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Fortschritte der Physik

Correlated imaging with macroscopic fields

E. Brambilla, A. Gatti, Morten Bache, Luigi A. Lugiato

Published Oct 11, 2004• 5 citations
Publisher

Abstract

Abstract We demonstrate analytically that correlated imaging in the regime of large photon number can be implemented using both a classical and an entangled source. The classically correlated beams are obtained by dividing thermal radiation by a beam splitter while entangled beams are obtained through parametric down‐conversion. By treating the two system in parallel, a formal analogy is outlined between the two cases showing that classical beams can mimic qualitatively all the imaging features of the entangled beams. We also propose a method to improve substantially the imaging performances of correlated imaging which is based on homodyne detection combined with spatial averages.

DOI
10.1002/prop.200410178

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•Jan 1, 2005•0 citations
Abstract We demonstrate analytically that correlated imaging in the regime of large photon number can be implemented using both a classical and an entangled source. The classically correlated beams are obtained by dividing thermal radiation by a beam splitter while entangled beams are obtained through parametric down‐conversion. By treating the two system in parallel, a formal analogy is outlined between the two cases showing that classical beams can mimic qualitatively all the imaging features of the entangled beams. We also propose a method to improve substantially the imaging performances of correlated imaging which is based on homodyne detection combined with spatial averages.
We analytically show that it is possible to perform coherent imaging by using the classical correlation of two beams obtained by splitting incoherent thermal radiation. A formal analogy is demonstrated between two such classically correlated beams and two entangled beams produced by parametric down-conversion. Because of this analogy, the classical beams can mimic qualitatively all the imaging properties of the entangled beams, even in ways which up to now were not believed possible. A key feature is that these classical beams are spatially correlated both in the near field and in the far field. Using realistic numerical simulations the performances of a quasithermal and a parametric down-conversion source are shown to be closely similar, both for what concerns the resolution and statistical properties. The results of this paper provide a scenario for the discussion of what role the entanglement plays in correlated imaging.
We analytically show that it is possible to perform coherent imaging by using the classical correlation of two beams obtained by splitting incoherent thermal radiation. A formal analogy is demonstrated between two such classically correlated beams and two entangled beams produced by parametric down-conversion. Because of this analogy, the classical beams can mimic qualitatively all the imaging properties of the entangled beams, even in ways which up to now were not believed possible. A key feature is that these classical beams are spatially correlated both in the near-field and in the far-field. Using realistic numerical simulations the performances of a quasi-thermal and a parametric down-conversion source are shown to be closely similar, both for what concerns the resolution and statistical properties. The results of this paper provide a new scenario for the discussion of what role the entanglement plays in correlated imaging.
We formulate a theory for entangled imaging, which includes also the case of a large number of photons in the two entangled beams. We show that the results for imaging and the wave-particle duality features, which have been demonstrated in the microscopic case, persist in the macroscopic domain. Although the visibility of the information retrieved via correlation measurements in the regime of high photon number is lower than in the coincidence counting regime, we show that efficient reconstruction of both the image and the diffraction pattern of an object is possible.
We formulate a theory for entangled imaging that includes the case of a large number of photons in \nthe two entangled beams. We show that the results for imaging and the wave–particle duality features, which \nhave been demonstrated in the microscopic case, persist in the macroscopic domain. Although the visibility of \nthe information retrieved via correlation measurements in the regime of a high number of photons is lower than \nin the coincidence counting regime, we show that efficient reconstruction of both the image and the diffraction \npattern of an object is possible