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arXiv · 1703.08833

Subdiffraction incoherent optical imaging via spatial-mode demultiplexing: semiclassical treatment

Mankei Tsang
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Abstract

I present a semiclassical analysis of a spatial-mode demultiplexing (SPADE) measurement scheme for far-field incoherent optical imaging under the effects of diffraction and photon shot noise. Building on previous results that assume two point sources or the Gaussian point-spread function, I generalize SPADE for a larger class of point-spread functions and evaluate its errors in estimating the moments of an arbitrary subdiffraction object. Compared with the limits to direct imaging set by the Cram\'er-Rao bounds, the results show that SPADE can offer far superior accuracy in estimating the second and higher-order moments.

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Mankei Tsang. 2017-03-26. Subdiffraction incoherent optical imaging via spatial-mode demultiplexing: semiclassical treatment. https://doi.org/10.1103/physreva.97.023830

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