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arXiv 0810.1948physics.optics
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散斑图中的超振荡

Superoscillation in speckle patterns

Mark R. Dennis, Alasdair C. Hamilton, Johannes Courtial

摘要:

当波的局部相位梯度超过其傅立叶谱中的最大波数时,波是超振荡的。我们考虑随机光学散斑图的超振荡面积分数。这是由各向同性高斯随机波叠加的强度和相位梯度的联合概率密度函数得出的。引人注目的是,当二维叠加中的所有波具有相同的波数时,这个分数是1/3。对于圆盘光谱,该分数为1/5。虽然这些超振荡与具有设计超振荡的光场相比很弱,但它们在傍轴传播时更稳定。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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