Nonparaxial fields with maximum joint spatial-directional localization. II. Vectorial case.
The monochromatic nonparaxial vector fields that achieve a minimum spatial spread for a given directional spread are found. The derivation of these fields is analogous to the one presented in part I of this series for the case of scalar fields. This derivation is based on a variational treatment and multipolar expansion. The resulting lower bounds for the spreads of vector fields turn out to be considerably more restrictive than for scalar fields.
Alonso
Miguel A
MA
The Institute of Optics, University of Rochester, Rochester, New York 14627, USA. alonso@optics.rochester.edu
Borghi
Riccardo
R
Santarsiero
Massimo
M