(ECE540) If the dielectric constant of the material that is used to construct a dielectric rodwave guide is very large (typically 30 or greater), a good approximation to the boundary

conditions is to represent the surface as a perfect magnetic conductor (PMC); see Section 9.5.2.in Balanis. For a PMC surface, the tangential components of the magnetic field vanish. Based on such a model for a rectangular cross-section cylindrical dielectric wave guide and TEz modes,perform the following tasks. (a) Write all the boundary conditions on the electric and magnetic fields that must be enforced. (b) Derive simplified expressions for the vector potential component, the electric and magnetic fields, and the cutoff frequencies.