Utskrift från Malmö högskola - mah.se

# Resonance Spectrum For One-Dimensional Layered Media

Overview of item record
 Publication Conference Poster Title Resonance Spectrum For One-Dimensional Layered Media Author Date 2006 English abstract We consider the "weighted" operator $P_k=-\partial_x a(x)\partial_x$ on the line with a step-like coefficient which appears when propagation of waves thorough a finite slab of a periodic medium is studied. The medium is transparent at certain resonant frequencies which are related to the complex resonance spectrum of $P_k.$ If the coefficient is periodic on a finite interval (locally periodic) with $k$ identical cells then the resonance spectrum of $P_k$ has band structure. In the present paper we study a transition to semi-infinite medium by taking the limit $k\to \infty.$ The bands of resonances in the complex lower half plane are localized below the band spectrum of the corresponding periodic problem ($k=\infty$) with $k-1$ or $k$ resonances in each band. We prove that as $k\to \infty$ the resonance spectrum converges to the real axis. Link http://www.impa.br/opencms/pt/eventos/downloads/2006_ICMP/Poster_accept/iantchenko-a.pdf (external link to publication) Language eng (iso) Subject SciencesResearch Subject Categories::MATHEMATICSResearch Subject Categories::NATURAL SCIENCES Note Congresso Internacional de Física-Matemática IMPA, August 6-11 2006, R... (see Details for more) Handle http://hdl.handle.net/2043/11620 Permalink to this page Link http://www.impa.br/opencms/pt/eventos/downloads/2006_ICMP/Poster_accept/iantchenko-a.pdf (external link to related web page)
 Tweet