A plane wave is scattered by a potential of bounded support. Translation, rotation and reflection of the potential, q0 induce symmetries on the scattered wave. The latter is represented by a Born sequence, where the reference potential, q0, appears. The result is applied to derive invariance of the scattering magnitude to finite translation and reflection. Conditions on the entries of an \almost SO(3)" matrix are derived, which induce symmetries of the scattering amplitude by the first Born approximation.

Crosta, G. (2014). Symmetries in scalar potential scattering. In S. Barmada, K. Sertel, W. O’Keefe Coburn, S.J. Weiss, A.I. Zaghloul (a cura di), 30th Annual Review of Progress in Applied Computational Electromagnetics (pp. 556-561). Jacksonville, FL : Applied Computational Electromagnetics Society (ACES).

Symmetries in scalar potential scattering

Crosta, GFF
2014

Abstract

A plane wave is scattered by a potential of bounded support. Translation, rotation and reflection of the potential, q0 induce symmetries on the scattered wave. The latter is represented by a Born sequence, where the reference potential, q0, appears. The result is applied to derive invariance of the scattering magnitude to finite translation and reflection. Conditions on the entries of an \almost SO(3)" matrix are derived, which induce symmetries of the scattering amplitude by the first Born approximation.
Capitolo o saggio
Potential scattering; scalar theory; translation symmetry; rotation symmetry; Born sequence; scattering magnitude; false symmetries
English
30th Annual Review of Progress in Applied Computational Electromagnetics
Barmada, S; Sertel, K; O’Keefe Coburn, W; Weiss, SJ; Zaghloul, AI
2014
9781632666789
2014-
Applied Computational Electromagnetics Society (ACES)
556
561
Crosta, G. (2014). Symmetries in scalar potential scattering. In S. Barmada, K. Sertel, W. O’Keefe Coburn, S.J. Weiss, A.I. Zaghloul (a cura di), 30th Annual Review of Progress in Applied Computational Electromagnetics (pp. 556-561). Jacksonville, FL : Applied Computational Electromagnetics Society (ACES).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/52400
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