Diffraction at a Curved Grating: TM and TE Cases, Homogenization

✍ Scribed by Toufic Abboud; Habib Ammari

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 308 KB
• Volume: 202
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1996.0357

✦ Synopsis

A hierarchy of effective boundary conditions is derived for a Helmholtz equation with Dirichlet or Neumann boundary conditions. These generalized impedance boundary conditions approximate the effect of thin dielectric layers with perfectly conducting inclusions covering an object. Well-posedness of the problems with these new boundary conditions is proved and optimal error estimates are given.