Motion de-blurring by second-order intensity-correlated imaging

Zunwang Bo; Wenlin Gong; Shensheng Han

doi:10.3788/COL201614.070301

Journals >Chinese Optics Letters >Volume 14 >Issue 7 >Page 070301 > Article

Chinese Optics Letters
Vol. 14, Issue 7, 070301 (2016)

Motion de-blurring by second-order intensity-correlated imaging

Zunwang Bo, Wenlin Gong^*, and Shensheng Han

Author Affiliations

Key Laboratory for Quantum Optics and Center for Cold Atom Physics of CAS, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

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DOI: 10.3788/COL201614.070301 Cite this Article Set citation alerts

Zunwang Bo, Wenlin Gong, Shensheng Han. Motion de-blurring by second-order intensity-correlated imaging[J]. Chinese Optics Letters, 2016, 14(7): 070301 Copy Citation Text

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Abstract

For a Hanbury Brown and Twiss system, the influence of relative motion between the object and the detection plane on the resolution of second-order intensity-correlated imaging is investigated. The analytical results, which are backed up by experiments, demonstrate that the amplitude and mode of the object’s motion have no effect on the second-order intensity-correlated imaging and that high-resolution imaging can be always achieved by using a phase-retrieval method from the diffraction patterns. The use of motion de-blurring imaging for this approach is also discussed.

h (ξ, u, t) \propto \int d x exp {\frac{j k}{2 z} {(x - u)}^{2}} \times T (x - η (t)) \exp {- \frac{j k}{f} ξ x},

(1)

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G^{(2, 2)} (ξ_{1}, ξ_{2}) = 〈 I_{1} (ξ_{1}) I_{2} (ξ_{2}) 〉 = 〈 \int d u_{1} d u_{1}^{'} d u_{2} d u_{2}^{'} S (u_{1}) S^{*} (u_{1}^{'}) S (u_{2}) S^{*} (u_{2}^{'}) \times h_{1} (ξ_{1}, u_{1}) h_{1}^{*} (ξ_{1}, u_{1}^{'}) h_{2} (ξ_{2}, u_{2}) h_{2}^{*} (ξ_{2}, u_{2}^{'}) 〉 = \int d u_{1} d u_{1}^{'} d u_{2} d u_{2}^{'} 〈 S (u_{1}) S^{*} (u_{1}^{'}) S (u_{2}) S^{*} (u_{2}^{'}) 〉 \times 〈 h_{1} (ξ_{1}, u_{1}) h_{1}^{*} (ξ_{1}, u_{1}^{'}) h_{2} (ξ_{2}, u_{2}) h_{2}^{*} (ξ_{2}, u_{2}^{'}) 〉,

(2)

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〈 S (u) S^{*} (u^{'}) 〉 \propto I_{0} δ (u - u^{'}),

(3)

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Δ G^{(2, 2)} (ξ_{1}, ξ_{2}) = 〈 I_{1} (ξ_{1}) I_{2} (ξ_{2}) 〉 - 〈 I_{1} (ξ_{1}) 〉 〈 I_{2} (ξ_{2}) 〉 .

(4)

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Δ G^{(2, 2)} (ξ_{1}, ξ_{2}) \propto 〈 | F {{| T (\frac{2 π}{λ f} (ξ_{1} - ξ_{2})) |}^{2}} {\times \exp {\frac{j k}{f} (ξ_{1} - ξ_{2}) η (t)} |}^{2} 〉 \propto {| F {{| T (\frac{2 π}{λ f} (ξ_{1} - ξ_{2})) |}^{2}} |}^{2},

(5)

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Δ G^{2, 2} (ξ_{1}, ξ_{2} = 0) \propto {| F {{| T (\frac{2 π}{λ f} ξ_{1}) |}^{2}} |}^{2} .

(6)

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Zunwang Bo, Wenlin Gong, Shensheng Han. Motion de-blurring by second-order intensity-correlated imaging[J]. Chinese Optics Letters, 2016, 14(7): 070301

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