Degrees of freedom of the field and maximum directivity
Paper in proceedings, 2016

This contribution discusses the relationship between the number of degrees of freedom (DoF) and the maximum directivity for an arbitrary set of sources enclosed by a given spherical surface. In particular, it is shown that the number of DoF is equal to twice the maximum directivity. This provides a directivity limitation for arbitrarily sized antennas, thus, extending the validity of the known formulas for electrically large and electrically small antennas.


E. Martini

University of Siena

Per-Simon Kildal

Chalmers, Signals and Systems, Communication and Antenna Systems, Antennas

S. Maci

University of Siena

2016 URSI International Symposium on Electromagnetic Theory, EMTS 2016

775-776 7571516

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