It is shown analytically and numerically that a matched epsilon=µ reciprocal object with rotational symmetry will not produce any backscattering when illuminated along the axis of symmetry unless the body is invariant under a rotation by 180°. The purpose of this work is to generalize the monostatic theorem of Weston to arbitrary rotational symmetry, thereby providing a basic rule for scattering by complex bodies. The theory is illustrated by application to a few selected scatterers.
© 2005 Optical Society of America
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(260.5430) Physical optics : Polarization
(290.0290) Scattering : Scattering
(290.1350) Scattering : Backscattering
Cesar Monzon, Louis N. Medgyesi-Mitschang, and Donald W. Forester, "Effect of rotational invariance on the monostatic characteristics of matched bodies," J. Opt. Soc. Am. A 22, 1035-1041 (2005)