Analysis of the rectangular patch antenna printed on elliptic-cylindrical substrates

Cavity model analysis is presented of a rectangular patch antenna printed o n a thin elliptic-cylindrical substrate. The field under the patch is expan ded in terms of Mathieu functions of real and complex order. The radiated f ield is computed by considering equivalent current distributions on the sur face of the elliptic cylinder and is expressed in terms of elliptical harmo nics. The electrical parameters of the antenna are analysed as functions of the eccentricity of the elliptic support.