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

#### 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.
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complex massless scalar field; potential scattering; translation; rotation; Born sequence
English
Progress In Electromagnetics Research Symposium
20-set-2013
http://piers.org/piersproceedings/piers2013Stockholm.php - 130310061936_abstract
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.
Crosta, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/48007