Back to Search
Start Over
THE SCATTERING PHASE: SEEN AT LAST.
- Source :
-
SIAM Journal on Applied Mathematics . 2024, Vol. 84 Issue 1, p246-261. 16p. - Publication Year :
- 2024
-
Abstract
- The scattering phase, defined as log detS(\lambda)/2\pi i where S(\lambda) is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when dealing with exterior domains and is closely related to Kre\u {\i}n's spectral shift function. We revisit classical results on asymptotics of the scattering phase and point out that it is never monotone in the case of strong trapping of waves. Perhaps more importantly, we provide the first numerical calculations of scattering phases for nonradial scatterers. They show that the asymptotic Weyl law is accurate even at low frequencies and reveal effects of trapping such as lack of monotonicity. This is achieved by using the recent high level multiphysics finite element software FreeFEM. [ABSTRACT FROM AUTHOR]
- Subjects :
- *S-matrix theory
*NUMERICAL calculations
*EIGENVALUES
*SCATTERING (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 00361399
- Volume :
- 84
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 175928522
- Full Text :
- https://doi.org/10.1137/23M1547147