# Maximum Gain, Effective Area, and Directivity

@article{Gustafsson2019MaximumGE, title={Maximum Gain, Effective Area, and Directivity}, author={Mats G. Gustafsson and Miloslav Capek}, journal={IEEE Transactions on Antennas and Propagation}, year={2019}, volume={67}, pages={5282-5293} }

Fundamental bounds on antenna gain are found via convex optimization of the current density in a prescribed region. Various constraints are considered, including self-resonance and only partial control of the current distribution. Derived formulas are valid for arbitrarily shaped radiators of a given conductivity. All the optimization tasks are reduced to eigenvalue problems, which are solved efficiently. The second part of this paper deals with superdirectivity and its associated minimal costs…

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