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Effect of rotational invariance on the monostatic characteristics of matched bodies

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Abstract

It is shown analytically and numerically that a matched ε=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

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