Chapter 12, Problem 12.19P

You are given Four slabs of lossless dielectric, all with the same intrinsic impedance, $\eta$, known to be different from that of free space. The thickness of each slab is. $\lambda /4$, where $\lambda$, is the wavelength as measured in the slab material. The slabs are to be positioned parallel to one another, and the combination lies in the path of a uniform plane wave, normally incident. The slabs are to be arranged such that the airspaces between them are either zero, one-quarter wavelength or one-half wavelength in thickness. Specify an arrangement of slabs and airspaces such that (a) the wave is totally transmitted through the atack, and (b) the stack presents the highest reflectivity to the incident wave. Several answers may exist.