Introduction
Antenna design is mostly concerned with optimizing two properties: radiation pattern and input impedance. Radiation pattern optimization typically involves two tasks: designing the antenna geometry and materials to support a set of natural modes; and determining the feed point locations such that the desired modes are excited. Input impedance optimization involves designing the feed locations and excitations such that the current at the feed points does not change much over frequency and is well-matched to the feed transmission line. Optimization of both properties can be greatly assisted by the judicious application of characteristic mode theory [1], [2].