Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 33

In Eqs. (3- 88) and (3 - 89) it was shown that for field calculations a polarized dielectric may be replaced by an equivalent polarization surface charge density p ps • and an equivalent polarization volume charge density P p • Find the boundary conditions at the interface of two different media for
a) the normal component of P,
b) the normal components of E in terms of free and equivalent polarization surface charge densities p s , and P ps •