The elastic scattering of the mass-less (${\mit\omega}^2 = c^2 k^2$) complex scalar field by a potential, $q[.]$, of bounded support is a prototype model which finds applications to acoustics and electromagnetics in a classical (i.e., non quantum mechanical) setting. Of particular interest are the symmetries of the scattered wave, $u[.]$ and of the quantities derived therefrom ($A[.]$, $|A[.]|^2$) caused by symmetry operations on $q[.]$, such as translation, rotation, reflection, and scaling. This investigation is motivated by the analysis of scattering patterns of environmental interest.
Crosta, G. (2013). Symmetries in Scalar Potential Scattering. In PIERS PROCEEDINGS - Progress In Electromagnetics Research Symposium (pp.826-827). Cambridge, MA 02138 : The Electromagnetics Academy.
Symmetries in Scalar Potential Scattering
CROSTA, GIOVANNI FRANCO FILIPPO
2013
Abstract
The elastic scattering of the mass-less (${\mit\omega}^2 = c^2 k^2$) complex scalar field by a potential, $q[.]$, of bounded support is a prototype model which finds applications to acoustics and electromagnetics in a classical (i.e., non quantum mechanical) setting. Of particular interest are the symmetries of the scattered wave, $u[.]$ and of the quantities derived therefrom ($A[.]$, $|A[.]|^2$) caused by symmetry operations on $q[.]$, such as translation, rotation, reflection, and scaling. This investigation is motivated by the analysis of scattering patterns of environmental interest.File | Dimensione | Formato | |
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