Are Incident Waves Split into Symmetrieal and Antisymmetrical Scattering Wave Systems with Equal Energy by Two Dimensional Obstacles?

Abstract

Kato et al. reported that a wave height of a symmetrical component and an antisymmetrical component of scattered waves is exactly one half of that of incident waves, that is, "equally energy splitting law", and that in two dimensional diffraction problems this law does not require symmetry of a body geometry. It gives us valuable information as an invariant property. In the present note, however, we show that it is invalid in the case of an asymmetrical body, although it is reviewed as valid by Kan.