Rapidly convergent quasi-periodic Green function throughout the spectrum---including Wood anomalies

Oscar P. Bruno and Bérangère Delourme
submitted
Publication type:
Research report
Abstract:
This work deals with the scattering of acoustic waves from one dimensional rough surfaces. We build a second kind integral equation that works at the Wood anomalies and is numerically efficient. The main idea is the use of a new periodic green function that quickly converges both at the Wood anomalies and away from them. We prove some theoretical results of well-posedness and we show numerical experiments that confirm the relevance of our method.
BibTeX:
@techreport{Bru-Del-2200,
    author={Oscar P. Bruno and Bérangère Delourme },
    title={Rapidly convergent quasi-periodic Green function throughout 
           the spectrum---including Wood anomalies },
    year={submitted },
}