Name
Title | ||
|---|---|---|
On the Spectrum of an Operator Pencil with Applications to Wave Propagation in Periodic and Frequency Dependent Materials |
Abstract | ||
|---|---|---|
We study wave propagation in periodic and frequency dependent materials when the medium in a frequency interval is characterized by a real-valued permittivity. The spectral parameter relates to the quasi momentum, which leads to spectral analysis of a quadratic operator pencil where frequency is a parameter. We show that the underlying operator has a discrete spectrum, where the eigenvalues are symmetrically placed with respect to the real and imaginary axis. Moreover, we discretize the operator pencil with finite elements and use a Krylov space method to compute eigenvalues of the resulting large sparse matrix pencil. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/080728779 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
periodic structure,band-gap,Bloch wave,quadratic eigenvalue,gyroscopic,operator pencil | Bloch wave,Mathematical optimization,Matrix pencil,Wave propagation,Mathematical analysis,Complex plane,Pencil (mathematics),Operator (computer programming),Periodic graph (geometry),Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
70 | 1 | 0036-1399 |
Citations | PageRank | References |
3 | 0.48 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christian Engström | 1 | 13 | 4.97 |
| Markus Richter | 2 | 7 | 1.13 |