𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The scattering of a plane wave by a trap in the critical case

✍ Scribed by R.R. Gadyl'shin

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
692 KB
Volume
66
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

✦ Synopsis

The scattering of a plane wave by a resonator with a narrow coupling channel is considered. The velocity potential of the scattered wave in this resonator has two series of poles with small imaginary parts, corresponding to the main trap and the coupling channel, the effect of which inside the trap differs by an order of magnitude. The critical case, when the limiting value for the poles from both series is the same, is investigated. It is shown that in this case two poles exist, which converge to this limiting value, and they both inherit resonance properties, characteristic for poles generated by the main trap. The principal terms of the asymptotic forms of the poles and the scattered wave are constructed.

πŸ“œ SIMILAR VOLUMES

The scattering of plane elastic waves by
The scattering of plane elastic waves by a one-dimensional periodic surface
✍ T. Arens πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 158 KB πŸ‘ 2 views

The two-dimensional scattering problem for time-harmonic plane waves in an isotropic elastic medium and an effectively infinite periodic surface is considered. A radiation condition for quasi-periodic solutions similar to the condition utilized in the scattering of acoustic waves by one-dimensional

Scattering of a plane harmonic SH wave b
Scattering of a plane harmonic SH wave by a completely embedded corrugated scatterer
✍ Chih-Wei Yu; Marijan Dravinski πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 217 KB

## Abstract Anti‐plane‐strain model for steady‐state scattering of elastic waves by a rough inclusion or a cavity embedded in a half space is considered by using a direct boundary integral equation method. The roughness of the scatterer is assumed to be periodic with arbitrary amplitude and period.