Application of an algebraic tool to fast analysis and synthesis of conformal printed antennas

The analysis and synthesis of conformal printed antennas on conical surfaces are investigated. The theoretical model is based on the cavity model and the concept of dynamic permittivity to take into account the thickness and the fringing field effects. The originality comes from the use of a computer algebra system to generate the polynomial expression of the zeros of characteristic equations and the analytical relation between the half-angle of the cone and the order of the associated Legendre functions. Fast and accurate expressions for the resonance frequency are given for a rectangular radiating element operating in TM₁₀ and TM₀₁ modes. This model is easily included in a CAD package. Very good agreement is observed between numerical results and experiments