Variable permittivity dielectric material loaded stepped-horn antenna

28An electric vector potential F and magnetic scalar potential c1) are given by,(2.76)where 7-I' and r are respectively the vectors to the field and source points on the aperture, wis the angular frequency, ε 0 is the electric permittivity of the free space.Using (2.43), the admittance of half-space region isexpressed as,(2.77)If we expand the x and the y components of the electric vector potential and substitutemagnetic current expansion (2.39) in (2.76),(2.78)(2.79)(2.80)The magnetic charge and current are related through the continuity equation as(2.81)