A rectangular waveguide is defined as an infinitely long region of rectangular cross-section, filled by a homogeneous lossless dielectric and surrounded by a perfectly conducting wall (see Figure 7.4...

A rectangular waveguide is defined as an infinitely long region of rectangular cross-section, filled by a homogeneous lossless dielectric and surrounded by a perfectly conducting wall (see Figure 7.4 in Chapter 7). Imagine a structure which consists of two identical waveguides, one above the other (i.e., 0 ≤ x ≤ a, −∞ <>

Calculate the current densities of the induction theorem on both apertures. What are the consequences which one should expect from this result, for the induced field in region 2 ?