Abstract :
The radiation from capacitive and inductive strips is calculated in terms of arbitrary currents flowing on the strip surfaces. By requiring the tangential component of the sum of an incident field and the radiated field to vanish at the surface of the strip, an integral equation for the currents is obtained. This integral equation is solved by a transformation of variables due to Schwinger. The integrals involved in the final solution are given in terms of standard elliptic integrals. The following generalizations of the well-known quasi-static formulae for symmetrically located strips are obtained: (a) Capacitive strip of width D, centre x0 from waveguide side; waveguide dimensions a × b (see Fig. 1). Susceptance B=4b/¿g log ¿(ß)/(1+s)¿(0) where cn ß = c/(1+s) c = cos(¿x0/b) sin(¿¿D/b). s = sin(¿x0/b) cos(¿¿D/b). The modulus of the elliptic functions is [4s/(1+s)2¿c2]¿ (b) inductive strip of width D, centre Y0 from waveguide side; waveguide dimensions a × b (see Fig. 2). Reactance X= a/¿g[¿1+K cosec2 (¿y0/a)/2E ¿ K sin2 (¿¿ D/a)] The modulus of the elliptic functions is [1 ¿ sin2 (¿¿ D/a) cosec2 (¿y0/a)]¿
