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

2014

Publication type:

Research report

HAL:

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-2014,
    author={Oscar P. Bruno and Bérangère Delourme },
    title={Rapidly convergent quasi-periodic Green function throughout 
           the spectrum---including Wood anomalies },
    year={2014 },
}