Superoscillation in speckle patterns

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dc.creatorDennis, Mark R.
dc.creatorHamilton, Alasdair C.
dc.creatorCourtial, Johannes
dc.date2008-10-10
dc.date2008-11-05
dc.date.accessioned2026-07-07T12:10:39Z
dc.date.available2026-07-07T12:10:39Z
dc.descriptionWaves are superoscillatory where their local phase gradient exceeds the maximum wavenumber in their Fourier spectrum. We consider the superoscillatory area fraction of random optical speckle patterns. This follows from the joint probability density function of intensity and phase gradient for isotropic gaussian random wave superpositions. Strikingly, this fraction is 1/3 when all the waves in the two-dimensional superposition have the same wavenumber. The fraction is 1/5 for a disk spectrum. Although these superoscillations are weak compared with optical fields with designed superoscillations, they are more stable on paraxial propagation.
dc.description3 pages, two figures, Optics Letters style
dc.identifierhttps://arxiv.org/abs/0810.1948
dc.identifierhttp://arxiv.org/abs/0810.1948
dc.identifierOptics Letters 33 (2008) 2976-2978
dc.identifierdoi:10.1364/OL.33.002976
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209993
dc.subjectOptics
dc.titleSuperoscillation in speckle patterns
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