The Parametric Optimization of Wire Dipole Antennas

The shape representation of planar wire dipole antennas of fixed radius is discussed. Away from the feed point the shape can be always represented as a arc-length parametrizable Lipschitz-continuously differentiable curve. The representation is applied to classical directivity optimization design problems as well as impedance optimization problems. By such an optimization, it is shown that directive wire dipoles of length (3/2)λ can be tuned by shape optimization and that the real part of input impedance of λ/2 dipole is bounded from above if the imaginary part must be small.