Variable permittivity dielectric material loaded stepped-horn antenna

tiTo determine the unknown coefficients 14„ multiply each side of (2.65) by and h,,, andintegrate over the waveguide cross section, resulting inUsing equations (2.67), (2.62) in the matrix format, leads to(2.68)(2.69)Since BA SA11AA, one can express BA as a function of A A in (2.68),From (2.70), the reflection matrix of aperture SA can be written aswhere I is a unit matrix of size NT x NT. The tapered section and the aperture are connectedthrough a uniform waveguide section of length Al, as shown in Figure 2.3.In the previous section, the generalized scattering matrix, ST, of the tapered sectionand diagonal matrix of last uniform waveguide section of the horn antenna were presentedusing mode matching technique. Combining ST and D with SA, the amplitudes of theincident and reflected modes in the aperture A A and BA, and the reflected modes at the