Superoscillation in speckle patterns

被引：98

作者：

Dennis, Mark R. ^{[1
]}

Hamilton, Alasdair C. ^{[2
]}

Courtial, Johannes ^{[2
]}

机构：

[1] Univ Bristol, HH Wills Phys Lab, Bristol BS8 1TL, Avon, England

[2] Univ Glasgow, Sch Phys & Astron, Glasgow G12 8QQ, Lanark, Scotland

来源：

OPTICS LETTERS | 2008年 / 33卷 / 24期

关键词：

D O I：

10.1364/OL.33.002976

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Waves 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. (C) 2008 Optical Society of America

引用

页码：2976 / 2978

页数：3

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