoming the computational difficulties that arise in thin nonlinear coatings.
Classification : 35C20, 78A45, 78A60
Keywords: thin coatings, second harmonic generation, asymptotic analysis 
@article{EJDE_1999__1999__a91,
     author = {Ammari,  Habib and Bao,  Gang and Hamdache,  Kamel},
     title = {The effect of thin coatings on second harmonic generation},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0928.35172},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a91/}
}
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%V 1999
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%F EJDE_1999__1999__a91
Ammari,  Habib; Bao,  Gang; Hamdache,  Kamel. The effect of thin coatings on second harmonic generation. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a91/