Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 82

A uniform plane wave with electric field intensity E i = a z E i impinges on a small dielectric sphere of radius b ( ) and dielectric constant r.
a) Find the total time-average power scattered by the sphere.
b) Obtain the expression for the total scattering cross section s , which is the ratio of the total scattered power to the incident power density. Compare s with the back- scatter cross section bs.