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

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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.

© 2006 Optical Society of America

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