A uniform plane wave with electric field intensity Ei= azEi impinges on a small dielectric sphere of radius b (<<λ) and dielectric constant εr.
a) Find the total time-average power scattered by the sphere.
b) Obtain the expression for the total scattering cross section σs, which is the ratio of the total scattered power to the incident power density. Compare σs with the back- scatter cross section σbs.
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