Input Impedance of Arbitrarily Oriented Hertz Dipole with Infinite Sized Plane or Corner Screens

Analytic expressions for the active and reactive components of the total and induced input impedances of a Hertz dipole are obtained for three mutually orthogonal orientations of the dipole’s axis relative to the metal plane or corner screens of infinite dimensions with an aperture angle of $\beta=\pi / N$. The formulas are obtained on the base of the methods of mirror images and induced electromotive forces (IEMF). The dependences of all quantities on the distance between the dipole and the screens are calculated. The active components of the input impedances are compared with the radiation resistance calculated using rigorous formulas on base of the Poynting vector integration. The errors in calculations of impedance of tilted dipole using the IEMF method estimated.