Habib Ammari, Gang Bao, & Kamel Hamdache
Abstract:
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.
Submitted May 30, 1999. Published September 20, 1999.
Math Subject Classifications: 35C20, 78A45, 78A60.
Key Words: Thin coatings, second harmonic generation, asymptotic analysis.
Show me the PDF file (142K), TEX file, and other files for this article.
Gang Bao
Department of Mathematics, Michigan State University
East Lansing, MI 48824-1027
e-mail address: bao@math.msu.edu
Kamel Hamdache
Institut Galilee, UMR CNRS 7539, Universite de Paris XIII
93430 Villetaneuse, France
e-mail address: hamdache@cmapx.polytechnique.fr