Scattering by Large Particles The Extinction Paradox

For particles much larger than the wavelength of the incident light (x 1), the scattering efficiency approaches 2. That is, a targe particle removes from the beam twice the amount of light intercepted by its geometric cross-sectional area. What is the explanation for this paradox  

The intensity distribution within the diffraction pattern depends on the shape of the perimeter and size of the particle relative to the wavelength of the light. It is independent of the composition, refractive index, or reflective nature of the surface. The total amount of energy that appears in the diffraction pattern is equal to the energy in the beam intercepted by the geometric cross section of the particle. Hence the total efficiency factor based on the cross-sectional area is equal to 2. 

---