Abstract

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.

© 2006 Optical Society of America

Nonparaxial fields with maximum joint spatial-directional localization. I. Scalar case

Miguel A. Alonso, Riccardo Borghi, and Massimo Santarsiero
J. Opt. Soc. Am. A 23(3) 691-700 (2006)

Joint spatial-directional localization features of wave fields focused at a complex point

Miguel A. Alonso, Riccardo Borghi, and Massimo Santarsiero
J. Opt. Soc. Am. A 23(4) 933-939 (2006)

Monochromatic electromagnetic fields with maximum focal energy density

Nicole J. Moore, Miguel A. Alonso, and Colin J. R. Sheppard
J. Opt. Soc. Am. A 24(10) 3115-3122 (2007)

Monochromatic scalar fields with maximum focal irradiance

Nicole J. Moore, Miguel A. Alonso, and Colin J. R. Sheppard
J. Opt. Soc. Am. A 24(7) 2057-2064 (2007)

Uncertainty products for nonparaxial wave fields

M. A. Alonso and G. W. Forbes
J. Opt. Soc. Am. A 17(12) 2391-2402 (2000)