In paraxial optics, the spatial and angular localization of a beam are usually characterized through second moments in intensity. For these measures, Gaussian beams have the property of achieving a minimum angular spread for a given spatial spread (or beam waist). For wide-angle fields, however, the standard measures of spatial and angular localization become inappropriate, and new definitions must be used. Previously proposed definitions [J. Opt. Soc. Am. A 17, 2391 (2000)] are adopted, and the scalar monochromatic wave fields that achieve a minimum angular spread for a given spatial spread are found. (C) 2006 Optical Society of America.
Alonso, M.a., Borghi, R., Santarsiero, M. (2006). Nonparaxial fields with maximum joint spatial-directional localization. I. Scalar case. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION, 23(3), 691-700 [10.1364/JOSAA.23.000691].
Nonparaxial fields with maximum joint spatial-directional localization. I. Scalar case
BORGHI, Riccardo;
2006-01-01
Abstract
In paraxial optics, the spatial and angular localization of a beam are usually characterized through second moments in intensity. For these measures, Gaussian beams have the property of achieving a minimum angular spread for a given spatial spread (or beam waist). For wide-angle fields, however, the standard measures of spatial and angular localization become inappropriate, and new definitions must be used. Previously proposed definitions [J. Opt. Soc. Am. A 17, 2391 (2000)] are adopted, and the scalar monochromatic wave fields that achieve a minimum angular spread for a given spatial spread are found. (C) 2006 Optical Society of America.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.