Abstract
The assumption that the illuminated region and the penumbra of a body scatter independently at high frequencies is used to obtain scattering coefficients for perfectly reflecting convex bodies in plane electromagnetic and sound waves. The formulae involve only the scattering coefficients of the circular cylinder and the geometry of the shadow boundary. One general result is that the electromagnetic scattering coefficient of a solid of revolution, when the direction of propagation of the incident wave is along the axis of revolution, is the average of the sound-hard and sound-soft scattering coefficients.
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