Quantum limits of super-resolution in reconstruction of optical objects

Details Quantum limits of super-resolution in reconstruction of optical objects Quantum limits of super-resolution in reconstruction of optical objects

2004-12-15

arxiv.org/abs/quant-ph/0412120v1

Physics

Quantum Physics

23 pages, 7 figures. Submitted to Physical Review A e-mail: Mikhail.kolobov@univ-lille1.fr

Scientific paper

10.1103/PhysRevA.71.043802

We investigate analytically and numerically the role of quantum fluctuations in reconstruction of optical objects from diffraction-limited images. Taking as example of an input object two closely spaced Gaussian peaks we demonstrate that one can improve the resolution in the reconstructed object over the classical Rayleigh limit. We show that the ultimate quantum limit of resolution in such reconstruction procedure is determined not by diffraction but by the signal-to-noise ratio in the input object. We formulate a quantitative measure of super-resolution in terms of the optical point-spread function of the system.

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